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"John's T.V". gives you 25% discount on a $987.48 T.V and you pay 6 1/2 sales tax on the balance. If you take out a 2 year loan with an annual interest rate of 15.6%, what will your monthly payment be?

User Cashflow
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Answer:

To calculate the monthly payment for the TV after the discount, sales tax, and financing, we need to follow these steps:

Step 1: Calculate the discount

Discount = 25% of $987.48

Discount = 0.25 x $987.48

Discount = $246.87

Step 2: Calculate the discounted price of the TV

Price after discount = $987.48 - $246.87

Price after discount = $740.61

Step 3: Calculate the sales tax

Sales Tax = 6.5% of $740.61

Sales Tax = 0.065 x $740.61

Sales Tax = $48.15

Step 4: Calculate the total cost of the TV after discount and sales tax

Total cost = Price after discount + Sales Tax

Total cost = $740.61 + $48.15

Total cost = $788.76

Step 5: Calculate the monthly payment on the 2-year loan with 15.6% annual interest rate using the following formula:

Monthly Payment = (P x r) / (1 - (1 + r)^(-n))

where P is the principal (total cost of the TV), r is the monthly interest rate (15.6% / 12), and n is the number of months (24).

Monthly Interest Rate = 15.6% / 12

Monthly Interest Rate = 0.013

Monthly Payment = ($788.76 x 0.013) / (1 - (1 + 0.013)^(-24))

Monthly Payment = $36.89

Therefore, the monthly payment on the 2-year loan for the TV is $36.89.

Explanation:

User Mad Jackal
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