The computer after 4 years will be worth $819.2.
Given,
A powerful computer is purchased for $2000.
Loses 20% of its value each year.
We need to find the value of the computer after 4 years.
We have,
Cost of the computer = $2000
% Loss of value per year = 20%
The value of the computer after the first year:
= 2000 - 20% of 2000
= 2000 - 400
= $1600
The value of the computer after the second year:
= 1600 - 20% of 1600
= 1600 - 320
= $1280
The value of the computer after the third year:
= 1280 - 20% of 1280
= 1280 - 256
= $1024
The value of the computer in the fourth year:
= 1024 - 20% of 1024
= 1024 - 204.8
= $819.2
Thus the value of the computer after 4 years will be worth $819.2.
Learn more about the percentage loss word problem here:
https://brainly.com/question/16789980
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