Answer
$\$ 13,839.91$
Work Step by Step
The future value of an investment of $\\\\$
PV=10,000 dollars earning interest $\\$
at an annual rate of r=$6.5\%=0.065\\$
compounded (reinvested) m$=365$ times per year$\\$
for a period of t$=10$ years is$\\$
$FV=PV(1+\displaystyle \frac{r}{m})^{mt}\\$
$=10,000(1+\displaystyle \frac{0.065}{365})^{365\cdot 10}\approx$13839.9059974$\\$
rounded to the nearest cent: $\$ 13,839.91$
