Answer
$\$104,334.67$.
Work Step by Step
According to the Compound Interest Formula, where $P$ is the principal, the amount deposited, $r$ is the annual interest rate, $n$ is the number of times the interest is compounded annually, $t$ is the number of years, $A$ is the amount the loaner gets back after $t$ years:
$A=P\cdot(1+\frac{r}{n})^{n\cdot t}.$
Here it is compounded annually, hence $n=1$, therefore $A=P\cdot(1+\frac{r}{1})^{1\cdot t}\\ A=P\cdot(1+r)^{t}.$
Also, $t=5$ years
$P=\$90000$
$r=3\%$
Substitute these values into the formula above to obtain:
$A=\$90000 \cdot (1+0.03)^5=\$104,334.67$.
