The following table gives the U.S. national debt for selected years from 1900 to 2013. U.S. Debt ($ billions) U.S. Debt ($ billions) 3233 5225 5674 7933 11,957 13,529 15,476 16,067 16,856 Year 1900 1910 1920 1930 1940 1945 1955 1965 1975 1985 1 1 24 16 43 259 273 314 533 1823 Year 1990 1996 2000 2005 2009 2010 2011 2012 2013 (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national de the data. (Round your coefficients to four decimal places.) y = 5.383(1.087*) × (b) Use the model to predict the debt in 2024. (Round your answer to the nearest billion.) $ billion (c) Predict the year in which the debt will be $99 trillion ($99,000 billion).

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The following table gives the U.S. national debt for selected years from 1900 to 2013.
U.S. Debt
($ billions)
U.S. Debt
($ billions)
1
3233
1
5225
24
5674
16
7933
43
11,957
259
13,529
273
15,476
314
16,067
533
16,856
1823
Year
1900
1910
1920
1930
1940
1945
1955
1965
1975
1985
Year
1990
1996
2000
2005
2009
2010
2011
2012
2013
(a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in
the data. (Round your coefficients to four decimal places.)
y = 5.383(1.087*) *
(b) Use the model to predict the debt in 2024. (Round your answer to the nearest billion.)
$
billion
(c) Predict the year in which the debt will be $99 trillion ($99,000 billion).
Transcribed Image Text:The following table gives the U.S. national debt for selected years from 1900 to 2013. U.S. Debt ($ billions) U.S. Debt ($ billions) 1 3233 1 5225 24 5674 16 7933 43 11,957 259 13,529 273 15,476 314 16,067 533 16,856 1823 Year 1900 1910 1920 1930 1940 1945 1955 1965 1975 1985 Year 1990 1996 2000 2005 2009 2010 2011 2012 2013 (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in the data. (Round your coefficients to four decimal places.) y = 5.383(1.087*) * (b) Use the model to predict the debt in 2024. (Round your answer to the nearest billion.) $ billion (c) Predict the year in which the debt will be $99 trillion ($99,000 billion).
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