Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled byD(t) = 10,020e0.02292twhere t is the number of years past 2010. In what year is disposable income predicted to be $13 trillion (that is, $13,000 billion)?

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Asked Oct 29, 2019
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by
D(t) = 10,020e0.02292t
where t is the number of years past 2010. In what year is disposable income predicted to be $13 trillion (that is, $13,000 billion)?
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The year in which the disposable income is predicted...

10,020e02292 13000
202292 1.2974
0.02292t 1n (1.2974)
t 11.36
t11
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10,020e02292 13000 202292 1.2974 0.02292t 1n (1.2974) t 11.36 t11

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