Answer: FVA =$ 7507.74

Working noted for the above answer is as under

We have been provided with the information as

$200 received every 6 months

for 15 years

3% compounded semiannually

Formula for annuity is

Now we  put the figures in to the formula as under

FVS =200 * (1+0.03/2)15*2 -1 /0.03/2)

FVA =200* (1+0.015)30 -1 /0.015

Solving this equation we will get

FV A = $ 7507.74

Or you can use the following table for better understanding