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a laptop computer is purchased for $4500. Each year, its value is 80% of its value the year before. After how many years will the laptop computer be worth $1000 or less?​

Respuesta :

Answer:

So after 7 year price of the laptop will be less than $1000

Step-by-step explanation:

We have given price of the laptop is $4500

Its price is 80% of if its value in every next year

So depreciation rate = 100 - 80 =20%

For depreciation we know that

[tex]V=P(1-r)^n[/tex]

Here V is final value and P is present value

So [tex]1000=4500(1-0.2)^n[/tex]

[tex]0.2222=(0.8)^n[/tex]

Taking log both side

[tex]log0.222=nlog0.8[/tex]

n = 6.74

So after 6.74 year the price of the laptop will be less than $1000

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