Explanation:
V = P(1 - r)^t
where V is the value of the car after t years, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the number of years.
Plugging in the values given in the problem, we get:
V = 42000(1 - 0.15)^7
V = 42000(0.85)^7
V = 42000(0.327)
V = $13734.00
Therefore, the car will be worth $13,734.00 after 7 years. Rounded to the nearest dollar, the value is $13,734.