A new car worth ​$27,000 is depreciating in value by ​$3,000 per year. After how many years will the​ car's value be ​$15,000​?

To determine the number of years it will take for the car's value to reach $15,000, we can set up an equation:

$27,000 - $3,000x = $15,000

Solving for x (number of years):
$12,000 = $3,000x
x = 4

Therefore, it will take 4 years for the car's value to reach $15,000.