Compound interest formula is [tex]A = P(1+ \frac{r}{n} ) ^{nt} [/tex] where A is the amount after T years, P is the principal amount you start with, R is the interest rate, and N is the amount of compounding periods. Semi-annually means we only have 2 compounding periods.
Now plug in: [tex]A=5000(1+ \frac{0.10}{2}) ^{1.5*2}[/tex] which becomes [tex]A=5000(1+ \frac{0.10}{2}) ^{3}[/tex]. Plug this into your calculator.
A = 5788.125. Because it's money, you would round to the nearest penny.
A = 5,788.13 dollars
