The dollar value vt of a certain car model that is t years old is given by the following exponential function.=vt20,0000.90tFind the initial value of the car and the value after 13 years.Round your answers to the nearest dollar as necessary.Initialvalue: $Valueafter13years: $
Question
The dollar value vt of a certain car model that is t years old is given by the following exponential function.=vt20,0000.90tFind the initial value of the car and the value after 13 years.Round your answers to the nearest dollar as necessary.Initialvalue:
Solution
The initial value of the car is found by substituting t = 0 into the equation.
So, v0 = 20,000 * 0.90^0 = $20,000
The value of the car after 13 years is found by substituting t = 13 into the equation.
So, v13 = 20,000 * 0.90^13 = $5,354
So, the initial value of the car is 5,354.
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