You purchase a computer for $755.00 plus 5% sales tax. You decide to finance it through the store's 0% program for six months. The terms state you must pay $50.00/month and that if you miss a payment, you will be assessed a late fee of $39.00 plus the interest accrued to that point on the initial amount at a 17.25% APR. If you miss a payment in the fifth month, how much interest will you be charged?
First, we need to calculate the total amount paid over the six months: $50/month * 6 months = $<<50*6=300>>300
Next, we need to calculate the amount paid each month towards the computer: $755 + ($755 * 5%) = $755 + $37.75 = $<<755+37.75=792.75>>792.75
Then, we subtract the total amount paid towards the computer to find the interest: $792.75 - $300 = $<<792.75-300=492.75>>492.75
Next, we need to convert the APR to a monthly interest rate: 17.25% / 12 months = 1.4375%
Then, we calculate the interest accrued over the first four months: ($492.75 * 1.4375%) * 4 months = $<<492.75*1.4375*.01*4=28.24>>28.24
Finally, we add the late fee to find the total interest charged: $28.24 + $39.00 = $<<28.24+39=67.24>>67.24. Answer: \boxed{67.24}.