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Jeremiah has $1,000 in a savings account that earns 10% interest, compounded annually.To the nearest cent, how much will he have in 4 years?$

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Given data:

The given initial amount is P=$1,000.

The given rate of interest is r=10%.

The given time is t=4 years.

The expression for the final amount after 4 years is,


A=P(1+(r)/(100))^t

Substitute the given values in the above expression.


\begin{gathered} A=(1000)(1+(10)/(100))^4 \\ =1000(1.1)^4 \\ =1464.10 \end{gathered}

Thus, the final amount after 4 years is $1464.10.

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