Seamus bought a car that originally sold for $40,000. It exponentially depreciates at a rate of 7.75% per year. Write the exponential depreciation equation for this car.

The exponential depreciation equation for this car is $40,000

Exponential depreciation refers to the constant decline of an asset by a constant percentage over a given period of time.

The formula used to represent exponential depreciation is:

FV = P (1 - r)^n

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The exponential Depreciation equation for the car is .

Step-by-step explanation:

Given:

Original Value = $40,000

Depreciation rate = 7.75%

We need to write the exponential depreciation equation for this car.

Solution:

Now we know that the exponential function is given by;

where;

 ⇒ Value after 'x' years

⇒ Original Value

 ⇒ Depreciation Rate

 ⇒ Time period.

Now substituting the given values we get;

Hence The exponential Depreciation equation for the car is .

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5