Answer
a) $519.02$
b) $538.75$
c) $726.23$
Work Step by Step
In $A(t)=P(1+\frac{r}{n})^{nt}$ for compound interest $P,r,n,t$ respectively stand for the principal, interest rate per year, the number of times the interest is compounded per year and the number of years. $A(t)$ is the amount after $t$ years. So if we invest $P=500$ at an interest rate of $r=0.0375$ compounded quarterly ($n=4$), the amount after $t$ years is:
a) $A(1)=500(1+\frac{0.0375}{4})^{4(1)}\approx519.02$
b) $A(2)=500(1+\frac{0.0375}{4})^{4(2)}\approx538.75$
c) $A(10)=500(1+\frac{0.0375}{4})^{4(10)}\approx726.23$
