Final answer:
Mario would pay $112.50 in interest on their $9,000 line of credit with a 9% annual interest rate if they repaid the balance in two months, using the simple interest formula.
Step-by-step explanation:
To calculate the interest on a line of credit, you can use the simple interest formula: Interest = Principal × Rate × Time. In the case of Mario, who used $9,000 from their line of credit with an annual interest rate of 9%, we would need to find the interest for a period of two months.
First, convert the annual interest rate to a monthly rate by dividing by 12 (since there are 12 months in a year):
Monthly interest rate = 9% ÷ 12 = 0.75%
Next, convert the time period from months to years (since the rate is an annual rate):
Time in years = 2 months ÷ 12 = 1/6 year
Now, apply these values to the simple interest formula:
Interest = $9,000 × 0.0075 × 1/6 = $112.50
Therefore, Mario would pay $112.50 in interest on their line of credit if they repaid the balance in two months.