ltepopulation of Tallahassee was about 347,000.32. Population The populations P (in thousands) of(a) Find the value of k. Is the population increasing ormodeled by P = 319.2ekt, where t represents theTallahassee, Florida, from 2005 through 2010 can bewill receive after 24 months.Tallahassee, Florida, from 2005 through 2010 canwith t = 5 corresponding to 2005. In 2006 sheyear,(Source: U.S. Census Bureau)(a) Find the value of k. Is the population increasingdecreasing? Explain.(b) Use the model to predict the populations ofTallahassee in 2015 and 2020. Are the resultsreasonable? Explain.or(c) According to the model, during what year will thepopulation reach 410,000?3. Bacteria Growth

Answered: (a) Find the value of k. Is the…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 32E

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Clearance A department store is clearing out merchandise in order to make room for new inventory. The plan is to mark down items by 30% each week. This means that each week the cost of an item is 70% of the previous week’s cost. If the original cost of a sofa was $1,000, the cost for the first week would be $1000(0.70) and the cost of the item during the second week would be $1,000(0.70)2. Complete the table shown below. What will be the cost of the sofa during the fifth week? Simplify the expression, to show the cost in dollars.
Paying Off a Credit Card Suppose you owe 15, 000 on a credit card that carries an APR of 24. Because the balance is so high, you choose to stop charging and pay off the card. You can afford to make only the minimum monthly payment, which is 5 of the balance. Then your balance after t months is given by B=15,000(1.020.95)tdollars. How many payments will you have to make to get the balance below 100?
An Uncertain Investment Suppose you invested 1300 in the stock market two years ago. During the first year the value of the stock increased by 12%. During the second year, the value of the stock decreased by 12%. How much money is your investment worth at the end of the two-year period? Did you earn money or lose money? Note: The answer to the first question is not 1300
Decomposing Functions To join a book club, you pay an initial fee and then a fixed price each month for a book. The total cost in dollars of joining the club and buying n books is given by C=30+17n. What is the initial fee? What is the cost of each book after you are a club member?
Aerobic Power Aerobic power can be thought of as the maximum oxygen consumption attainable per kilogram of body mass. There are a number of ways in which physical educators estimate this. One method uses the Queens College Step Test. In this test, males step up and down a 16-inch bleacher step 24 times per minute for 3 minutes, and females do 22 steps per minute for 3 minutes. Five seconds after the exercise is complete, a 15-second pulse count P is taken. Maximum oxygen consumption M, in milliliters per kilogram, for males is approximated by M=111.3-1.68P. For females, the recommended formula is F=65.81-0.74P. a. Calculate the maximum oxygen consumption for both a male and a female who show a 15-second pulse count of 40. b. What 15-second pulse count for a male will indicate a maximum oxygen consumption of 35.7 milliliters per kilogram? c. What 15-second pulse count will indicate the same maximum oxygen consumption for a male as for a female? d. What maximum oxygen consumption is associated with your answer in part c?

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