Answer
${{\$}} 12,830.27$
Work Step by Step
The amount A
after investing P dollars at rate r annual interest,
compounded m times a year, for a period of t years is
$A=P\displaystyle \left(1+\frac{r}{m}\right)^{mt}$
Given
$P=10,000,\ r=0.025,\ m=4,\ t=10$,
$A=10,000(1+\displaystyle \frac{0.025}{4})^{4\cdot 10}\approx{{\$}} 12,830.27$