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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

Expressions-with-variables/181833: 2 OVER x = 2 is the numerator and x is the denomanator, I need to figure out what x is. I dont know how to slove a problem with a fraction like this. I have submited this problem before but couldnt understand the answer. So please show your work and please explain how you got the answer. And if you can could you please explain to me why the fraction is like that and what they are used for so I can better understand it in the future? Thank You 1 solutions Answer 136429 by josmiceli(9657)   on 2009-02-13 14:23:04 (Show Source): You can put this solution on YOUR website! 2 1/2 is a mixed number and has to be converted to a pure fraction 2 1/2 is actually , so what you have to answer is: "How many 1/2's are in 2? There are 4 1/2's in 2 because Now you have and So, now you have Remeber that is just a number and it's OK for it to be the numerator of a fraction. If you wanted to, you could represent it as , but it's OK the way it is Now multiply both sides of the equation by Now multiply both sides by Divide both sides by answer To prove the answer, just put this result back into the original equation Now you've got fractions in both numerator and denominator, but it's still OK MUltiply the left side only by , which is actully just Notice that the denominator is which is 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 graphing 1 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=0 1 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 answers 1 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 intercepts 1 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.T 1 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=-12 1 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 inches 1 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=-31/2 1 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^1/2 1 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

Travel_Word_Problems/181114: two military squads are 26 miles apart. they plan to rendezvous at some intermediate point. if one squad hikes 2/3 mph faster than the other, and they meet in 3 hrs, what is the rate of the faster squad? 1 solutions Answer 135791 by josmiceli(9657)   on 2009-02-09 17:00:40 (Show Source): You can put this solution on YOUR website! Let = the rate of the slower squad Let = the distance the slower squad travels in 3 hrs given: The rate of the faster squad is The distance the faster squad travels in 3 hrs is --------------------- For slower squad: (1) For faster squad: (2) Subtract (1) from (2) (2) (1) mi/hr The rate of the faster squad is mi/hr The faster squad's rate was 4.67 mi/hr check answer mi mi/hr OK

Radicals/181124: sqrt40a^3b^4 It asks that i right the expression in simplest radical form. since 40 and 3 has no sqrt i dnt no where to begin. Thanks for any help. 1 solutions Answer 135785 by josmiceli(9657)   on 2009-02-09 16:36:34 (Show Source): You can put this solution on YOUR website! Factor out everything under the square root sign that is a perfect square answer

Graphs/181052: What is the graph of f(x)= log5x ? 1 solutions Answer 135735 by josmiceli(9657)   on 2009-02-09 12:13:23 (Show Source): You can put this solution on YOUR website!

Equations/181058: Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 83, 75, and 91. What is the minimum score you need on the fourth test to get an B for the course? 1 solutions Answer 135711 by josmiceli(9657)   on 2009-02-09 10:12:24 (Show Source): You can put this solution on YOUR website! I'll call the points scored on the tests a, b, c, and d Points scored on a, b, and c are: The total possible points for the 4 tests are In order to average %, You must score 151 points out of 200 to get a B

Polynomials-and-rational-expressions/181059: I am homeschooled with the School of Tomorrow. I have no teacher, and am struggling with factoring trinomials, particularly coefficients greater than one and complex factoring. Right now I am trying to solve Please help me! 1 solutions Answer 135705 by josmiceli(9657)   on 2009-02-09 10:01:27 (Show Source): You can put this solution on YOUR website! To locate the roots, set the equation equal to Divide both sides by I often try to factor by trying combinations that will factor the outside terms and try to get the inside term, for instance: (3x + ?)(x + ?) I've got the 1st term factored, now for the 3rd (3x + 2)(x + 1) Does this work? not quite How about (3x + 1)(x + 2) ? that's it ---------------------- Some are not this neat, and you have to use the quadratic equation Use this when the form of the equation is Some are not this neat, and you have to use the quadratic equation and --------------- Multiply both sides by