Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Textbook Question

Chapter 9.7, Problem 45E

Per capita expenditures for U.S. health care The following table shows the amount spent per person for health care in the United States for selected years from 2002 and projected to 2024. These data can be modeled by

y = 4.6 ( x + 10 ) 2 − 49 ( x + 10 ) + 1600 0.0026 x + 0.28 where x is the number of years after 2000 and y is per capita expenditures for health care.

(a) Find the instantaneous rate of change of per capita health care expenditures (to the nearest dollar) for 2010 and 2020.

(b) Interpret the rate of change for 2020 found in part (a).

(c) Use the data to find the average rate of change from 2018 to 2020. How well does this approximate the rate of change in 2020?

Year	$ per Person	Year	$ per Person
2002	5563	2014	9695
2004	6331	2016	10,527
2006	7091	2018	11,499
2008	7944	2020	12,741
2010	8428	2022	14,129
2012	8996	2024	15,618

Source: U.S. Centers for Medicare and Medicaid Services

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Chapter 9.7, Problem 44E

Chapter 9.8, Problem 1CP

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2. Which of the following statements are (not) true? lim sup{An U Bn} 818 lim sup{A, B} 818 lim inf{An U Bn} 818 818 lim inf{A, B} An An A, Bn- A, BnB →B = = = lim sup A, U lim sup Bn; 818 818 lim sup A, lim sup Bn; 818 81U lim inf A, U lim inf Bn; 818 818 lim inf A, lim inf Bn; n→X 818 An U BRAUB as no; An OBRANB as n→∞.

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Chapter 9 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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Solution Summary: The author calculates the instantaneous rate of change of per capita health care expenditures for 2010 and 2020.

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