jiyanayee06
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The value in dollars, v(x), of certain truck after x year’s is represented by the equation v(x)= 32500(0.92)^x. To the nearest dollar, how much is the truck worth after 2 years?

Respuesta :

[tex]\bf v(x)=32500(0.92)^x\qquad \qquad \stackrel{\textit{2 years later, x = 2}}{v(2)=32500(0.92)^2} \\\\\\ v(2)=32500(0.8464)\implies v(2)=27508[/tex]

Answer:

$27508.

Step-by-step explanation:

We have been given that the value of certain truck after x years is represented by equation [tex]v(x)=32500(0.92)^x[/tex]. We are asked to find the value of truck after 2 years.

To find truck's value after 2 years, we need to substitute [tex]x=2[/tex] in our given equation.

[tex]v(2)=32500(0.92)^2[/tex]

[tex]v(2)=32500*0.8464[/tex]

[tex]v(2)=27508[/tex]

Therefore, the truck is worth $27508 after 2 years.

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