Respuesta :

Let x be the old price

X= 1200$
The price decreased 20% after 1 year to become price y :
Y= 0.8x
= 0.8 (1200)
= 960$
In the year after y also decreased 20% to be price y’:
Y’= 0.8y
= 0.8 (960)
= 768 $
The price y’ then decreased 20% to become price y’’:
Y’’ = 0.8 y’
= 0.8 (768)
= 614.4 $
Then the price will be 614.4 $ after 3 years
adioabiola

We are required to find the cost of the TV in 3 years time given the current cost

The cost of the TV in 3 years is $614.4

The current cost = $1200

Percentage current cost = 100%

Percentage Depreciation value per year = 20%

Number of years = 3

Cost in three years = current cost (Percentage current cost - Percentage Depreciation value)^Number of years

= 1200(100% - 20%)^3

= 1200(1 - 0.2)^3

= 1200(0.8)³

= 1200(0.512)

= 614.4

Cost in three years = $614.4

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