If $7025 is invested at a rate of 10% compounded continuously, what will be the balance after 12 years? Round your answer to two decimal places.
![If 7025 is invested at a rate of 10 compounded continuously what will be the balance after 12 years Round your answer to two decimal places class=](https://us-static.z-dn.net/files/d67/81460ddcd775878f21c0e27c7cd47eaa.png)
p = $7025
r = 10% = 10/100 = 0.1
t = 12
[tex]A=pe^{rt}[/tex]Therefore,
[tex]\begin{gathered} A=7025\times e^{0.1\times12} \\ A=7025\times e^{1.2} \\ A=7025\times3.32011692274 \\ A=23323.8213822 \\ A=\text{ \$}23323.82 \end{gathered}[/tex]Balance after 12 years = $23,323.82