Data about recent federal defense spending are given in the accompanying Statistical Abstract of the United States table. Here t denotes the time, in years, since 1990 and D denotes federal defense spending, in billions of dollars. t = Years since 1990 D = Spending (billions of dollars) 0 328.4 5 310.0 10 341.5 15 565.5 20 843.8 (a) Calculate the average yearly rate of change in defense spending from 1990 to 1995. billion dollars per year (b) Use your answer from part (a) to estimate D(4). billion dollars Explain what this value means. D(4) is the federal defense spending for 1994, in billions of dollars.D(4) is the federal defense spending for 1904, in billions of dollars. D(4) is the percent increase in federal defense spending from 1990 to 1994, in billions of dollars.D(4) is the average rate of change in federal defense spending from 1990 to 1994, in billions of dollars.D(4) is the percent increase in federal defense spending from 1900 to 1904, in billions of dollars. (c) Calculate the average yearly rate of change in defense spending from 2005 to 2010. billion dollars per year
Data about recent federal defense spending are given in the accompanying Statistical Abstract of the United States table. Here t denotes the time, in years, since 1990 and D denotes federal defense spending, in billions of dollars. t = Years since 1990 D = Spending (billions of dollars) 0 328.4 5 310.0 10 341.5 15 565.5 20 843.8 (a) Calculate the average yearly rate of change in defense spending from 1990 to 1995. billion dollars per year (b) Use your answer from part (a) to estimate D(4). billion dollars Explain what this value means. D(4) is the federal defense spending for 1994, in billions of dollars.D(4) is the federal defense spending for 1904, in billions of dollars. D(4) is the percent increase in federal defense spending from 1990 to 1994, in billions of dollars.D(4) is the average rate of change in federal defense spending from 1990 to 1994, in billions of dollars.D(4) is the percent increase in federal defense spending from 1900 to 1904, in billions of dollars. (c) Calculate the average yearly rate of change in defense spending from 2005 to 2010. billion dollars per year
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Data about recent federal defense spending are given in the accompanying Statistical Abstract of the United States table. Here t denotes the time, in years, since 1990 and D denotes federal defense spending, in billions of dollars.
|
t = Years since 1990
|
D = Spending
(billions of dollars) |
|---|---|
| 0 | 328.4 |
| 5 | 310.0 |
| 10 | 341.5 |
| 15 | 565.5 |
| 20 | 843.8 |
(a) Calculate the average yearly rate of change in defense spending from 1990 to 1995.
billion dollars per year
(b) Use your answer from part (a) to estimate
billion dollars
Explain what this value means.
(c) Calculate the average yearly rate of change in defense spending from 2005 to 2010.
billion dollars per year
(d) Use your answer from part (c) to estimate the value of
billion dollars
billion dollars per year
(b) Use your answer from part (a) to estimate
D(4).
billion dollars
Explain what this value means.
D(4) is the federal defense spending for 1994, in billions of dollars.D(4) is the federal defense spending for 1904, in billions of dollars. D(4) is the percent increase in federal defense spending from 1990 to 1994, in billions of dollars.D(4) is the average rate of change in federal defense spending from 1990 to 1994, in billions of dollars.D(4) is the percent increase in federal defense spending from 1900 to 1904, in billions of dollars.
(c) Calculate the average yearly rate of change in defense spending from 2005 to 2010.
billion dollars per year
(d) Use your answer from part (c) to estimate the value of
D(21).
billion dollars
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