Aria buys a new car for $36000 she learns that every year her car will depreciate in value by 15% this means that each year her car will be worth 85% of what was the previous year aria tracks how much her car is worth over time

To create the formula for the worth of Aria's car over time, we can use the formula:

Y = A * (1 - r)^x

Where:
Y = worth of the car after x years
A = initial amount (purchase price of the car)
r = depreciation rate per year (expressed as a decimal)
x = number of years

In this case, Aria's car depreciates by 15% each year, which means the depreciation rate (r) is 0.15. Therefore, the formula becomes:
Y = 36000 * (1 - 0.15)^x

To find how much Aria's car is worth in 20 years, we substitute x = 20 into the formula:
Y = 36000 * (1 - 0.15)^20
Y = 36000 * (0.85)^20
Y ≈ 3621.47

Therefore, Aria's car will be worth approximately $3621.47 in 20 years.