Answer
$\$ 11,383.24$
Work Step by Step
The future value of an investment of
PV$=10,000$ dollars
earning interest at an annual rate of r$=0.0525 \\$
compounded (reinvested) m$=2$ times per year$\\$
for a period of t$=2.5$ years is$\\$
$FV=PV(1+\displaystyle \frac{r}{m})^{mt}\\$
$=10,000(1+\displaystyle \frac{0.0525}{2})^{2(2.5)}\approx \$ 11,383.24$