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 is the truck worth after 2 years?

5 answers

To find the value of the truck after 2 years, we can substitute x = 2 into the equation v(x) = 32,500(0.92)^x:

v(2) = 32,500(0.92)^2
v(2) = 32,500(0.8464)
v(2) = 27,504

Therefore, to the nearest dollar, the truck is worth $27,504 after 2 years.
are you sure
Apologies for the mistake. Let's reevaluate the calculation:

v(x) = 32,500(0.92)^x

So we need to find v(2):
v(2) = 32,500(0.92)^2
v(2) = 32,500(0.8464)
v(2) = 27,544

Therefore, to the nearest dollar, the truck is worth $27,544 after 2 years.
if the answer is 27,508, then how much would it be after 3 years
Let's calculate the value of the truck after 3 years using the equation v(x) = 32,500(0.92)^x:

v(3) = 32,500(0.92)^3
v(3) = 32,500(0.778688)
v(3) = 25,317.04

Therefore, to the nearest dollar, the truck would be worth $25,317 after 3 years.