To calculate the simple interest earned on an investment, you can use the formula:
\[ \text{Interest} = P \times r \times t \]
where:
- \( P \) is the principal amount (the initial amount of money),
- \( r \) is the rate of interest (in decimal form),
- \( t \) is the time the money is invested (in years).
In this case, Eric deposits \( P = 5000 \) dollars, the annual interest rate \( r = 4% = 0.04 \), and he keeps the money in the account for \( t = 4 \) years.
Now, let's plug these values into the formula:
\[ \text{Interest} = 5000 \times 0.04 \times 4 \]
Calculating this step-by-step:
-
First calculate \( 0.04 \times 4 \): \[ 0.04 \times 4 = 0.16 \]
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Now multiply by \( 5000 \): \[ \text{Interest} = 5000 \times 0.16 = 800 \]
Therefore, the amount of interest Eric will be paid in the first 4 years is $800.