savannahklingler
savannahklingler savannahklingler
  • 22-02-2021
  • Mathematics
contestada

Nicholas bought a new computer for $1,250. The value of the computer decreases by 17 percent every year. Approximately how much is the computer worth after 5 years?

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 03-03-2021

Answer: The computer worth $ 492.38 after 5 years.

Step-by-step explanation:

If the value of an item depreciates by r% then the value of the item after t years is given by :-

[tex]V=V_0(1-\dfrac{r}{100})^{t}[/tex]

, where [tex]V_0[/tex] = initial value.

Given: [tex]V_0[/tex] =$1,250, r=17% , t= 5 years

Then, the value of computer after 5 years = [tex]1250(1-\dfrac{17}{100})^5[/tex]

[tex]=1250(0.83)^5\\\\=1250(0.39390)\\\\\approx492.38[/tex]

Hence, the computer worth $ 492.38 after 5 years.

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