Question

First City Bank pays 9 percent simple interest on its savings account balances, whereas Second City Bank pays 9 percent interest compounded annually. If you made a deposit of $7,500 in each bank, how much more money would you earn from your Second City Bank account at the end of eight years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

Answer 1

Future value is $14,944.22

Interest earned is $7444.22

Step-by-step explanation:

The amount to earn from Second City Bank is the interest that would have been received at the end of the eight years,

In order to determine the amount of interest,it would be nice to first of all compute the future value-the worth of the savings at the end of eight year using the below formula:

FV=PV*(1+r)^N

PV is the $7,500 invested

r is the compound rate of return is 9%

N is the number of years the amount was invested which is eight years

FV=$7,500*(1+9%)^8

FV=$ 14,944.22

Hence Interest =FV-PV

=$ 14,944.22 -$7,500

=$7444.22