## Calculus (3rd Edition)

$$\616.8$$
Since $$P_0= \ 500,\ \ \ r=0.07$$ and the rate is compounded continuously, so we use the compound interest formula \begin{aligned} P&=P_{0} e^{r t} \\ &=500 e^{0.07t} \end{aligned} Hence, after three years \begin{align*} P(3) &=500 e^{0.07(3)}\\ &=\\$616.839 \end{align*}