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Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. What is the decay factor for the value of the car?

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It is given in the question that

Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year.

And we have to find the decay factor.

In equation


y = a(b)^x

b is the decay factor which is equal to


b=1-r

Where r is the rate .

And in the given question, r is 10 % , that is 0.1.

So decay factor is


b = 1-r = 1-0.1=0.9

So the decay factor is 0.9 .

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