document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179662>Question 1179662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide 75 into two parts so that one part is 2/3 of the other. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853753 by </B><A HREF=/tutors/aboutme.mpl?userid=n2><B>n2(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=n2><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "It is my cumulative review #2 to solutions by @mananth at this forum.<BR>\n" );
document.write( "For my previous cumulative review #1 see the link<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1130236.html\r<BR>\n" );
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document.write( "From Jan.9, 20026 and during Jan. 2026 I continued checking solutions <BR>\n" );
document.write( "provided by @mananth at this forum www.algebra.com .\r<BR>\n" );
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document.write( "For now, Feb.03, 2026, I reviewed/checked about  2*17*31 = 1054 problems, solved<BR>\n" );
document.write( "by @mananth at this web-site (problems from  0..29  to  1260..1289  inclusively<BR>\n" );
document.write( "of the list  https://www.algebra.com/tutors/your-answers.mpl?userid=mananth ).\r<BR>\n" );
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document.write( "Of them, I found about 83 problems solved incorrectly. <BR>\n" );
document.write( "Below is the list of these problems, solved incorrectly.<BR>\n" );
document.write( "For each of these problems, my correct solution is placed at the same spot/link.\r<BR>\n" );
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document.write( "I started this my checking job from some of the problems, and after checking approximately 70 problems,<BR>\n" );
document.write( "I started noticing the repeating patterns in problems and in their solutions.<BR>\n" );
document.write( "Quite often, these solutions were incorrect, and the errors were of the kind a live person would not <BR>\n" );
document.write( "make them. It led me to the idea that the solution were actually produced not by a living person, <BR>\n" );
document.write( "but by a computer code, instead. So, it was a very early version of the Artificial Intelligence.\r<BR>\n" );
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document.write( "After getting this observation, two ideas led me.\r<BR>\n" );
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document.write( "First idea was, of course, to clean this forum from erroneous solutions.<BR>\n" );
document.write( "Second idea was to learn how far this artificial intelligence may lead in producing wrong and right solution.<BR>\n" );
document.write( "So, this file is my report on this issue.\r<BR>\n" );
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document.write( "I collected here only wrong solutions (wrong from a Math point of view).<BR>\n" );
document.write( "There were also cases, when the solutions were led to correct answers, but were wrong<BR>\n" );
document.write( "from an educative/pedagogical point of view. Then suggestions \"wrong/correct\" become more individualized/personalized,<BR>\n" );
document.write( "and I did not include such cases in this my file. So, only incorrect solutions are collected/listed here.\r<BR>\n" );
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document.write( "From about 1000 reviewed problems, the number of incorrectly solved is about 80 (for now).<BR>\n" );
document.write( "In other words, about 8% of all problems were solved incorrectly by @mananth (by his version of AI).\r<BR>\n" );
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document.write( "961374<BR>\n" );
document.write( "Kyle Wong loans $12,000 to his brother-in-law. He will be repaid at the end of 9 years with interest at 8% compounded semiannually. Find out how much will be repaid.\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/NumericFractions/Numeric_Fractions.faq.question.961374.html\r<BR>\n" );
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document.write( "\n" );
document.write( "1206359<BR>\n" );
document.write( "The temperature in a town varies by 15 degrees F. The average temperature is 73 degrees F. <BR>\n" );
document.write( "What is the correct absolute value equation?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/absolute-value/absolute-value.faq.question.1206359.html\r<BR>\n" );
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document.write( "1166470<BR>\n" );
document.write( "From a cylindrical object of diameter 70cm and height 84cm a right solid cone having is base as one of circular ends <BR>\n" );
document.write( "of the cylinder and with height 84cm is removed. calculate the area of the remaining solid object and calculate the <BR>\n" );
document.write( "remaining solid object (take pia radius to be 22/7)\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Volume/Volume.faq.question.1166470.html\r<BR>\n" );
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document.write( "801507<BR>\n" );
document.write( "The wheels on a certain bicycle have a radius of 13.2 inches. Suppose the wheels roll at 150 revolutions per minute <BR>\n" );
document.write( "along flat ground without slipping. How fast is the bicycle moving in miles per hour?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/conversion/Reduction-of-unit-multipliers.faq.question.801507.html\r<BR>\n" );
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document.write( "1206316<BR>\n" );
document.write( "How do you solve sin x + square root of 2 = - sin x on the interval -pi/2 < x < pi/2\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1206316.html\r<BR>\n" );
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document.write( "1206174<BR>\n" );
document.write( "An egg tart costs $1.60. Each person is entitled to buy another 2 egg tarts at $1.30 each after buying 3 egg tarts. <BR>\n" );
document.write( "Find the maximum you can buy with $24.00 and how much money would be left over.\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Human-and-algebraic-language/Human-and-algebraic-language.faq.question.1206174.html\r<BR>\n" );
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document.write( "1205048<BR>\n" );
document.write( "a hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. <BR>\n" );
document.write( "the hawk swoops down toward the mouse at an angle of 30 degree. <BR>\n" );
document.write( "what is the distance from the tree branch to the mouse?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1205048.html\r<BR>\n" );
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document.write( "\n" );
document.write( "1205029<BR>\n" );
document.write( "A heavy cube of side 8cm is placed vertically in a cylindrical tank of radius 7cm which contains water.<BR>\n" );
document.write( "Calculate the rise in the water level if the original depth of water was:<BR>\n" );
document.write( "a) 10cm<BR>\n" );
document.write( "b) 2cm\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/playground/test.faq.question.1205029.html\r<BR>\n" );
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document.write( "1205036 <BR>\n" );
document.write( "14x squared = 7x\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1205036.html\r<BR>\n" );
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document.write( "1205024    (10)<BR>\n" );
document.write( "In a right angle triangle ABC side AC is 4 cm shorter than the hypotenuse and side BC is also 4 cm shorter <BR>\n" );
document.write( "than the hypotenuse. Find the dimensions of the triangle.\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Problems-with-consecutive-odd-even-integers/Problems-with-consecutive-odd-even-integers.faq.question.1205024.html\r<BR>\n" );
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document.write( "1204592<BR>\n" );
document.write( "An amount of money is invested at 12%/a interest. Write an equation and solve it to determine the length of time it will take for each of the following events to occur. Round answers to the nearest tenth of a year.<BR>\n" );
document.write( "- the original amount to double if interest is compounded annually<BR>\n" );
document.write( "- the original amount to triple if interest is compounded monthly\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1204592.html\r<BR>\n" );
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document.write( "1048028<BR>\n" );
document.write( "the ratio of mr paul's salary to mrs anna's salary is 3:4. if mrs anna draws a salary of Rs 28000, <BR>\n" );
document.write( "find mr. paul's salary.\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/formulas/Geometric_formulas.faq.question.1048028.html\r<BR>\n" );
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document.write( "1198148<BR>\n" );
document.write( "You have $300,000 saved for retirement. Your account earns 8% interest. <BR>\n" );
document.write( "How much will you be able to pull out each month, if you want to be able to take withdrawals for 15 years?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1198148.html\r<BR>\n" );
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document.write( "1198906<BR>\n" );
document.write( "Assume that you want to have $ 1900 saved in a sinking fund in 1 year. The account pays 3.5% compounded monthly. <BR>\n" );
document.write( "What should be your monthly payments?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1198906.html\r<BR>\n" );
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document.write( "\n" );
document.write( "1202648<BR>\n" );
document.write( "Bob and his brother Jim live 95 miles apart and like to meet and play golf together,<BR>\n" );
document.write( "the course is 15 miles further for Bob as it is from Jim but Bob averages 10 mph faster<BR>\n" );
document.write( "than Jim so if they want to meet at the course at 9:00 and Jim leaves at 8:00<BR>\n" );
document.write( "what time would Bob need to leave?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1202648.html\r<BR>\n" );
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document.write( "930689<BR>\n" );
document.write( "Find the smallest natural number that is simultaneously the sum of 9, 10 and 11 consecutive integers.\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/real-numbers/real-numbers.faq.question.930689.html\r<BR>\n" );
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document.write( "1202470<BR>\n" );
document.write( "Find S17 for the series 8 - 4 + 2 - 1+ ... \r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1202470.html\r<BR>\n" );
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document.write( "1202468<BR>\n" );
document.write( "Calculate the sum between and including the terms t16 and t53 of an arithmetic sequence with first term 543 and common difference - 12\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1202468.html\r<BR>\n" );
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document.write( "1202418<BR>\n" );
document.write( "The freight train headed south at 9 a.m. and the express train headed north from the same station at noon. <BR>\n" );
document.write( "At 3 p.m., the trains were 420 miles apart. What was the speed of each if the speed of the express train <BR>\n" );
document.write( "was 20 mph greater than the speed of the freight train? \r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1202418.html\r<BR>\n" );
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document.write( "1202411    (20)<BR>\n" );
document.write( "Which of the following equations represent the product of two consecutive odd<BR>\n" );
document.write( "integers that equal 63?<BR>\n" );
document.write( "A x(x − 1) = 63<BR>\n" );
document.write( "B x(x + 1) = 63<BR>\n" );
document.write( "C x(x − 2) = 63<BR>\n" );
document.write( "D x(x + 2) = 63<BR>\n" );
document.write( "E (x + 9)(x − 7) = 0<BR>\n" );
document.write( "F (x + 9)(x + 7) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1202411.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1205956<BR>\n" );
document.write( "The third term of a g.p is 12 and the first term is 48.find the sum of the first 11 terms\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1205956.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1079272<BR>\n" );
document.write( "Mr chen deposit a certain sum of money in a bank in the interest rate of the bank decreases from 3.75% per annum to 3.5% per annum. Mr chen's interest will decrease by $50 in a year. find the sum of money he deposites\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Pythagorean-theorem/Pythagorean-theorem.faq.question.1079272.html\r<BR>\n" );
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document.write( "1112673<BR>\n" );
document.write( " worker is employed to work for 30 days at the rate of Rs 120 per day. If he is absent on a particular day he loses Rs 30. <BR>\n" );
document.write( "The worker earns total of Rs 2700 for that period. For how many days was the worker absent?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.1112673.html\r<BR>\n" );
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document.write( "\n" );
document.write( "1186851 <BR>\n" );
document.write( "Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does <BR>\n" );
document.write( "in an account paying 5%. If he earns $152.75 in interest in one year from both accounts combined, how much did he invest altogether?<BR>\n" );
document.write( "Total Principal in Both Accounts = $\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.1186851.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1202331 <BR>\n" );
document.write( "Ten years ago Linda was three times christys age then. Ten years from now christys age will be 4/7 of Linda’s age then. <BR>\n" );
document.write( "How old are they now.\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/age/Age_Word_Problems.faq.question.1202331.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1204592<BR>\n" );
document.write( "An amount of money is invested at 12%/a interest. Write an equation and solve it to determine the length of time it will take <BR>\n" );
document.write( "for each of the following events to occur. Round answers to the nearest tenth of a year.<BR>\n" );
document.write( "- the original amount to double if interest is compounded annually<BR>\n" );
document.write( "- the original amount to triple if interest is compounded monthly\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1204592.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1204363<BR>\n" );
document.write( "Write an equation that can form a linear system of equations with -2x + y = 4 so that the system has:<BR>\n" );
document.write( "a) no solution _______________<BR>\n" );
document.write( "b) many solutions _______________<BR>\n" );
document.write( "c) one solution _______________\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.1204363.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1202261<BR>\n" );
document.write( "construction crew wants to hoist a heavy beam so that it is standing up straight. They<BR>\n" );
document.write( "tie a rope to the beam, secure the base, and pull the rope through a pulley to raise one end<BR>\n" );
document.write( "A of the beam from the ground. When the beam makes an angle of 40o with the ground, the<BR>\n" );
document.write( "top of the beam is 8 ft above the ground.<BR>\n" );
document.write( "The construction site has some telephone wires crossing it.. The workers are concerned<BR>\n" );
document.write( "that the beam may hit the wires. When the beam makes an angle of 60o with the ground,<BR>\n" );
document.write( "the wires are 2 ft above the top of the beam. Will the beam clear the wires on its way to<BR>\n" );
document.write( "standing up straight? Explain your answer\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1202261.html\r<BR>\n" );
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document.write( "\n" );
document.write( "1201865<BR>\n" );
document.write( "The following 7 × 22 grid is divided into squares that are 1 unit by 1 unit.<BR>\n" );
document.write( "WebAssign PlotThe shortest possible path on this grid from A to B is 29 units long. One such path is shown in the figure. <BR>\n" );
document.write( "Let X be the set of all 29-unit-long paths from A to B.<BR>\n" );
document.write( "Compute |X|, the number of 29-unit-long paths from A to B.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1201865.html\r<BR>\n" );
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document.write( "1201799    (30)<BR>\n" );
document.write( "Finance/1201799: M wishes to determine how long it will take an initial deposit of $10,000 to double.<BR>\n" );
document.write( "Required:<BR>\n" );
document.write( "a) If M earns 10% annual interest on the deposit, how long will it take for him to double his money?<BR>\n" );
document.write( "b) How long will it take if he earns only 7% annual interest?<BR>\n" );
document.write( "c) Reviewing your findings in parts a and b, indicate what relationship exists between the interest rate <BR>\n" );
document.write( "and the amount of time it will take M to double his money.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1201799.html\r<BR>\n" );
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document.write( "1201644<BR>\n" );
document.write( "Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)<BR>\n" );
document.write( "A. even and doubles<BR>\n" );
document.write( "B. even or doubles\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1201644.html\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "1201515<BR>\n" );
document.write( "You have $500,000 saved for retirement. Your account earns 7% interest.<BR>\n" );
document.write( "How much will you be able to pull out each month, if you want to be able<BR>\n" );
document.write( "to take withdrawals for 20 years?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/playground/test.faq.question.1201515.html\r<BR>\n" );
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document.write( "\n" );
document.write( "1200913<BR>\n" );
document.write( "What monthly payment is required to amortize a loan of $50,000 over 10 years if interest at the rate of 6%/year is charged <BR>\n" );
document.write( "on the unpaid balance and interest calculations are made at the end of each month? (Round your answer to the nearest cent.)\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1200913.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1201213<BR>\n" );
document.write( "After 21% had been deducted for taxes, Formica's pay was $82.95. How much was Formica's pay before taxes were deducted?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1201213.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1201069<BR>\n" );
document.write( "You invest $ 5000 in Acme Inc. on January 1, 2000. Your investment returns 2.75 % compounded monthly.<BR>\n" );
document.write( "How much money will you have on June 30, 2006?\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.1201069.html\r<BR>\n" );
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document.write( "1201052    <BR>\n" );
document.write( "A black car travelled from a to c at 60km per hour. A blue car took 4 hours to travel the same distance. Both cars passed b at 2pm <BR>\n" );
document.write( "and the blue car reached c at 3pm. If b was 80km from c , what time did the black car leave a .\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1201052.html\r<BR>\n" );
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document.write( "1189904 <BR>\n" );
document.write( "Shauna is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy?<BR>\n" );
document.write( "XYZ-Tronic<BR>\n" );
document.write( "price - $629<BR>\n" );
document.write( "mail-in rebate $150<BR>\n" );
document.write( "TEC-U-COMP<BR>\n" );
document.write( "price - $649<BR>\n" );
document.write( "discount 25% off\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/proportions/Proportions.faq.question.1189904.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1189951 <BR>\n" );
document.write( "A 0.22 kg red striped pool ball is moving at 3.0 m/s North and it collides with a white cue ball<BR>\n" );
document.write( "that is 0.25 kg and it is moving at 1.0 m/s South. After the collision, the red striped ball continues<BR>\n" );
document.write( "at 2.5 m/s North. What is the velocity of the white cue ball?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1189951.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1201106<BR>\n" );
document.write( "A vertical aerial AB 9.6m high stands on ground which is inclined 12 degrees to the horizontal.<BR>\n" );
document.write( "A stay connects the top of the aerial A to a point C on the ground 10m downhill from B the foot of the aerial.<BR>\n" );
document.write( "Determine the length of the stay and the angle the stay makes with the ground.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/formulas/Geometric_formulas.faq.question.1201106.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182886    (40)<BR>\n" );
document.write( "WRITE THE EQUATION OF THE LINE PARALLEL TO 4X-5Y-10=0 THAT PASSES THROUGH (0,-3).\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1182886.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182721<BR>\n" );
document.write( "I think of a number. I multiply it by 5. I then subtract 19. Finally, I double the result. The result is 22.<BR>\n" );
document.write( "Find the original number.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.1182721.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182591<BR>\n" );
document.write( "A 0.5 kg block initially at rest on a frictionless horizontal surface is acted upon by a force of 8.0 N <BR>\n" );
document.write( "for a distance of 4.0 m how much kinetic energy does the block gain\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1182591.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182486<BR>\n" );
document.write( "A twin engine pontoon boat can cross the river in 18 hours when both engines are operating. It takes 27 hours longer for the boat<BR>\n" );
document.write( "to cross the river using only engine one than it does when using only engine two. How long would it take each engine working alone <BR>\n" );
document.write( "to power the boat so it can cross the river? Use lowercase variable t for time and write a quadratic equation to model this problem.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1182486.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1201069 <BR>\n" );
document.write( "You invest $ 5000 in Acme Inc. on January 1, 2000. Your investment returns 2.75 % compounded monthly. <BR>\n" );
document.write( "How much money will you have on June 30, 2006?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.1201069.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182444 <BR>\n" );
document.write( "The track is a 500 m circuit.  Ali practices running at a speed of 10kph. Ben practices cycling and travels at 25kph. <BR>\n" );
document.write( "How long does Ali take to run one lap?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1182444.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182443<BR>\n" );
document.write( "What is the momentum of a fuel tanker moving to the west that has a loaded tonnage of 800000 tons<BR>\n" );
document.write( "( lets use metric tons .. 1 ton = 1000 kg ) and a speed of 36.0 mph in kg*m/s\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1182443.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182271<BR>\n" );
document.write( "A ball is dropped from a height of 32 m. The ball bounces back 80 % of the distance it falls.<BR>\n" );
document.write( "To what height does the ball bounce after the 5th bounce? Round answers to one decimal place.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Functions/Functions.faq.question.1182271.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182420 <BR>\n" );
document.write( "How long will it take $3,000 to grow to $14,000 if it is invested at 5% compounded monthly?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1182420.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1182343 <BR>\n" );
document.write( "A store was purchased for 725,000 and the buyer made a 10% down payment. The balance was financed <BR>\n" );
document.write( "with a 6.35% loan for 27 years. Find the monthly payment.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1182343.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1181645    (50)<BR>\n" );
document.write( "The ball of a float valve has a diameter of 4 in., and the thickness of the metal is 0.05 in. <BR>\n" );
document.write( "How much does it weigh if it is made of copper? (Copper weighs 556 lb. per cu. ft.)\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Bodies-in-space/Bodies-in-space.faq.question.1181645.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1181614<BR>\n" );
document.write( " What is the solution to the system?<BR>\n" );
document.write( "-x-2y=2<BR>\n" );
document.write( "2x+3y=-3\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1181614.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1181560<BR>\n" );
document.write( "Write the equation of the line in slope-intercept form with slope of -3 passing through the point (6, -2).\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1181560.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1181419<BR>\n" );
document.write( " the standard form of the equation of the line that passes through<BR>\n" );
document.write( "(1/2, 2) and has slope -4.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1181419.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1181125 <BR>\n" );
document.write( "Given: cos A = 3/5, tan B = 12/5, A is in Quadrant 1 and is in Quadrant 3<BR>\n" );
document.write( "Find<BR>\n" );
document.write( "1.Sin (A + B)<BR>\n" );
document.write( "2.Sin (A - B)<BR>\n" );
document.write( "3.Cos (A + B)<BR>\n" );
document.write( "4.Cos (A - B)<BR>\n" );
document.write( "5.Tan (A - B)<BR>\n" );
document.write( "6.Tan ( A+ B)\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1181125.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1181029 <BR>\n" );
document.write( "A 3-inch diameter hole is drilled 6inches deep into the center and normal to the top face of brass cube 8 inches <BR>\n" );
document.write( "on the side. The hole is filled with lead. If a brass weighs 525lb/ft^3 and the lead weighs 705lb/ft^3. <BR>\n" );
document.write( "Find the total mass of the two metals\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1181029.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180923 <BR>\n" );
document.write( "Circles/1180923: What is the value of c? (The picture of the circle is in the link below):<BR>\n" );
document.write( "https://www.founderseducation.net/assets/images/84e9774a7a34720147b8049cfd04dc7a5795ec5c.png\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.1180923.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180833 <BR>\n" );
document.write( "The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1180833.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180511 <BR>\n" );
document.write( "Find the equation of the line which passes through point (1,1) and is perpendicular to line AB which passes through points A(1,-2) and B(5,6).\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Points-lines-and-rays/Points-lines-and-rays.faq.question.1180511.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180346 <BR>\n" );
document.write( "A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing at a rate <BR>\n" );
document.write( "of 1 foot each year. Determine how many years it will take for the two trees to reach the same height.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.1180346.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180052    (60)<BR>\n" );
document.write( "The half-life of the substance is 10 years. If we begin with 20 g of the substance, how much will be left after 5 years?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Exponential-and-logarithmic-functions/Exponential-and-logarithmic-functions.faq.question.1180052.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179655<BR>\n" );
document.write( "The bird capable of the fastest flying speed is the swift. A swift flying with the wind to a favorite feeding spot<BR>\n" );
document.write( "traveled 42 mi in 0.3 h. On returning, now against the wind, the swift was able to travel only 27 mi<BR>\n" );
document.write( "in the same amount of time. What is the rate of the swift in calm air, and what was the rate of the wind?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1179655.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180054<BR>\n" );
document.write( "Quadratic_Equations/1180054: What number should be added to the equation 2 x squared plus 8 x minus 5 equals 0 <BR>\n" );
document.write( "if you will use completing the square?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1180054.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179662  <BR>\n" );
document.write( "Divide 75 into two parts so that one part is 2/3 of the other.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/equations/Equations.faq.question.1179662.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179537 <BR>\n" );
document.write( "Could anyone help me with the next questions I sent.<BR>\n" );
document.write( "If angle a and angle b is same-side interior angles, and a is 30 degrees, what is angle B?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Angles/Angles.faq.question.1179537.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179401 <BR>\n" );
document.write( "Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to<BR>\n" );
document.write( "do the same job. How long would it take Peter to do the same job alone?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1179401.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179536<BR>\n" );
document.write( "If angle a and angle b are vertical angles and angle a is 90 degrees, what is angle B?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Angles/Angles.faq.question.1179536.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179513 <BR>\n" );
document.write( "The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).<BR>\n" );
document.write( "Find the equation of the perpendicular bisector of the side QR.<BR>\n" );
document.write( "Find the slope of the median of the triangle that passes through point R.<BR>\n" );
document.write( "Find the slope of the altitude of the triangle that passes through point Q.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1179513.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179874<BR>\n" );
document.write( "find a[n] for each geometric sequence a[12] for 96, 48, 24, ...\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1179874.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179761<BR>\n" );
document.write( "The  sum of two whole numbers is 29.  find the maximum possible product of the two numbers.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Human-and-algebraic-language/Human-and-algebraic-language.faq.question.1179761.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179689    (70)<BR>\n" );
document.write( "/AB/ IS A CHORD OF A CIRCLE OF RADIUS 10CM,M IS A MID-POINT OF /AB/ AND /NM/ PERPENDICULAR TO /AB/,IF /MN/=2CM CALCULATE /AB/\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1179689.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179658<BR>\n" );
document.write( " A plane traveling with the wind flew 1312.5 mi in 5.25 h. Against the wind, the plane required 6.25 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1179658.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179190<BR>\n" );
document.write( "Find the slope of the line through (-5,3) and (x+1, x-2).\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/formulas/Geometric_formulas.faq.question.1179190.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1178962<BR>\n" );
document.write( "The area of a garden is 972 square feet, and the length of its diagonal is 45 feet. Find the dimensions of the garden.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1178962.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1178941 <BR>\n" );
document.write( " Two six-sided dice are rolled. You are interested in getting the sum of the number of dots<BR>\n" );
document.write( "in the two dice.<BR>\n" );
document.write( "a. List all the possible outcomes.<BR>\n" );
document.write( "b. What is the probability that the sum of the two dice is at least 6?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1178941.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1178403  <BR>\n" );
document.write( "a closed cylindrical tank is 8 feet long and 3 feet in diameter.<BR>\n" );
document.write( "when lying in a horizontal position, the water is 2 feet deep.<BR>\n" );
document.write( "if the tank is the vertical position, the depth of water in the tank is?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Bodies-in-space/Bodies-in-space.faq.question.1178403.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1170459   <<<---===  wrong formulation to the problem and wrong solution, giving unrealistic answer<BR>\n" );
document.write( "A train after travelling 50km meets an accident and and after reducing 3/4 of its former speed arrives 25min late. <BR>\n" );
document.write( "If the accident occurred 24km behind it would have arrived 35 minutes late.<BR>\n" );
document.write( "What is the speed and distance travelled by the train.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1170459.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1198694<BR>\n" );
document.write( "The sum of cube root of two numbers is 128,while the sum of the reciprocals of their cubes is 2. What are thosw two numbers.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Square-cubic-other-roots/Square-cubic-other-roots.faq.question.1198694.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1177099 <BR>\n" );
document.write( "Two  kinds of fruits are displayed in a fruit stand. One is avocado fruit whose number is no more than thrice the other,<BR>\n" );
document.write( " which is melon. How many avocado and melons are there if there are atleast 20 total of fruits displayed.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Inequalities/Inequalities.faq.question.1177099.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1192417 <BR>\n" );
document.write( "from  the deck of 52 playing cards, how many ways can we choose 10 hearts and 10\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1192417.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1053994    (80)<BR>\n" );
document.write( "If Jackson deposited $400 at the end of each month in the saving account earing interest at the rate of 6%/year compounded monthly, <BR>\n" );
document.write( "how much will he have on deposite in his savings account at the end of 6 years, assuming that he makes no withdrawals during that <BR>\n" );
document.write( "period? Round your answers to two decimal places.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/expressions/expressions.faq.question.1053994.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "​1198831 <BR>\n" );
document.write( "If a bank pays 15% compounded semi-annually, how much should be deposited now to have $1800 in 5 years from now?\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1198831.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1180616<BR>\n" );
document.write( " pilot heads his jet due east. The jet has a speed of 680 km/h relative to the air. The wind is blowing due north with a speed of 64 km/h<BR>\n" );
document.write( "Find the true speed and direction of the jet\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1180616.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1179966   (83)<BR>\n" );
document.write( "Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. <BR>\n" );
document.write( "There are 10 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 10 fenceposts? Use 3.14 for π, <BR>\n" );
document.write( "and round your answer to the nearest hundredth.\r<BR>\n" );
document.write( "\n" );
document.write( "https://www.algebra.com/algebra/homework/formulas/Geometric_formulas.faq.question.1179966.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "/\/\/\/\/\/\/\/\/\/\/\/\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You may ask me - ok, @mananth is a computer code, or AI - what does it change ?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Ok, below are my thoughts and my suggestions about it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(1)  First, 8.3% wrong solutions is too much for an AI.\r\n" );
document.write( "     You may say \"ok, in 20 years it will be perfect\".\r\n" );
document.write( "     Probably, it can be true, but I tell you about what I see now.\r\n" );
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document.write( "     By the way, my feeling is that good AI acceptable level for wrong solutions\r\n" );
document.write( "     should be at most 1:1000, or 0.1%.\r\n" );
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document.write( "(2)  Second, it can be perfect in 20 years under one necessary condition: \r\n" );
document.write( "     the best minds in Math solving, writing and teaching, the best Math educators  \r\n" );
document.write( "     and the best computer programming specialists will work on it \r\n" );
document.write( "     starting from now and during 20 years.\r\n" );
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document.write( "     What does it mean and why ? - Raising and educating a specialist in solving Math, writing Math \r\n" );
document.write( "     and explaining Math takes 10 - 15 - 20 years to get a professional level, when a person can speak, \r\n" );
document.write( "     write and teach professionally. (And, usually, the fingers of one hand are enough \r\n" );
document.write( "     to count such specialists of a national level in each country and in each generation).\r\n" );
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document.write( "     If you make such experiments with the novices, it will take 10-15-20 years for them to get a professional \r\n" );
document.write( "     level before they will learn to speak/write at the professional level, so it is a WRONG way to assign \r\n" );
document.write( "     novices for key positions for such an activity.\r\n" );
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document.write( "     It is the second conclusion from my arguments: the writers and the content creators must be professionals\r\n" );
document.write( "     from the very beginning. Neither @mananth, nor @CPhill are such professionals.\r\n" );
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document.write( "(3)  Third, when a computer code (like Artificial Intelligence) produces wrong solutions, it becomes \r\n" );
document.write( "     double and triple dangerous, since it works as the source of unlimited erroneous solutions.\r\n" );
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document.write( "     So, such pretendent to the AI position is needed in doubled and tripled attention from developers,\r\n" );
document.write( "     from well-wishers around and from the whole community.\r\n" );
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document.write( "     Often, I see the solutions by @mananth (= or his code) that produce correct final answer,\r\n" );
document.write( "     but are incorrect from the point of view of the teaching methodology.\r\n" );
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document.write( "     When a computer code (like Artificial Intelligence) produces pedagogically wrong solutions, \r\n" );
document.write( "     then such tools become inappropriate for teaching - and again, they require doubled and tripled attention.\r\n" );
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document.write( "(4)  Fourth, the computer codes which I see in the posts by @CPhill or @mananth, have no that level of flexibility\r\n" );
document.write( "     and precision to serve at the adequate level.  So, the level of the computer coders must be at least \r\n" );
document.write( "     one order (one level) higher.\r\n" );
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document.write( "(5)  Fifth, the writing, coding and programming discipline must be changed.\r\n" );
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document.write( "     For now, the AI codes for solving school Math problems that I saw so far, do not show a tendency \r\n" );
document.write( "     to make checks of their solutions. They do not think that is is MANDATORY.  It is a crude error, \r\n" );
document.write( "     which must be fixed.\r\n" );
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document.write( "(6)  Next.  As the life has taught me, many of incoming problems are mathematically non-sensical.\r\n" );
document.write( "     So, the input flow is quite dirty, and therefore, idiotic incoming problems should be filtered out.\r\n" );
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document.write( "OK. So, these are conclusions and directions from my overview that should be taken into account by developers of AI, <BR>\n" );
document.write( "if they want to have a perfect product in 20 years.\r<BR>\n" );
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document.write( "OK and very good.\r<BR>\n" );
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document.write( "There is one more issue, which I hesitate to pronounce.\r<BR>\n" );
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document.write( "It is well known fact that the peak in school Math education in the world (in all industrially<BR>\n" );
document.write( "developed countries) was from the middle of 1950s to, roughly say, 1970.<BR>\n" );
document.write( "After that peak, the recession of the level of Math education was observed worldwide.\r<BR>\n" );
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document.write( "So and therefore, the specialists who are able to communicate with young students, <BR>\n" );
document.write( "to speak with them, to teach them Math, to inspire them and who got their Math education at that time,<BR>\n" );
document.write( "have a special value.  People of this generation are quite old and will go out soon -<BR>\n" );
document.write( "so and therefore, it is of great importance, great necessity and high urgency to use the experience <BR>\n" );
document.write( "of those of them, who still have a potential to share their knowledge, skills, style, tone, spirit and abilities.\r<BR>\n" );
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document.write( "When these people will go out totally, it will be too late.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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