Answer:
Option B - $ 11,200
Explanation:
Given : Sophie deposited money into an account in which interest is compounded semiannually at a rate of 3.2%. She made no other deposits or withdrawals and the total amount in her account after 7 years was $13,987.17.
To find : The money deposited
Solution :
Formula to find Compound interest is

P is the principle value
Where A is the amount = $13,987.17
Rate = 3.2%=0.032
Time = 7 years
Compounded semiannually,
Rate became

Time became

Substitute in the formula,





Approximately P=$11200
Therefore, Option B is correct.