Answer
$\$ 5200.00$
Work Step by Step
The future value ($FV=?$) of an investment of
$PV=5000$ dollars
at an annual simple interest rate of
$r =8\displaystyle \%=\frac{8}{100}=0.08$
for a period of
$t =$ ($6$ months)$\displaystyle \cdot\frac{1\ year}{12\ months}=\frac{6}{12}$ years $=0.5$ years
is
$FV=PV(1+rt)$
$FV=5000(1+0.08(0.5)=5200$