Final answer:
If you miss a payment in the fifth month, you will be charged $44.94 in interest.
Step-by-step explanation:
To find the amount of interest charged for missing a payment in the fifth month, we need to calculate the interest accrued up until that point. The purchase price of the computer is $755.00 plus 5% sales tax, which totals $792.75. Over the course of 6 months, you make 6 payments of $50.00 each, totaling $300.00. If you miss a payment in the fifth month, you will be assessed a late fee of $39.00 and an interest charge calculated at a 17.25% APR. To determine the interest charge, we need to calculate the daily interest rate by dividing the APR by 365 (days in a year) and then multiply it by the number of days the payment is late. In this case, the payment is late by 120 days (5 months). The daily interest rate is 17.25% / 365 = 0.04726%. Therefore, the interest charge is 0.04726% * 120 days * $792.75 = $44.94.