Aria buys a new car for $36,000. She learns that eveyr year her car will depreciate in value by 15%. This means thea each year her car will be work 85% of what it was the previous year. Aria tracks how much her car is worth over time.
C. Create a formula for the worth of Aria's car over time
y = a x b^z
a = initial amount
b = growth factor
d. Use your formula in C and find how much Aria's car is worth in 20 years.
In this case, the initial amount (a) is $36,000 and since the car depreciates by 15% each year, the growth factor (b) would be 0.85 (since the car is worth 85% of its previous year's value).
Using the formula y = a x b^z, we can substitute the values:
y = $36,000 x 0.85^20
Now we can calculate the worth of Aria's car in 20 years:
y ≈ $36,000 x 0.107
y ≈ $3,870
Therefore, Aria's car will be worth about $3,870 in 20 years.