Question

You purchased a vehicle for 32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you finally have it paid off

Answer 1

$11421.90

Explanation:

For a property worth Principal, P which depreciates at a rate of r% for a period of n years, the value is given by the formula:

Value=P(1-r)ⁿ

For the Car,

Purchase Price, P=$32000

Depreciation Rate=18.62%=0.1862

Time, n=5 years

Therefore the worth of the car after 5 years =32000(1-0.1862)⁵

=32000(0.8138)⁵

=$11421.90

Answer 2

F = $11,421.90

Final value after 5 years F = $11,421.90

Complete question;

You purchased a vehicle for $32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you finally have it paid off

Explanation:

Given;

Initial value P = $32,000

Depreciation rate r = 18.62% = 0.1862

Time t = 5

Final value = F

Using the compound depreciation formula;

F = P(1 - r)^t

Substituting the values;

F = $32,000(1 - 0.1862)^5

F = $11,421.90

Final value F = $11,421.90