Gary bought a car for $40,000. If V = 40,000 (.85) t represents the value of the car after t years, how long will it take the car to be worth less than one-fourth of its purchase price?

Question

Mathematics

Korbin Dawson

19 July, 13:42

Gary bought a car for $40,000. If V = 40,000 (.85) t represents the value of the car after t years, how long will it take the car to be worth less than one-fourth of its purchase price?

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Jabari Ward · Answer 1

40000*1/4=10000

10000=40000 (0.85) ^t solve for t

t=log (10,000:40,000) : log (0.85)

t=8.5 years

Less than one-fourth

Assume 9000

T=log (9,000:40,000) : log (0.85)

T=9 years