Question

a car sales for $5,000 in losses 1/10 of its value each year right write a function that gives a car value T years after it's sold

Answer 1

The value of car after T years of sold is $5,000
`(0.9)^(\textrm T)`

Explanation:

The initial value of car = i = $5,000

The value of car decreases every years at rate = r =
`(1)/(10)` = 0.1 = 10%

Let The value of car after T years of sold = $f

Now, According to question

The value of car after T years of sold = initial value of car ×
`(1-(rate)/(100))^(\textrm time)`

I.e f = i ×
`(1-(r)/(100))^(\textrm T)`

Or, f = $5,000 ×
`(1-(10)/(100))^(\textrm T)`

Or, f = $5,000 ×
`(0.9)^(\textrm T)`

So,The value of car after T years = f = $5,000
`(0.9)^(\textrm T)`

Hence,The value of car after T years of sold is $5,000
`(0.9)^(\textrm T)` Answer