Answer
$6,314
Explanation
Compound interest formula
![A=P(1+(r)/(n))^(nt)](https://img.qammunity.org/2023/formulas/mathematics/high-school/39foo2gerf9tf1ffk32zwshrn339mz02kv.png)
where
• A: final amount, in dollars
,
• P: principal, in dollars
,
• r: interest rate, as a decimal
,
• n: number of times interest is applied per year
,
• t: time in years
In this case, the investment is compounded annually, that is, once per year (n = 1). Substituting P = $4,625, r = 0.0352 (=3.52/100), n = 1, and t = 9 years, we get:
![\begin{gathered} A=4,625(1+(0.0352)/(1))^(1\cdot9) \\ A=4,625(1.0352)^9 \\ A=\text{ \$}6,314 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qhf66y54g14c6yq7xb9pv8fl6jpsvazk8a.png)