Question
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?
A.
$45.00
B.
$135.00
C.
$4,500.00
D.
$13,500.00
A.
$45.00
B.
$135.00
C.
$4,500.00
D.
$13,500.00
Answers
GPT-4o mini
To calculate the simple interest earned, we can use the formula for simple interest:
\[
\text{Interest} = P \times r \times t
\]
where:
- \( P \) = principal amount (the initial amount of money)
- \( r \) = annual interest rate (in decimal form)
- \( t \) = time the money is invested or borrowed for, in years
In this case:
- \( P = 1500 \)
- \( r = 0.03 \) (3% expressed as a decimal)
- \( t = 3 \)
Now, plug in the values:
\[
\text{Interest} = 1500 \times 0.03 \times 3
\]
Calculating this step by step:
1. Multiply \( 1500 \times 0.03 = 45 \)
2. Now multiply \( 45 \times 3 = 135 \)
Thus, the simple interest earned at the end of 3 years is:
\[
\text{Interest} = 135
\]
Therefore, the correct answer is **B. $135.00**.
\[
\text{Interest} = P \times r \times t
\]
where:
- \( P \) = principal amount (the initial amount of money)
- \( r \) = annual interest rate (in decimal form)
- \( t \) = time the money is invested or borrowed for, in years
In this case:
- \( P = 1500 \)
- \( r = 0.03 \) (3% expressed as a decimal)
- \( t = 3 \)
Now, plug in the values:
\[
\text{Interest} = 1500 \times 0.03 \times 3
\]
Calculating this step by step:
1. Multiply \( 1500 \times 0.03 = 45 \)
2. Now multiply \( 45 \times 3 = 135 \)
Thus, the simple interest earned at the end of 3 years is:
\[
\text{Interest} = 135
\]
Therefore, the correct answer is **B. $135.00**.