Ms. Luo is planning to buy a car valued at $20,000. The car depreciates by 17% each year. What is the value of the car after 4 years

Respuesta :

Answer:

$9,491.66

Step-by-step explanation:

Original price of car = $20,000

Rate of depreciation = 17%

Convert this to a percent = 17/100 = 0.17

The depreciation on the car after 1 year = 17% of 20,000
= 0.17 x $20,000

The value of the car after 1 year

= Cost - depreciation

= 20,000 - 0.17 x 20,000
= 20,000(1 - 0.17)

= 20,000(0.83)

After 2 years the value will be
20,000(0.83)(0.83 = 20,000 * (0.83)²

After 4 years value of car
= 20,000(0.83)⁴

= $9,491.66