Your reasoning and your answer were both correct. Discuss with the teacher. ("Discuss". DON'T fight.)
Answer:
25110.51
Step-by-step explanation:
A = P(1 + r/n)^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
A = 16100(1+.1/4)^(4*4.5) = 25110.51
