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2233CE2

# 2233CE2 - 4 The amount of an investment of P dollars with 3...

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Year Per Capita Health Expenditures 1970 349 1972 428 1974 521 1976 665 1978 822 1980 1054 1982 1348 YEAR ‘77 ‘78 ‘79 ‘80 ‘81 ‘82 ‘83 ‘84 ‘85 ‘86 ‘87 ‘88 ‘89 ‘90 ‘91 ‘92 ‘93 ‘94 PERCENTAGE 16.6 17.9 19.4 22.6 28.3 35.0 40.5 43.7 46.2 48.1 50.5 53.8 57.1 59.0 60.6 61.5 62.5 63.4 Section 1.3 (cont.) 2) The strength in any signal in a fiber optic cable, such as the type used for telephone and cable TV lines, diminishes 15% for every 10 miles. a) Find a model for the strength of a signal remaining after any number of miles. b) How much of the signal is left after 100 miles? c) How far does a signal go until its strength is down to 1% of the original level? 3) Total per capita health expenditures in the United States for the years 1970 to 1982 are given in the table. a) Check to see if the increase is approximately exponential. b) Find an exponential model for the data. c) According to the model, what was the yearly percentage change in expenditures?
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Unformatted text preview: 4) The amount of an investment of P dollars with 3% interest compounded continuously is modeled by the equation dollars t years after the initial investment. How long will it take this A t Pe t ( ) . = 0 03 investment to triple? Section 1.4 1) A company that makes satellite dishes for TV’s has asked you to analyze the market. Their biggest competitors are the cable companies. The table shows the percentage of U.S. households with cable (Source: Neilson Media Research). Find a model for this data. 2) Tell whether the function is an increasing or decreasing logistic function. Also identify the limiting value of the function and the two horizontal asymptotes. p x e x ( ) . . . = + − 13667 1 2 34 0 583 Section 1.5 1) Identify the curve as concave up or concave down. Indicate the portion of the horizontal axis over which the part of the curve shown is increasing or decreasing....
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