You deposited $2000 in an account that pays 8% interest compounded yearly. Find the balance of the account after 3 years.

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Answer:

$2,519.42

Step-by-step explanation:

To solve this problem, lets use the compound interest formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 8% into a decimal:

8% -> [tex]\frac{8}{100}[/tex] -> 0.08

Now lets plug the values into the equation:

[tex]A=2,000(1+\frac{0.08}{1})^{1(3)}[/tex]

[tex]A=2,519.42[/tex]

Your answer is $2,519.42