kathy plans to purchase a car that depreciates (loses value)at a rate of 14%per year initial cost of the car ia $21,000.which equation represents the value,v,of the car after 3 years?

21000- 0.14v

What are your choices?

To determine the value of the car after 3 years considering a depreciation rate of 14% per year, we need to subtract the depreciation from the initial cost each year.

To find the value of the car after 1 year, we need to subtract 14% of $21,000 from the initial cost:
First year value = $21,000 - (0.14 * $21,000)

To find the value of the car after 2 years, we need to subtract another 14% of the first year's value. Let's call the first year's value V1:
Second year value = V1 - (0.14 * V1)

Finally, to find the value of the car after 3 years, we need to subtract another 14% of the second year's value. Let's call the second year's value V2:
Third year value = V2 - (0.14 * V2)

Simplifying the equations:
First year value = $21,000 - (0.14 * $21,000)
Second year value = (1 - 0.14) * (First year value)
Third year value = (1 - 0.14) * (Second year value)

Combining these equations:
Third year value = (1 - 0.14) * ((1 - 0.14) * ($21,000 - (0.14 * $21,000)))

Simplifying further, we get:
Third year value = (0.86) * (0.86) * ($21,000 - (0.14 * $21,000))

Therefore, the equation to represent the value of the car after 3 years is:
V = (0.86) * (0.86) * ($21,000 - (0.14 * $21,000))

Simplifying this equation further will give you the exact value of the car after 3 years.