Answer
$\$ 13685.69$
Work Step by Step
The future value of an investment of
PV dollars earning interest $\\$
at an annual rate of r=$0.04$
compounded (reinvested) m$=1$ times per year$\\$
for a period of t$=8$ years is$\\$
$FV=PV(1+\displaystyle \frac{r}{m})^{mt}\\$
$=10,000(1+\displaystyle \frac{0.04}{1})^{1\cdot 8}\approx$13685.6905041$\\$
rounded to the nearest cent: $\$ 13685.69$