The value in dollars, v(x), of a certain truck after x years is represented by the equation v
(x)=32,500(0.92)^x To the nearest dollar, how much more is the truck worth after 2 years than after 3 years?

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isyllus isyllus · Answer 1 · 2019-03-14T19:21:56+01:00

Answer:

The worth of truck is $2,201 more after 2 years than after 3 years.

Step-by-step explanation:

Given: [tex]V(x)=32500(0.92)^x[/tex]

The value of truck is depreciate per year using above formula.

We need to find how much more worth of truck after 2 years than 3 years.

First we find the worth of truck after 2 years, put x=2 into formula

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

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

The worth of truck after 2 years would be $27,508

Now we find the worth of truck after 3 years, put x=3 into formula

[tex]V(3)=32500(0.92)^3[/tex]

[tex]V(3)=25307.36[/tex]

The worth of truck after 2 years would be $25,307.36

Now we find difference of both value.

Difference = 27508-25307.36 = $2,201

Hence, The worth of truck is $2,201 more after 2 years than after 3 years.