The amount that will be in the account after 30 years is $162,272.32.
<h3>How much would be in the account after 30 years?</h3>
When an amount is compounded annually, it means that once a year, the amount deposited and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.
The formula that can be used to determine the future value of the yearly deposit of $4,000 in 30 years is : annuity factor x yearly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate
- n = number of years
$4000 x [{(1.02^30) - 1} / 0.02] = $162,272.32
To learn more about calculating the future value of an annuity, please check: brainly.com/question/24108530
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