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m66841A supplier of school kits has determined that the combined fixed and variable expenses to market and sell G kits is W. a. What expression models the price of a school kit at the breakeven point? b. Suppose a new marketing manager joined the company and determined that the combined fixed and variable expenses would only be 80% of the cost if the supplier sold twice as many kits. Write an expression for the price of a kit at the breakeven point using the new marketing manager s business model. buy
m66869A surveyor places poles at points A, B, and C in order to measure the distance across a pond. The distances AC and BC are measured as shown. Find the distance AB across the pond. buy
m66870A taxpayer who pays 22% in taxes each year has these two accounts. Account 1: $10,000 is placed in a tax-deferred account that pays 5% interest compounded annually for 25 years. Account 2: $10,000 is placed in a taxable account that pays 5% interest compounded annually for 25 years. a. How much is in Account 1 after the 25-year period? b. Since the taxpayer pays 22% of all income in taxes, 22% of the interest he makes each year will go towards taxes. Therefore, his annual interest rate in actuality is 22% less than the 5% quoted rate. What is his real annual interest rate? c. How much will he actually have made after the 25-year period in Account 2 if taxes are taken into consideration? buy
m66875a) The diameter of a circle connects the points (- 6, 5) and (- 2, 1) on the circle. Find the coordinates of the center of the circle and length of the radius. Solve. b) 2y - 3 ( 1 - y + 5 c) (x - 2) (x + 5) > x(x - 3). buy
m66886A train leaves Union Station for Central Station, 216 km away, at 9 A.M. One hour later, a train leaves Central Station for Union Station. They meet at noon. If the second train had started at 9 A.M. and the first train at 10:30 A.M., they would still have met at noon. Find the speed of each train. buy
m66887A treadmill is 5 ft long and is set at an 8% grade. How high is the end of the treadmill? buy
m66895A university invests $600,000 at simple interest, part at 6%, half that amount at 4.5%, and the rest at 3.5%. What is the most that the university can invest at 3.5% and be guaranteed $24,600 in interest per year? buy
m66897A U.S. postal zip code is a five-digit number. a) How many zip codes are possible if any of the digits 0 to 9 can be used? b) If each post office has its own zip code, how many possible post offices can there be? buy
m66899(a) Use a graphing calculator to fit a regression line to the data in Exercise 61. (b) Estimate the number of Internet users worldwide in 2013 and compare the value with the result found in Exercise 61. In Exercise 61 Year, x Number of Internet Users Worldwide, y (in millions) 2001, 0 ............................................... 495 2002, 1 ............................................... 677 2003, 2 ............................................... 785 2004, 3 ............................................... 914 2005, 4 ............................................... 1036 2006, 5 ............................................... 1159 2007, 6 ............................................... 1393 2008, 7 ............................................... 1611 2009, 8 ............................................... 1858 2010, 9 ............................................... 2084* (c) Find the correlation coefficient for the regression line and determine whether the line fits the data closely. buy
m66900(a) Use a graphing calculator to fit a regression line to the data in Exercise 62. In Exercise 62 Year, x Percentage of Deaths Followed by Cremation, y 2005, 0 .............................................. 32.3% 2006, 1 ........................................ 33.6 2007, 3 ........................................ 34.3 2008, 4 ........................................ 35.8 2009, 4 ........................................ 36.9 (b) Estimate the percentage of deaths followed by cremation in 2013 and compares the result with the estimate found with the model in Exercise 62. (c) Find the correlation coefficient for the regression line and determine whether the line fits the data closely. buy
m66901(a) Use a graphing calculator to fit a regression line to the data in Exercise 63. In Exercise 63 Year, x Total U.S. Expenditures On pets (in billions) 1991, 0 ............................................... $19.6 1994, 3 ........................................... 24.9 1997, 6 ........................................... 32.5 2000, 9 .......................................... 39.7 2003, 12 .......................................... 46.8 2006, 15 .......................................... 56.9 2009, 18 .......................................... 67.1 (b) Estimate total U.S. expenditures on pets in 2015 and compare the value with the result found in Exercise 63. (c) Find the correlation coefficient for the regression line and determine whether the line fits the data closely. buy
m66902(a) Use a graphing calculator to fit a regression line to the data in Exercise 66. In Exercise 66 Year, x Credit-Card Debt Per Household, y 1992, 0 .............................................. $ 3,803 1996, 0 ........................................ 6,912 2000, 8 ........................................ 8,308 2004, 12 ........................................ 9,577 2008, 16 ........................................ 10,691 2011, 19 ........................................ 14,750 (b) Estimate average credit-card debt per U.S. house hold in 2014 and compare the result with the estimate found with the model in Exercise 66. (c) Find the correlation coefficient for the regression line and determine whether the line fits the data closely. buy
m66903a) Use a graphing calculator to graph f (x) = 5e-x ln x in the viewing window [-1, 10, -5, 5]. b) Estimate the relative maximum and minimum values of the function. buy
m66914A volcano that is currently about one-half mile below the surface of the Pacific Ocean near the Big Island of Hawaii will eventually become a new Hawaiian island, Loihi. The volcano will break the surface of the ocean in about 50,000 years. On average, how many inches does the volcano rise in a year? buy
m66915A water balloon is dropped from a cliff. Exactly 3 sec later, the sound of the balloon hitting the ground reaches the top of the cliff. How high is the cliff? buy
m66926A wholesale garden center estimates that it will sell N units of a basket of three potted amaryllises after spending a dollar on advertising, where N(a) = - a2 + 300a + 6, ≤ a ≤ 300, and a is measured in thousands dollars. (a) Graph the function using a graphing calculator. (b) Use the MAXIMUM feature to find the relative maximum. (c) For what advertising expenditure will the greatest number of baskets be sold? How many baskets will be sold for that amount? buy
m66930(a) x - 5 = 7 (b) y + 3 = 4 (c) 3x + 4 = - 8 buy
m66933Abe makes $18.50 per hour. He works 37 hours a week. He pays 23% of his gross earnings in federal and state taxes and saves 5% of his monthly gross income. He is considering renting an apartment that will cost $1,500 per month. a. Is this monthly rental fee within the recommended 25% - 30% housing expense range? b. Based upon his expenses, can he make the monthly payment? buy
m66934About 250,000 Amish live in the United States. Of that number, 73,950 live in Wisconsin and Ohio. The number of Amish in Ohio is 12,510 more than three times the number in Wisconsin. (Source: Young Center for Anabaptist & Pietist Studies, Elizabethtown College) How many Amish live in each state? buy
m66974According to the tax schedule, Rich has to pay $25,000 in taxes. What is Rich s taxable income? buy
 
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