Answer: $6,000
Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.
The equation should look like this:
(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)
Then you substitute: (value at the end of 2006) x 0.6 = 3600
Then divide: (value at the end of 2006) = 0.6 ÷ 3600
Then substitute again: (value at the end of 2006) = 6,000
Hope this helped you! Feel free to ask me any questions!