Final answer:
The decay in the value of a car is exponential, and the car will be worth approximately $8,216.84 in two years.
Step-by-step explanation:
The decay in the value of a car is exponential, as it decreases by a fixed percentage each year. In this case, the car's value is decreasing by 13% per year. To calculate the car's worth in two years, we can use the formula:
Final Value = Initial Value * (1 - decay rate)^n
Given that the car is worth $10,840 today and the decay rate is 13%, we can substitute these values into the formula:
Final Value = $10,840 * (1 - 0.13)^2
Final Value = $10,840 * (0.87)^2
Final Value = $10,840 * 0.7569
Final Value = $8,216.84
Therefore, the car will be worth approximately $8,216.84 in two years.