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.