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# Recent problems solved by 'solver91311'

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 Money_Word_Problems/361526: Find the present value of $30000 due 17 years later at 6.1%, compounded continuously.1 solutions Answer 257750 by solver91311(16885) on 2010-10-25 18:17:27 (Show Source): You can put this solution on YOUR website! Solve for Present Value: Just plug in the values and start punching your calculator. John My calculator said it, I believe it, that settles it  Graphs/361529: sketch the graph of 2x-3y<61 solutions Answer 257742 by solver91311(16885) on 2010-10-25 18:07:40 (Show Source): You can put this solution on YOUR website! Graph the line but graph it as a dashed line. Substitute the coordiates of the origin (0,0) into the original inequality. If the result is a true statement, shade in the half-plane that contains the origin. If the result is false, shade in the other side of the line. John My calculator said it, I believe it, that settles it  Equations/361520: The largest ranch in the world is in the Australia Outback. It is about 12,000 square miles, which is five times the size of the largest United States ranch. Write and solve an equation to find the size of the largest United States ranch. How do I come up with an equation and solve it to find the size of the largest United States ranch?? Please Help ME!!1 solutions Answer 257739 by solver91311(16885) on 2010-10-25 18:04:41 (Show Source): You can put this solution on YOUR website! Let represent the size of the US ranch. Then the size of the Australian ranch is . Thus: John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/361522: Translate into equations and solve. 1.Six more than nine times a number is the same as two less than ten times the number.What is the number? 2.A pro shop in a bolwing alley drops the price of bowling balls 24% to a sale price of$34.20.What was the former price? 3.An appliacne store drops the price of a certain type of tv 18% to a sale price of $410.What was the former price? -please show as much work as you can to help me understand what you are doing. -Thank you1 solutions Answer 257737 by solver91311(16885) on 2010-10-25 17:59:49 (Show Source): You can put this solution on YOUR website! Repost your request -- one question at a time per the rules of the site. John My calculator said it, I believe it, that settles it  Travel_Word_Problems/361495: Can you help with the following question? I think it needs to be laid out in table form first. I'd be grateful for detailed explanation. Thank you. Natalie spent$135 on new shorts and tops. The shorts were 15% off and the tops were 20% off. If she saved a total of $24, how much did she spend on tops?1 solutions Answer 257734 by solver91311(16885) on 2010-10-25 17:58:28 (Show Source): You can put this solution on YOUR website! Let represent the original cost of the shorts. Let represent the original cost of the tops. Then the amount saved on shorts would be and the amount saved on tops would be . Likewise, the amount spent on shorts would be and the amount spent on tops . So we can write: and Multiply the first equation by -4 and then add the equations: Solve for Substituting in Equation 1 and solving for Which was the cost of the tops at regular price, hence she spent: Sounds like a fire sale at Ross to me. John My calculator said it, I believe it, that settles it  Triangles/361494: The leg of a right triangle is 12 and the hypotenuse is 30 cm. What is the length of the other leg?1 solutions Answer 257725 by solver91311(16885) on 2010-10-25 17:28:53 (Show Source): You can put this solution on YOUR website! Remember Mr. Pythagoras who said that for a right triangle with legs and , the measures of the legs and the hypotenuse ( ) are related thus: For your situation, since you know one leg and the hypotenuse: Just plug in your numbers and do the arithmetic. John My calculator said it, I believe it, that settles it  Graphs/361484: When solving for slope (y2-y1)/(x2-x1), the answer is 10/0. How is this expressed?1 solutions Answer 257724 by solver91311(16885) on 2010-10-25 17:24:50 (Show Source): You can put this solution on YOUR website! Anything with a zero denominator is undefined. Therefore the slope is undefined. (You have a vertical line) John My calculator said it, I believe it, that settles it  Travel_Word_Problems/361489: Two trains are on the same track heading straight for each other. One train is traveling at 60 miles per hour while the other train is traveling at 45 miles per hour. If the trains are notified two minutes before they collide, they can avoid the accident. How far apart will the trains be two minutes before the point of impact? 1 solutions Answer 257723 by solver91311(16885) on 2010-10-25 17:22:47 (Show Source): You can put this solution on YOUR website! Hint: How far can you travel in 2 minutes at 105 miles per hour? Hint #2: 105 miles per hour is miles per minute. John My calculator said it, I believe it, that settles it  Percentage-and-ratio-word-problems/361488: Samuel had 48 marbles. He lost thirty-seven and a half of them. How many marbles had he left?1 solutions Answer 257722 by solver91311(16885) on 2010-10-25 17:17:03 (Show Source): You can put this solution on YOUR website! The person that wrote this question has lost all of his/her marbles. How would you lose half of a marble? John My calculator said it, I believe it, that settles it  Rational-functions/361475: How can I find out if f(x)=6x+2 and g(x)=x-1/3 are inverse functions? 1 solutions Answer 257721 by solver91311(16885) on 2010-10-25 17:14:34 (Show Source): You can put this solution on YOUR website! Start with Replace with Solve for in terms of Exchange positions of and Replace with Note that is not equivalent to . Therefore is not the inverse of John My calculator said it, I believe it, that settles it  Probability-and-statistics/361454: PLEASE HELP!!!! In the U.S, 40% of the population have brown eyes. If 14 people are randomly selected, find the probability that at least 12 of them have brown eyes. Show your work. 1 solutions Answer 257719 by solver91311(16885) on 2010-10-25 16:49:14 (Show Source): You can put this solution on YOUR website! You want the probability of at least 12 successes out of 14 trials where the probability of success on one trial is 0.4. The probability of exactly successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by To get the probability of "at least" some number of successes, then you need to sum the probability of that number of successes plus "that number plus 1" successes plus "that number plus 2" successes...up to the total number of trials : Which expands to: You have some calculator button punching to do. John My calculator said it, I believe it, that settles it  Trigonometry-basics/361448: find all the angles x between 0 degrees and 360 such that 5 sin x=21 solutions Answer 257715 by solver91311(16885) on 2010-10-25 16:35:36 (Show Source): You can put this solution on YOUR website! in QI and QII, hence: Or John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/361444: The first number is two more than the second number. When I add two times the first number to five times the second I get 251 solutions Answer 257713 by solver91311(16885) on 2010-10-25 16:27:50 (Show Source): You can put this solution on YOUR website! Let represent the first number. Then must represent the second number. Then we are given: Solve for . John My calculator said it, I believe it, that settles it  Linear-equations/361443: find the slope if it exists of the line containing the pair of points (1,5) and (3,-6)1 solutions Answer 257710 by solver91311(16885) on 2010-10-25 16:22:01 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. Note that the slope exists as long as the denominator is not zero. The only way for the denominator to be zero is if the -coordinates of the two points are equal. John My calculator said it, I believe it, that settles it  Rational-functions/361318: What is point-slope form of an equation of the line through the points (–3, 8) and (7, 6). Use (–3, 8) as the point for the equation.1 solutions Answer 257669 by solver91311(16885) on 2010-10-25 13:37:33 (Show Source): You can put this solution on YOUR website! Use the two-point form of an equation of a line to derive an equation for the desired line: where and are the coordinates of the given points. Once you have made the appropriate substitutions and done the indicated arithmetic, rearrange your equation into slope-intercept () form by solving for John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/360202: I am having trouble with my MAT 117 Appendix C. This is what I have so far. Could someone let me know if I am correct. 1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research). a. Suppose that a market research company finds that at a price of p =$40, they would sell x = 22 tiles each month. If they lower the price to p = $20, then more people would purchase the tile, and they can expect to sell x = 32 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). Slope=rise/run =(22,40),(32,20) =m=y2-y1 x2-x1 =m=20-40 = -20 =-2 32-22 10 P-p1=m(x-x1) P-40=-2(x-22) P-40=-2x+22 P=-2x+62 A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p. b. Substitute the result you found from part a into the equation R = xp to find the revenue equation. Provide your answer in simplified form. R=-x(2x+62) R=-2x2 +62x The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is$200, and the supplier’s cost for a set of tile is $34 each. Let x represent the number of tile sets. c. If b represents a fixed cost, what value would represent b? The fixed costs are$200. d. Find the cost equation for the tile. Write your answer in the form C = mx + b. C=34x+200 The profit made from the sale of tiles is found by subtracting the costs from the revenue. e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation. P=-2x2+62x-(34x+200) P=-2x2+62x-34x-200 P=-2x2 +28x-200 f. What is the profit made from selling 10 tile sets per month? P=-2x2 +28x-200 P=-2(10)2 +28(10)-200 P=480 g. What is the profit made from selling 12 tile sets each month? P=-2x2+28x-200 P=-2(12)2 +28(12)-200 P=712 h. What is the profit made from selling no tile sets each month? Interpret your answer. Plug in 0; P=x2+28x-200 P=02+28(0)-200 P=-200 These are the fixed costs that have to be paid regardless of sales. i. Use trial and error to find the quantity of tile sets per month that yields the highest profit. P=-2x2 +28x-200 P=-2(12)2+28(12)-200 P=712 They should sell 12 to make the most profit. j. How much profit would you earn from the number you found in part i? The profit is $712 when they sell 12. k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)? Remember the demand function: P=-2x+62 P=--2(12)+62 P=$38 2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values. P=-2x2+28x-200 0=-2x2+28x-200 0=-2(0)2 +28(0)-200 P=-200 3. In 2004, Home Depot’s sales amounted to$73,100,000,000. In 2006, its sales were $90,800,000,000. a. Write Home Depot’s 2004 sales and 2006 sales in scientific notation. You can find the percent of growth in Home Depot’s sales from 2004 to 2006, follow these steps: • Find the increase in sales from 2004 to 2006. • Find what percent that increase is of the 2004 sales. b. What was the percent growth in Home Depot’s sales from 2004 to 2006? Do all your work by using scientific notation. (source: Home Depot Annual Report for FY 2006: http://www6.homedepot.com/annualreport/index.html) 4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 18 feet across and 6 feet tall (see figure). How long should the pieces of PVC plumbing pipe be? Round your answer to the nearest hundredth. 1 solutions Answer 257014 by solver91311(16885) on 2010-10-22 15:36:48 (Show Source): You can put this solution on YOUR website! Sorry, pal...one problem per post. a. Suppose that a market research company finds that at a price of p =$40, they would sell x = 22 tiles each month. If they lower the price to p = $20, then more people would purchase the tile, and they can expect to sell x = 32 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). Slope=rise/run =(22,40),(32,20) So far, so good, but then you wrote: No! No! No! Use the distributive property: Then Post your other problems separately. John My calculator said it, I believe it, that settles it  Angles/360205: hi, um i am having trouble trying to figure out how to set a problem up on my homework. it is a worksheet on finding measure hidden in transversals. 1 solutions Answer 257012 by solver91311(16885) on 2010-10-22 15:27:22 (Show Source): You can put this solution on YOUR website! Write out the problem, including a total unambiguous description of your diagram, and someone will be able to help you. Other than that, we can't guess what you want. John My calculator said it, I believe it, that settles it  percentage/360207: can i get help to study for asvab ?1 solutions Answer 257011 by solver91311(16885) on 2010-10-22 15:25:16 (Show Source): You can put this solution on YOUR website! Not here. You can buy ASVAB study guides at places like Borders or Barnes & Noble, or on line at Amazon.com, etc. Not that they will help a whole lot. The time to begin studying for your ASVAB or any other examination like it is your first year of elementary school. I suspect you have let that deadline come and go. Good luck. John My calculator said it, I believe it, that settles it  Linear_Algebra/360199: For each line use the given conditions to write an equation in the point-slope form first and then rearrange the values into the slope-intercept form. l. Slope=4, passing through(1,3) ll. Slope= 8, passing through (4,-1) lll. Slope= -5 passing through(-4,-2) lv. Slope= -2, passing through (0,-3)1 solutions Answer 257010 by solver91311(16885) on 2010-10-22 15:19:52 (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. Once you have made the appropriate substitution of values and done the indicated arithmetic, rearrange the equation to be in slope-intercept form, namely: John My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/360198: I think I have the answer to this but not sure how to write it out. Ace Hardware sells boxes of wrenches ($100) and hammers ($300). Howard ordered 40 boxes of wrenches and hammers for$8,400. How many boxes of each are in the order? I came up with 22 boxes of hammers and 18 boxes of wrenches. But have no idea how to show the work. Thank you! Also is there a way on this site to type in a question and see if someone else may have asked the same question? 1 solutions Answer 257009 by solver91311(16885)   on 2010-10-22 15:01:56 (Show Source): You can put this solution on YOUR website! Let represent the number of boxes of wrenches. Then, since there are a total of 40 boxes of tools, the number of boxes of hammers has to be . Do yourself a favor and simplify your arithmetic: Solve for and then compute And the answer to your other question is yes. Go to the Algebra.com home page. Then use the little Google Search box and search for some key words in your problem. You will have to do a little digging, but you will get there. The probability that your problem (or one so close to it that the difference is barely noticable) has NOT been done already is miniscule. We've seen them all (or very nearly so). John My calculator said it, I believe it, that settles it