Problema Solution

Alex is trying to sell a go-kart that he bought 4 years ago for $3,400.00. He hopes the value of the go-kart would not depreciate more than 5% for each six-month period that he owned it. How much does he hope to sell the go-kart for?

Answer provided by our tutors

The salvage value under a declining balance can be calculated using the formula:


S = V0(1 - r)



where S is the salvage value,


V0 = $3,400.00 is the purchase price,


r = 0.05is the percentage depreciation per period expressed as a decimal


n = 2*4 = 8 is the number of periods (the depreciation happens each 6 months)


S = 3400(1 - 0.05)^8


S = $2,255.63


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after 4 years he is hoping to sell the go-kart for $2,255.63.