Answer
$\$ 7,604.88$
Work Step by Step
The future value of an investment of
PV$=6,000$ dollars
earning interest at an annual rate of r$=0.0475 \\$
compounded (reinvested) m$=12$ times per year$\\$
for a period of t$=5$ years is$\\$
$FV=PV(1+\displaystyle \frac{r}{m})^{mt}\\$
$=6,000(1+\displaystyle \frac{0.0475}{12})^{12(5)}\approx \$ 7604.88$
