1. Understand the problem:
We are dealing with exponential decay here since the value of the car is decreasing by a certain percentage each year.
2. Use the formula for exponential decay:
The formula to calculate the value of an asset after years with a rate of decay (expressed as a decimal) starting from an initial value is .
In this case:
The initial value of the car is $.
The rate of decay is or in decimal form.
The number of years is .
3. Substitute the values into the formula: