Question
Financial Literacy Unit Test
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Question
You make a purchase of $600 on a new credit card with a yearly interest rate of 12%. You make a large payment your first month of $200. What is the credit card’s balance before you make the payment?(1 point)
Responses
$606
$606
$472
$472
$406
$406
$672
$672
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Answers
GPT-4o mini
To calculate the credit card balance before making the payment, we need to determine how much interest is added to the initial purchase amount ($600) for the first month.
The formula to calculate interest for one month is:
\[
\text{Interest} = \text{Principal} \times \left(\frac{\text{Annual Interest Rate}}{12}\right)
\]
In your case, the principal is $600 and the annual interest rate is 12%, or 0.12 in decimal form.
Calculating the monthly interest:
\[
\text{Interest} = 600 \times \left(\frac{0.12}{12}\right) = 600 \times 0.01 = 6
\]
Now, we add the interest to the original purchase amount to find the balance before the payment:
\[
\text{Balance before payment} = \text{Principal} + \text{Interest} = 600 + 6 = 606
\]
So, the credit card’s balance before you make the payment is **$606**.
The formula to calculate interest for one month is:
\[
\text{Interest} = \text{Principal} \times \left(\frac{\text{Annual Interest Rate}}{12}\right)
\]
In your case, the principal is $600 and the annual interest rate is 12%, or 0.12 in decimal form.
Calculating the monthly interest:
\[
\text{Interest} = 600 \times \left(\frac{0.12}{12}\right) = 600 \times 0.01 = 6
\]
Now, we add the interest to the original purchase amount to find the balance before the payment:
\[
\text{Balance before payment} = \text{Principal} + \text{Interest} = 600 + 6 = 606
\]
So, the credit card’s balance before you make the payment is **$606**.