Answer
$\$59.71$
Work Step by Step
According to the Formula for compounding continuously, where $P$ is the principal, the amount deposited, $r$ is the annual interest rate, $t$ is the number of years, $A$ is the amount you get back after $t$ years:
$A=P\cdot e^{r\cdot t}$
Here we have:
$t=3.25\text{ years}$
$r=9\%=0.11$
$A=\$80$
Substitute these values into the formula above to obtain:
$\$80=P\cdot e^{0.09\cdot 3.25}$
Hence,
$P=\dfrac{\$80}{ e^{0.09\cdot 3.25}}\approx\$59.71$
