A car is originally worth $34,450. It takes 13 years for this car to totally depreciate.

a.) Write the straight line depreciation equation for this situation.

b.) How long will it take for the car to be worth half its value?

c.) How long will it take for the car to be worth $10,000? Round your answer to the nearest tenth of a year.

Respuesta :

Answer:

a.) y= -2650x + 34450

b.) 6.5

c.) 9.2

A) The car depreciates $ 2,650 per year.

B) The car will be worth half its value in 6.5 years.

C)  It will take 9.33 years for the car to be worth $ 10,000.

Given that a car is originally worth $ 34,450, and it takes 13 years for this car to be totally depreciate, for A) write the straight line depreciation equation for this situation, B) determine how long will it take for the car to be worth half its value, and C) how long will it take for the car to be worth $ 10,000, the following calculations must be performed:

A)

  • 34450/13 = X
  • 2650 = X

Therefore, the car depreciates $ 2,650 per year.

B)

  • 34450/2/2650 = X
  • 17225/2650 = X
  • 6.5 = X

Therefore, the car will be worth half its value in 6.5 years.

C)

  • 2650X = 10000
  • X = 10000/2650
  • X = 3.77
  • 13 - 3.77
  • 9.33

Therefore, it will take 9.33 years for the car to be worth $ 10,000.

Learn more about maths in https://brainly.com/question/26174878