A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

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Answer:

The value of the car, to the nearest cent, after 12 years will be $ 6,765.35

Step-by-step explanation:

Let's recall that depreciation on a car can be determined by the formula:

V = C * (1 - r)^t , where:

V is the value of the car after t years,

C is the original cost

r is the rate of depreciation

t is the number of years of utilization of the car

Therefore, we have:

V = C * (1-r)^t

V = 20,300 * (1 - 0.0875)¹²

V = 20,300 * 0.333268

V = 6,765.35 (rounding to the nearest cent)

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