Answer: 11.2958% approximately
Work Shown
APY = (1 + APR/n)^n - 1
APY = (1 + 0.1075/12)^12 - 1
APY = 0.112958
APY = 11.2958% approximately
Round this value however needed.
The value $5000 is never used. Your teacher probably put that there as a distraction.