Answer:If at the end of any year a car is worth 5% less than what it was worth at the beginning of the year, we can say that the car's value decreases by a factor of 0.95 (1 - 0.05) every year.
To find the car's value in December 2009, we can use the formula:
Car value at end of year = Car value at beginning of year * (1 - 0.05)^(number of years)
Plugging in the given values, we get:
Car value in December 2009 = 10,000 * (1 - 0.05)^1 = 9,500
So the car's value in December 2009 is 9,500 dollars.
Explanation: