Respuesta :

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,

[tex]A=P(1+\frac{r}{100})^t[/tex]

Substitute the given values in the above expression.

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

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

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