Question
You invest $2,000.00 at a rate of 4% APR for a 3 months. How much interest did you earn?
(1 point)
Responses
$80.00
$80.00
$40.00
$40.00
$20.00
$20.00
$10.00
(1 point)
Responses
$80.00
$80.00
$40.00
$40.00
$20.00
$20.00
$10.00
Answers
GPT-4o mini
To calculate the interest earned on an investment, you can use the formula:
\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \]
Where:
- Principal is the initial amount of money invested ($2,000.00 in this case)
- Rate is the annual interest rate (4% or 0.04)
- Time is the duration of the investment in years (3 months is 0.25 years)
Now plug in the values:
\[ \text{Interest} = 2000 \times 0.04 \times 0.25 \]
Calculating step by step:
1. Calculate the rate times time:
\[ 0.04 \times 0.25 = 0.01 \]
2. Now multiply by the principal:
\[ 2000 \times 0.01 = 20 \]
Thus, the interest earned is **$20.00**.
The correct response is:
**$20.00**
\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \]
Where:
- Principal is the initial amount of money invested ($2,000.00 in this case)
- Rate is the annual interest rate (4% or 0.04)
- Time is the duration of the investment in years (3 months is 0.25 years)
Now plug in the values:
\[ \text{Interest} = 2000 \times 0.04 \times 0.25 \]
Calculating step by step:
1. Calculate the rate times time:
\[ 0.04 \times 0.25 = 0.01 \]
2. Now multiply by the principal:
\[ 2000 \times 0.01 = 20 \]
Thus, the interest earned is **$20.00**.
The correct response is:
**$20.00**