Hank purchased a $28,000 car two years ago using an 8 percent, 5-year loan. He has decided that he would sell the car now, if he could get a price that would pay off the balance of his loan. What is the minimum price Hank would need to receive for his car

$18,117.58

Explanation:

the question requires that we find the minimum price Hank would need to receive his first car.

loan = $28,000

rate = 0.08/12 = 0.0067

the monthly payment can be calculated as:

loan /[0.0067/1-(1/(0.0067)^60))]

= 28000/[1-1/(1.0067^60)/0.0067]

= 28000/(1-(1/1.0067)^60)/0.0067

= $567.74

The minimum price can be calculated as:

pmt = 567.74 x [(1-(1/1.0067^36))/0.0067) x 0.0067

= $18,117.58

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