The total interest earned at the end of 4 years is $2,507. 90.
The formula for determining simple interest is: Principal x interest rate x time
$4000 x 3.2% x 4 = $512.
The formula for determining interest with compounding is: future value - amount invested.
The formula for calculating future value:
FV = P (1 + r/m)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
Future value of the savings account = $4000 x (1.021)^4 = $4346.73
Interest = $4346.73 - $4000 = $346.73
Future value of the certificate of deposit = $7500 x (1.0125)^16 = $9149.17
Interest = $9149.17 - $7500 = $1649.17
Total interest = $1649.17 + $346.73 + $512. = $2,507. 90.
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