Keith is calculating the interest earned on a deposit of $2000 in an account that earns 4.2% annual compound interest after 4 years. How much did Keith earn in interest?

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Answer:

$357.77

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

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

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Now lets plug in the values into the equation:

[tex]A=2,000(1+\frac{0.042}{1})^4[/tex]

[tex]A=2,357.77[/tex]

To find the interest earned, subtract 2,000 from 2,357.77

[tex]2,357.77-2,000=357.77[/tex]

Keith earned $357.77 in interest.

Answer: $357.77

Step-by-step explanation: