Answer:
$71,720.
Explanation:
We can find the answer by finding the future value for the two periods (the 15 years under 4.1% interest rate, and the 18 years under 3.5% interest rate) using the future value of an investment formula:
FV = PV (1 + i)^n
Where:
- FV = Future value
- PV = Present value
- i = interest rate
- n = number of compounding periods
Now, for the first period of time, we plug the amounts into the formula:
FV = $21,000 (1 + 0.041)^15
FV = $38,369
Now, we take that result, and apply the same formula:
FV = $38,369 (1 + 0.035)^18
FV = $71,270
So, the total amount you will have in your account after 33 years is $71,720.