José put $1,500 into a savings account. He earns 3% interest every year. How much simple interest will he earn at the end of 3 years?

$45.00
$135.00
$4,500.00
$13,500.00

1 answer

To calculate the simple interest earned over a period of time, you can use the formula:

\[ \text{Simple Interest} = P \times r \times t \]

where:

  • \( P \) is the principal amount (initial amount of money),
  • \( r \) is the annual interest rate (as a decimal),
  • \( t \) is the time in years.

In this case:

  • \( P = 1500 \)
  • \( r = 3% = 0.03 \)
  • \( t = 3 \)

Now, plug these values into the formula:

\[ \text{Simple Interest} = 1500 \times 0.03 \times 3 \]

Calculating this step-by-step:

  1. Calculate \( 1500 \times 0.03 \): \[ 1500 \times 0.03 = 45 \]

  2. Now multiply by 3: \[ 45 \times 3 = 135 \]

So, the simple interest José will earn at the end of 3 years is $135.00.

The correct answer is $135.00.