Answer:
$12432
Step-by-step explanation:
You want the value in 7 years of a $49,872 car that depreciates 18% per year.
Exponential function
The exponential function modeling the value can be written as ...
value = (initial value) · (1 - (depreciation rate))^t
where the depreciation rate is per year, and t is in years.
Using the problem statement values, this is ...
value = 49872·(1 -18%)^t
After 7 years, the value is ...
value = 49872(0.82)^7 ≈ 12432
The approximate value in dollars of Brianna's car after 7 years will be 12432.
