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In 2005 the average per-capita income in the us was 34586


Question: In 2005, the average per-capita income in the US was $34,586 and increasing at a rate of r(t) = 1556.37e0.045t dollars per year, where t is the number of years since 2005.

(a) Estimate the average per-capita income in 2015.

(b) Find a formula for the average per-capita income as a function of time after 2005.

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Mathematics: In 2005 the average per-capita income in the us was 34586
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