Answer:
5251 dollars
Step-by-step explanation:
We can solve this problem by calculating the value of the car after 5 years and after 8 years, and then calculating the difference between the two values.
The expression that gives the value of the car in dollars after x years is:
[tex]v(x)=36,000(0.92)^x[/tex]
where
x is the number of years
After 5 years, we have
x = 5
Substituting, we find the value of the car:
[tex]v(5)=36,000(0.92)^5=23,727[/tex]
After 8 years, we have
x = 8
Substituting, we find the value of the car:
[tex]v(8)=36,000(0.92)^8=18,476[/tex]
Therefore, the difference in value of the car between 5 years and 8 years is
[tex]v(5)-v(8)=23,727-18,476=5,251[/tex]
