Respuesta :

Answer:

The value after 0 years = $ 800

The value after 1 year = $600

The value after 2 years = $450

The value after 3 years = $337.5

The value after n years = computer cost at (n-1) year - [tex]\frac{1}{4} (n-1 cost)[/tex]

Step-by-step explanation:

The cost of computer = $ 800

It losed 1/4th of value every year.

The value of computer after 0 years = cost of computer = $ 800

The value after 1 year = 800 - ( [tex]\frac{1}{4} (800)[/tex]) = $600

The value after 2 years = 600 - ( [tex]\frac{1}{4} (600)[/tex]) = $450

The value after 3 years = 450 - ( [tex]\frac{1}{4} (450)[/tex]) = $337.5

The value after n years = computer cost at (n-1) year - [tex]\frac{1}{4} (n-1 cost)[/tex]

The value of the computer at time 0 is $800

The value of the computer at time 1 is $600

The value of the computer at time 2 is $450

The value of the computer at time 3 is $337.50

The value of the computer at time t is (n - 1) x 3/4

Depreciation

When an asset depreciates, it means that the asset declines or reduces in value, it means that is value becomes smaller as the years goes by.

Calculation of the decline in value

Value of the computer can be represented with this equation: cost of the computer in the previous year x (1 - rate of decline)

  • Value of the computer at time 0 = $800
  • Value of the computer at time 1 = $800 x (3/4) x 1 = $600
  • Value of the computer at time 2 = $600 x 3/4  = $450
  • Value of the computer at time 3 = $450 x 3/4 = $337.50

To learn more about future value, please check: https://brainly.com/question/18760477

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