samihough511p4xt9y samihough511p4xt9y
  • 02-03-2018
  • Mathematics
contestada

A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

Respuesta :

jajumonac jajumonac
  • 18-01-2020

Answer:

$6,765.35.

Step-by-step explanation:

Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula

[tex]A=A_{0}(1-r)^{t}[/tex]

Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.

Replacing all values, we have

[tex]A=20300(1-0.0875)^{12}[/tex]

[tex]A=6765.35[/tex]

Therefore, after 12 years the car will value $6,765.35.

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