The compound interest formula is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where A is the final amount, P is the principal, r is the interest rate (as a decimal), n is the number of times the interest is applied per year, and t is the number of years.
Given that the interest is compounded annually, then n = 1.
Substituting with P = $727, r = 0.15, n = 1, and t = 5 years, we get:
[tex]\begin{gathered} A=727\cdot(1+0.15)^5 \\ A=1462.26\text{ \$} \end{gathered}[/tex]In 5 years, he will have $1,462.26
