Question

I have no idea how to do this please help

Answer 1

Initial Value: 19,900

Value after 11 years: 7953

Step-by-step explanation:

The initial value of the car is its value at t =0. Therefore, to find this initial value, we put in t = 0 to get

`v(0)=19,900(0.92)^0`
`\boxed{v\mleft(0\mright)=19,900}`

Hence, the initial value is $19,900.

Now, to find the value after 11 years, we put t = 11 into the equation and get

`v(11)=19,900(0.92)^(11)`

which gives (rounded to the nearest dollar)

`\boxed{v\mleft(11\mright)=7953}`

which is our answer!

Hence, the value after 11 years is $7953.