A new car worth $25,000 is depreciating in value by $5,000 per year. After how many years will the cars value be 5,000

1 answer

Let's denote the number of years as "x". We need to find the value of "x" when the car's value is $5,000.

The initial value of the car is $25,000, and it depreciates by $5,000 per year. So, the value of the car after "x" years can be expressed as:
Value = Initial Value - Depreciation per year * Number of years

In this case, the value of the car after "x" years is $5,000, so we can set up the equation as follows:
$5,000 = $25,000 - $5,000 * x

Now, let's solve for "x":
$5,000 + $5,000 * x = $25,000
$5,000 * x = $25,000 - $5,000
$5,000 * x = $20,000
x = $20,000 / $5,000

x = 4

Therefore, after 4 years, the car's value will be $5,000.