Answer:
Value of Investment= Principal (1+Rate of return)^Number of periods
For the first investment the principal is 7,500, the rate of return is 11.5% and the number of periods are 5 so the value of the investment will be
7,500 (1+0.115)^5=12,925
For the second investment the principal is 5,000, the rate of return is 11.5 and the number of periods are 3 as the 5,000 is invested two years from today.
5,000*(1+0.115)^3=6,931
Total value of investments = 12,925 +6,931 = $19,856