U"A Cars Value Depreciates By 12% Every Year. If A New Car Costs 750,000, What Woult Its Value Be After 5 Years"

a cars value depreciates by 12% every year. If a new car costs 750,000, what woult its value be after 5 years

Answer:

The cars value after 5 years of depreciation at rate 12% is 449,775.

Step-by-step explanation:

Appreciation or increasing annual value: 1 + r

Depreciation or decreasing annual value: 1 - r

Present Value: 750,000, a₁

Rate of depreciation: 12% or 0.12

Period: 5 years, n=5

Depreciated amount after 5 years: an or a₅

an = a₁(1 - r)ⁿ⁻¹

a₅ = 750,000 (1 - 0.12)⁵⁻¹

a₅ = 750,000 (0.88)⁴

a₅ = 750,000 (0.5997)

a₅ = 449,775

The cars value after 5 years of depreciation at rate 12% is 449,775.


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