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# Recent problems solved by 'josmiceli'

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 Percentage-and-ratio-word-problems/182220: carmelo puts 2,200.00 into a savings bonds that pay interest rate of 3.4%. how much money will the bonds be worth at the end of 5.5 years.1 solutions Answer 136743 by josmiceli(9657)   on 2009-02-16 15:52:06 (Show Source): You can put this solution on YOUR website!The formula for simple interest is where = Interest earned = Principle = annual rate = time in years given: This isn't the answer. The problem wants to know what the bonds are worth after years, and that would be Interest earned + Principle The bonds will be worth \$2,611.40 in 5.5 years
 Permutations/181936: This question is from textbook What is the probability of a seven-digit (7) phone number containing the number seven (7)?1 solutions Answer 136564 by josmiceli(9657)   on 2009-02-14 16:47:10 (Show Source): You can put this solution on YOUR website!When you want the probability of a OR b OR c ...etc, you musrt add the probabilities of each event occurring separately The 1st digit can be 1-9 (0 is not allowed) The probability of it being a is The rest of the digits can be 0-9, so their probability is The proibability of 1 number being a is then: answer
 Graphs/181932: Plot the graphs of the following functions. f(x) = 5x f(x) = 4x+2 f(x) = (1/3)x f(x) = log5x How do I get the solutions for each of these functions?1 solutions Answer 136562 by josmiceli(9657)   on 2009-02-14 16:34:18 (Show Source): You can put this solution on YOUR website!You are using the word solution incorrectly. Each of the equations has 2 variables, and . There is no way to "solve" 1 equation with 2 variables. For a solution to be possible, the number of variables has to equal the number of equations. You can, however, plot all of these equations. A plot doesn't give you a solution, unless you're looking for a special point, like a root, or an intercept. --------------------
 Trigonometry-basics/181754: Solve the equation for the interval [0,2л): (sin2x+cos2x)²=1 PLEASE HELP ME!!!!!1 solutions Answer 136516 by josmiceli(9657)   on 2009-02-14 06:23:59 (Show Source): You can put this solution on YOUR website! First, you need whatever is in the parentheses to be either or , since and If I chart the equation ----------------------- x --- 2x --- (sin2x + cos2x) ----------------------------- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- ------------------------------ It looks like there are values of that solve the equation Another way to write the solution is: for = to
 Quadratic_Equations/181847: Method of Substitution 5. Find the point of intersection of each pair of lines. a) 2x=y+5 3x+y=-9 Pleaseeeeeeee and thank you very much!!!!!1 solutions Answer 136465 by josmiceli(9657)   on 2009-02-13 17:14:54 (Show Source): You can put this solution on YOUR website!the intersection is the point (x,y) that solves both equations (a) (b) Subtract from both sides of (a) (b) (a) Add (a) and (b) Now plug this value of back into either (a) or (b) (a) The intersection is at and check answer: (b) (b) OK (a) OK
 Quadratic-relations-and-conic-sections/181827: Find an equation of the ellipse with x-intercepts +/- 3 and y-intercepts +/- sqrt3 THANKS!1 solutions Answer 136426 by josmiceli(9657)   on 2009-02-13 14:03:37 (Show Source): You can put this solution on YOUR website!The x-axis is the major axis since The general form is: Where the x-intercepts are at +/- and the y-intercepts are at +/- given: x-intercepts +/- y-intercepts +/- and and The equation is:
 Rational-functions/181672: This question is from textbook Algebra 2 Solve each equation by graphing. If exact roots cannot be found, state the consecutive intergers between which the roots are located. I started the problem off but im not quite sure if its right, please help on this problem x^2-2x=0 x=2 y=0 & im having trouble with graphing1 solutions Answer 136294 by josmiceli(9657)   on 2009-02-12 16:09:56 (Show Source): You can put this solution on YOUR website! The roots are at (1) and (2) One way you can show this is: subtract from both sides of (1) subtract from both sides of (2) If they both equal , the product is
 Rational-functions/181674: This question is from textbook Algebra 2 solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. 6. -2x^2+10x-5=01 solutions Answer 136292 by josmiceli(9657)   on 2009-02-12 16:00:32 (Show Source): You can put this solution on YOUR website! One of the roots is between 0 and 1 The other root is between 4 and 5
 Travel_Word_Problems/181624: Helen took the bus on her way to school and ran the rest of the way. She ran 3 mins. longer than she rode. If it took her 15 mins. to arrive in school, how long was her bus ride? Thank YOU!!1 solutions Answer 136263 by josmiceli(9657)   on 2009-02-12 10:28:34 (Show Source): You can put this solution on YOUR website!Let = time spent on bus Let = time spent running given: (1) (2) Substitute in (2) for in (1) The bus ride was 6 min check answer: (1) (2) OK
 Quadratic_Equations/181636: 6x^2-5x+1=0 answer:x=1/3 or 1/2 need a full break down of how my book got those fractions as answers1 solutions Answer 136261 by josmiceli(9657)   on 2009-02-12 10:18:51 (Show Source): You can put this solution on YOUR website! You can work backwards to get the equation from the roots, which are: (1) (2) Subtract from both sides of (1), and Subtract from both sides of (2) (1) (2) Now multiply both sides of (1) by , and multiply both sides of (2) by (1) (2) The product of (1) and (2) will be also ----------------------- Also, each of the roots will solve the equation Multiply both sides by And, also Multiply both sides by OK
 Functions/181630: The altitude in feet of a toy rocket t seconds after launch is given by the function S(t) = -16t^2 + 128t. What is the maximum altitude reached by the rocket? How long does it take for the rocket to reach this maximum altitude?1 solutions Answer 136258 by josmiceli(9657)   on 2009-02-12 10:02:40 (Show Source): You can put this solution on YOUR website! With a parabola, the maximum or minimum occurs wher when the general formula is sec In 4 sec the rocket will reach it's maximum altitude ft The maximum altitude is 384 ft
 Polynomials-and-rational-expressions/181596: This question is from textbook algebra structure & method book1 Kyle spent \$4.95 to buy 15 stamps in .25 and.40 denominations. How many of each kind of stamp did he buy?1 solutions Answer 136213 by josmiceli(9657)   on 2009-02-11 22:14:03 (Show Source): You can put this solution on YOUR website!= number of .25 stamps = number of .40 stamps given: (1) (2) Multiply both sides of (1) by and subtract (2) from (1) (1) (2) and, since (1) He bought .25 stamps and .40 stamps check: (2) (2) OK
 Linear_Algebra/181609: 5x+y=10 Find the intercepts1 solutions Answer 136212 by josmiceli(9657)   on 2009-02-11 22:01:23 (Show Source): You can put this solution on YOUR website!The x-intercept occurs where y = 0 The y-intercept occurs where x = 0 x-intercept --------------- y-intercept
 real-numbers/181564: This question is from textbook introductory algebra The name of this book is "Introductory Algebra" By Keedy/Bittinger.6th edition. The page number is 102 problem #37. I am homeschooling my daughter and am having some trouble solving this problem. Thanks for any help you might can offer. 3{[7(x-2)+4]-[2(2x-5)+6]} If you could please help to solve this and also explain what the different parentheses mean.. thank you so much J.T1 solutions Answer 136168 by josmiceli(9657)   on 2009-02-11 18:32:59 (Show Source): You can put this solution on YOUR website!Where you have parentheses in an expression, you can always work from the inside out. It doesn't really matter what the parentheses look like, but they must come in pairs ( ) The parenthsis after the is paired with the one that's all the way at the end The subtraction performed by the minus sign in the middle is: Starting in the inside, work on these expressions first Now put this back where it came from answer
 Triangles/181568: The perimeter of a right triangle is 18. If the hypotenuse is 8, how many square units are in the area of the triangle? I know the formula for the area and the perimeter but don't know how to solve for this question with only knowing the hypotenuse.1 solutions Answer 136162 by josmiceli(9657)   on 2009-02-11 18:04:28 (Show Source): You can put this solution on YOUR website!Call the legs and and the hypotenuse given: so, Now I can say the sides are , , and The pythagorean theorem is and These 2 values for turn out to be the legs of the right triangle, since and The area is: answer
 Miscellaneous_Word_Problems/181550: This question is from textbook McGraw Hill MATH Daily Practice Workbook Grade 5 There are 86 students in the school band and the school orchestra. There are 62 students in the band and 46 students in the orchestra. Some students play in both the band and the orchestra. How many students play in both the band and the orchestra?1 solutions Answer 136156 by josmiceli(9657)   on 2009-02-11 17:02:45 (Show Source): You can put this solution on YOUR website!There are 86 students in the school band and the school orchestra. These 86 students include some who play both in the band and the orchestra. given: play in the band play in the orchestra students who play in both answer
 Polynomials-and-rational-expressions/181552: A certain highway is straight and makes a steep descent toward the city. The highway has a 6% grade, which means that its slope is -6/100. Driving on the road, you notice from elevation signs that you have descended a distance of d = 500 ft. What is the change in your horizontal distance? (Round your answer to the nearest whole number.) i dont understand how to set this up and solve it!1 solutions Answer 136154 by josmiceli(9657)   on 2009-02-11 16:49:11 (Show Source): You can put this solution on YOUR website!The definition of slope is slope = rise/run. Another definition is slope = (change in vertical distance) / (change in horizontal distance) The slope is given by the problem as The problem also gives you (change in vertical distance) which is ft The formula for slope is This formula is used when 2 points are given and the slope is unknown I can use this formula because is given, and is given, and is the unknown Multiply both sides by Multiply both sides by answer
 Linear-systems/181453: This question is from textbook Algebra and trigonometry as written : find a value of p that will result in one solution for this system.find this solution! 3x+y=-2 px-y=-121 solutions Answer 136068 by josmiceli(9657)   on 2009-02-11 00:51:01 (Show Source): You can put this solution on YOUR website! The equations will have the same solution for if ----------------- and answer
 Percentage-and-ratio-word-problems/181455: Valerie's monthly electric bill last year was \$125. This year, her monthly electric bill is \$150. What is the percent of increase from last year to this year?1 solutions Answer 136067 by josmiceli(9657)   on 2009-02-11 00:39:19 (Show Source): You can put this solution on YOUR website!The increase is The percent increase is: %
 Miscellaneous_Word_Problems/181456: A grocer sells potatoes in 4pound bags and 3 pound bags. He sold 594 bags of potatoes on Thursday.. He sold the same number of 4 pound bags as he did 3 pound bags. How many of each did he sell ?1 solutions Answer 136066 by josmiceli(9657)   on 2009-02-11 00:36:29 (Show Source): You can put this solution on YOUR website! He sold 297 of each
 Miscellaneous_Word_Problems/181457: The state of Nevada has an area of 286,367 square kilometers. In 2005, Nevada had an estimated population of 2,414,807 people. Approximately how many people per square kilometer is this?1 solutions Answer 136065 by josmiceli(9657)   on 2009-02-11 00:34:03 (Show Source): You can put this solution on YOUR website! people/km2 , or about 8 people/km2
 Proportions/181454: This question is from textbook i do not understand scales for pre algebra here is my question: Actual size:30ft drawing size: 6 inches1 solutions Answer 136064 by josmiceli(9657)   on 2009-02-11 00:29:57 (Show Source): You can put this solution on YOUR website!6 in on a map represents 30 ft on the ground It's like you got into a helicopter and climbed higher and higher until something on the ground that was 30 ft long looked 6 in long If you got even higher, it might look 1/2 in long All the scale is saying is: How does 6 in compare with 30 ft? How many inches are in 30 ft? 30 ft x 12 in/ft = 360 in The scale is 6 in / 360 in, or 1 in / 60 in Note that feet and inches are like apples and oranges. You can't compare them directly
 Linear-systems/181450: This question is from textbook Algebra & trigonometry blitzer as written on my homework = solve the system : 4x-7/2y=-18 7/2x-3y=-31/21 solutions Answer 136062 by josmiceli(9657)   on 2009-02-10 23:48:00 (Show Source): You can put this solution on YOUR website!(1) (2) Multiply both sides of (2) by (2) (2) Subtract (1) from (2) (2) (1) Plug this back into (1) (1) (1) The solutions are and
 Systems-of-equations/181451: Lorena bought 10 packs of styrofoam cups for the graduation dance. a pack of fifty 12-oz cups costs \$1.80 and apack of fifty 16-oz cups costs \$2.40. Lorena paid a total of \$21.60 excluding tax. How many packs of each size cup did she buy?1 solutions Answer 136060 by josmiceli(9657)   on 2009-02-10 23:31:07 (Show Source): You can put this solution on YOUR website!Let = the number of packs of 12 oz cups she bought Let = the number of packs of 16 oz cups she bought given: (1) (2) Multiply both sides of (1) by 180 and subtract from (2) (2) (1) and, since (1) She bought 4 packs of 12 oz cups and 6 packs of 16 oz cups check answer: (2) (2) OK
 Equations/181245: x^-1/3x^3/4 over x^1/4= here are my choices: 1, x^1/6, x^1/2, or 1/x^1/21 solutions Answer 135904 by josmiceli(9657)   on 2009-02-10 03:24:08 (Show Source): You can put this solution on YOUR website! Following the general rule, , answer