Final answer:
The car would be worth approximately $14105 in the year 2007.
Step-by-step explanation:
To find out how much the car would be worth in the year 2007, we need to calculate the annual depreciation of the car. The car depreciates by 10% each year, so the value of the car after each year can be calculated using the formula:
Value = Initial Value x (1 - Depreciation Rate)
Substituting the given values, we have:
Value in 2007 = $21500 x (1 - 0.10) x (1 - 0.10) x (1 - 0.10) x (1 - 0.10) = $21500 x 0.9 x 0.9 x 0.9 x 0.9 = $21500 x 0.6561
Calculating this, we find that the car would be worth approximately $14105 in the year 2007, to the nearest hundred dollars.