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# Recent problems solved by 'solver91311'

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 Evaluation_Word_Problems/674703: This is a mathogram- the letters are substituted for digits of numbers. Find each digit represented by each letter in order to make a balanced equation as shown below. Each of the six letters must have a different number value. Two+Two=Four T=__ W=___ 0=___ F=___ U=___ R=___1 solutions Answer 419400 by solver91311(16885)   on 2012-11-01 16:24:17 (Show Source): You can put this solution on YOUR website! I found three sets of numbers that work: 867 + 867 = 1734 734 + 734 = 1468 928 + 928 = 1856 And I'm pretty sure that is all there are. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/674704: I cant seem to find the right answer. If $5000 is invested at an interest rate of 3% each year, find the amount of the investment at the end of 4 years for the following compounding methods. a) annual 1 solutions Answer 419387 by solver91311(16885) on 2012-11-01 15:08:53 (Show Source): You can put this solution on YOUR website! Where have you looked? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Exponents/674695: solve each equation for x. Round the answers to the nearest hundredth. 10^x=35 10^x=91 10^x=0.21 solutions Answer 419384 by solver91311(16885) on 2012-11-01 15:03:14 (Show Source): You can put this solution on YOUR website! Take the base 10 log of both sides. Use to write: Use to write: From here it is just calculator work. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  logarithm/674687: I have two questions concerning Logarithms. I appreciate any help. a) Write as a single logarithm: 2log3^x+log3^y-log3^z this is what I came up with but...? 2log3^(x+y-z) b) solve for x: 2log3^(x+7+5) = log4^161 solutions Answer 419383 by solver91311(16885) on 2012-11-01 14:55:57 (Show Source): You can put this solution on YOUR website! Use to write: Then use "the sum of the logs is the log of the product": Then use "the difference of the logs is the log of the quotient" John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Money_Word_Problems/674692: I tried working this question, but I just dont get it. If$5000 is invested at an interest rate of 3% each year, find the amount of the investment at the end of 4 years for the following compounding methods. a) annual b) semiannual c) monthly d) daily1 solutions Answer 419379 by solver91311(16885)   on 2012-11-01 14:46:49 (Show Source): You can put this solution on YOUR website! Please share one thing you have tried. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/674691: I tried working this question, but I just dont get it. If $5000 is invested at an interest rate of 3% each year, find the amount of the investment at the end of 4 years for the following compounding methods. a) annual b) semiannual c) monthly d) daily1 solutions Answer 419378 by solver91311(16885) on 2012-11-01 14:46:10 (Show Source): You can put this solution on YOUR website! Why did you ask the same question twice? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Systems-of-equations/674693: How do you solve this? 4(8-2b)-26<_32 sign is less than or equal to1 solutions Answer 419377 by solver91311(16885) on 2012-11-01 14:45:07 (Show Source): You can put this solution on YOUR website! Add 26 to both sides. Distribute the 4 coefficient across the parentheses Add -32 to both sides Multiply both sides by . Don't forget to reverse the sense of the inequality when multiplying by a factor less than zero. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Money_Word_Problems/674688: What is the accumulated value of an investment of$10,000 for 5 years at an interest rate of 7% if the money is A.compounded semiannually B. compounded quarterly C. compounded Monthly D. compounded continuously 1 solutions Answer 419376 by solver91311(16885)   on 2012-11-01 14:40:41 (Show Source): You can put this solution on YOUR website! Where is the accumulated value, is the principal invested, is the interest rate expressed as a decimal, is the number of compounding periods in one year, and is the number of years. Just plug in the numbers and do the aritmetic. For continuous compounding: Where is the accumulated value, is the principal invested, is the interest rate expressed as a decimal, and is the number of years. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Triangles/674655: What is (1234872938475982081987239487594086265871623841-9587897502897450294875938745937459387459879384798572987348729387492873492739482783479)divided by 283947289379850 then multiply it's quotient? (This question is soooo hard!)1 solutions Answer 419366 by solver91311(16885)   on 2012-11-01 13:24:06 (Show Source): You can put this solution on YOUR website! This is an algebra site. We expect that you already know how to do arithmetic before you get here. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Matrices-and-determiminant/674657: I need a world problem from the medical field (like a doctor giving a patient medicine) that uses solving systems of 2 linear equations in 2 unknowns by determinants. please and thank you!1 solutions Answer 419365 by solver91311(16885)   on 2012-11-01 13:22:23 (Show Source): You can put this solution on YOUR website! Go ask a medical professional. Once you have the problem stated, come back here and get a mathematician to help you solve it. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-equations/674646: Find the slope of a line that passes through (-2,-3)and(1,1)1 solutions Answer 419364 by solver91311(16885)   on 2012-11-01 13:20:11 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Rational-functions/674660: BRIDGES In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation ,h= 9 - 1/50x^2, where h is the height in yards and x is the distance in yards from the center of the bridge. Graph this equation and describe, to the nearest yard, where the bridge touches the ground. 1 solutions Answer 419358 by solver91311(16885)   on 2012-11-01 12:58:21 (Show Source): You can put this solution on YOUR website! Why did you post the same problem twice? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Rational-functions/674659: BRIDGES In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation , where h is the height in yards and x is the distance in yards from the center of the bridge. Graph this equation and describe, to the nearest yard, where the bridge touches the ground. 1 solutions Answer 419357 by solver91311(16885)   on 2012-11-01 12:57:55 (Show Source): You can put this solution on YOUR website! Why did you post the same problem twice? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Radicals/674636: Simplify the following.Assume all variables represent nonnegative real numbers. 3 sqrt X-5 + sqrt X-51 solutions Answer 419356 by solver91311(16885)   on 2012-11-01 12:56:47 (Show Source): You can put this solution on YOUR website! Hint: 3 apples plus 1 apple is ? Right, 4 apples, so then 3 square roots of (x + 5) plus 1 square root of (x + 5) must be . . . John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Sequences-and-series/674615: Consider the sequence:6;6;2;-6;-18 Determine an expression for the nth term,Tn1 solutions Answer 419345 by solver91311(16885)   on 2012-11-01 11:56:26 (Show Source): You can put this solution on YOUR website! Use the method of common differences:  6 6 2 -6 -18 \ / \ / \ / \ / 0 -4 -8 -12 \ / \ / \ / -4 -4 -4  The differences become common at the 2nd level down, hence the desired model for the nth term is going to be a 2nd degree polynomial. The value of the term when n = 1 is 6, so: Which is to say: Using similar logic, we develop: and Solve the 3X3 system to find the values of the coefficients for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-equations/674617: 3x-3y=-2 into slope intercept form1 solutions Answer 419342 by solver91311(16885)   on 2012-11-01 11:16:09 (Show Source): You can put this solution on YOUR website! Add -3x to both sides. Multiply both sides by John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Equations/674616: Which of the following steps could be used to solve the equation 93 = x + 58? 1. Add 58 to both sides. 2. Subtract 58 from both sides. 3. Multiply both sides by 58. 4. Divide both sides by 58. thanks, have a great day. :)1 solutions Answer 419341 by solver91311(16885)   on 2012-11-01 11:14:43 (Show Source): You can put this solution on YOUR website! I wouldn't use any of the listed steps. I would add -58 to both sides. However, one of the listed steps is tantamount to the same thing. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Age_Word_Problems/674612: A 6 year old boy wants to ride an adult go-karts but is not tall enough. His sister is twice as old as he is and rides a lot. The little boy finally turns 12 and is now old enough to ride the adult go-karts. How old is his sister?1 solutions Answer 419340 by solver91311(16885)   on 2012-11-01 11:12:23 (Show Source): You can put this solution on YOUR website! When the boy is 6, the sister is twice as old, so she is 12. When the boy is 12 it is 6 years later, so the sister has to be 12 + 6 = 18. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 absolute-value/674441: Hi, tutors. I'm the stupidest person who has ever posted on this board.1 solutions Answer 419314 by solver91311(16885)   on 2012-11-01 02:10:38 (Show Source):
 Coordinate-system/674443: what best describes the triangle whose corners are located at the points (1,1),(2,2),and (0,16)?1 solutions Answer 419313 by solver91311(16885)   on 2012-11-01 02:08:54 (Show Source): You can put this solution on YOUR website! Scalene John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 �t�e�s�t/674459: if i have 74% average in class and i made a 62 on the functions test what would be grade right now?1 solutions Answer 419312 by solver91311(16885)   on 2012-11-01 02:06:59 (Show Source): You can put this solution on YOUR website! It depends. How many individual marks did you average to get the 74%? Take the number of test scores used to calculate your 74% average, call that . Presuming all tests have the same weight (count the same amount toward your grade, e.g. you didn't get a mid-term in there that is supposed to be 20% of your grade by itself, or some other such scheme), then multiply . Add 62. Divdide by John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-equations/674468: Solve for x, y, and z variables of this systems of equations problem: 3x + 2y + z = 7, 5x + 5y + 4z = 3, 3x + 2y + 3z = 1 Please show steps (I already asked this once, but my answer wasn't explained easily, very hard to understand)1 solutions Answer 419311 by solver91311(16885)   on 2012-11-01 01:59:56 (Show Source): You can put this solution on YOUR website! What method are you supposed to use? Substitution? Elimination? Gauss-Jordan? Cramer's Rule? What have you tried yourself? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/674542: Solve the rational equation. x/(x + 4) = 11/(x2 - 16) + 2 I know that the solution is x = -7, 3 but I am confused on what the steps are to get this answer. Can anyone help me so that I can understand this please? Thank you, Rachelle1 solutions Answer 419310 by solver91311(16885)   on 2012-11-01 01:55:05 (Show Source): You can put this solution on YOUR website! Note that is the difference of two squares, so the factorization is Hence Apply the LCD: A little algebra music, Sammy: You can fill in all the steps I left out. Multiply by Just solve the factorable quadratic. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 logarithm/674455: what is the exact log of log 6 base 2 mulitplied by log 8 base six? I'm confused b/c they both have different bases so I cant just add the eight and six 1 solutions Answer 419308 by solver91311(16885)   on 2012-11-01 01:36:51 (Show Source): You can put this solution on YOUR website! You need to convert so that the two logs are the same base. You can convert the base 2 log to base 6, or the base 6 log to base 2, or convert both to some other base -- in the end it won't matter because you will always get the same answer. Conversion formula: Let's convert the base 6 log to base 2. Now let's do the original multiplication: Which simplifies to: But wait! There's more! Now what would you pay? Oh, sorry, this isn't a Ginzu Knives infomercial, is it...but there is more for all that. Note that , so: But, remember: So But then: So John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Trigonometry-basics/674477: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) sin^2 θ = 5 − 2 cos^2 θ θ = thanks happy halloween1 solutions Answer 419304 by solver91311(16885)   on 2012-11-01 00:54:32 (Show Source): You can put this solution on YOUR website! Substitute for But the range of the cosine function is so NO SOLUTION. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 test/674479: If a line passes through (-1,4) and has a slope of -7, what is the equation of the line?1 solutions Answer 419301 by solver91311(16885)   on 2012-11-01 00:40:16 (Show Source): You can put this solution on YOUR website! Use the point-slope form of an equation of a line: where are the coordinates of the given point and is the given slope. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/674495: You are offered two jobs. One initially pays $25,000 annually, and your salary will grow annually at 10%. The other pays$22,000 annually, but your salary will grow at 12%. After 10 years, which job pays the higher salary? (Answer in discretely separate parts as in: a. Job 1, b. Job 2, c. Comparison)1 solutions Answer 419299 by solver91311(16885)   on 2012-11-01 00:35:27 (Show Source): You can put this solution on YOUR website! Salary 1: Salary 2: Comparison: Salary 1 - Salary 2. Positive? Salary 1 is better. Otherwise, Salary 2 is better. You can do your own arithmetic. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 test/674484: i need help solving this equation without using the quadratic formula: x^2-1/2x=1/31 solutions Answer 419296 by solver91311(16885)   on 2012-11-01 00:18:57 (Show Source): You can put this solution on YOUR website! The only way to do it, since it won't factor and you don't want to use the quadratic formula, is to complete the square. Divide the coefficient on by 2, then square the result: . Add to both sides. Factor the perfect square trinomial in the LHS and simplify the RHS. Take the square root of both sides: Add the additive inverse of the constant in the LHS to both sides: Now all you have to do is to rationalize the denominator and apply the LCD to combine the two fractions in the RHS. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-systems/674532: Select the best answer that satisfies the equation below and tell why |3m - 6| = 12 A. -6, 2 B. 9, -9 C. 6, -6 D. -2, 6 1 solutions Answer 419293 by solver91311(16885)   on 2012-10-31 23:49:29 (Show Source): You can put this solution on YOUR website! Use the definition of absolute value: and . Solve both equations. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Geometry_proofs/674511: How to do the staements and reasons if the given is a\\b, <2 =<3 and the prove is c//d ?1 solutions Answer 419292 by solver91311(16885)   on 2012-10-31 23:46:01 (Show Source): You can put this solution on YOUR website! Sure, we'll just get out the crystal ball and the Tarot cards, and maybe even the chicken bones so that we can divine the relationship of your angles and lines. Use your head for something besides a hatrack, please. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it