if an individual saves $5,700 and elects to place the total dollar amount into a savings account earning 2.75% APR compounded monthly, how much will the original deposit grow to in 12 years?
Since we are compounding MONTHLY, we need to look at the MONTHLY INTEREST RATE (assuming APR does NOT account for compounding already)
2.75 / 12 = .229167 % / month
12 years is 12 x12 interest periods (months) = 144
fv = pv (1+ i ) ^t where i is interest rate in decimal = .00229167 and t is the time periods 144 fv = future value pv = present value (5700)
fv = 5700 (1+ .00229167)^144 = 7925.53