Write the equation for the depreciation of the value of your car for t years at 14% per year.
If the initial value is v, the depreciated value d after t years is
d = v*0.86^t
The equation for the depreciation of the value of a car can be represented using exponential decay. The general formula for exponential decay is:
V = P(1 - r)^t
Where:
V is the final value of the car after t years,
P is the initial value of the car,
r is the depreciation rate per year, expressed as a decimal, and
t is the number of years.
In this case, the depreciation rate per year is 14%, which can be converted to a decimal by dividing it by 100, giving us 0.14. Therefore, the equation for the depreciation of the value of your car for t years at a rate of 14% per year is:
V = P(1 - 0.14)^t
To calculate the depreciation of the value of your car, you can use the straight-line depreciation formula. The formula is as follows:
Depreciation = Initial Value - (Rate of Depreciation * t)
In this case, the rate of depreciation is given as 14% per year. However, we need to convert this percentage to a decimal, which is done by dividing it by 100. So, the rate of depreciation becomes 0.14.
Now, let's assume the initial value of your car is represented by V.
Therefore, the equation for the depreciation of the value of your car for t years at a 14% annual rate would be:
Depreciation = V - (0.14 * t)