Answer
$\$ 10,073.52$.
Work Step by Step
We know that a formula for the investment is given by $F=7000 e^{0.052 t}$. After 7 years, we have
$$
\begin{aligned}
F & =7000 e^{0.052 \cdot 7} \\
& =\$ 10,073.52
\end{aligned}
$$ The value of the investment after 7 years is $\$ 10,073.52$.
