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Write the exponential equation for this scenario. Mike buys a car for $45,000.00. The cars value depreciates (loses value) at a rate of 18% per year.
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Respuesta :

samuelonum1

Answer:

[tex]A=45000(0.82)^t[/tex]

Step-by-step explanation:

Given data

P= 45,000

rate= 18%

Recall the expression for the compound interest

[tex]A=P(1+r)^t[/tex]

Since we are talking of depreciation

[tex]A=P(1-r)^t[/tex]

Substitute

[tex]A=45000(1-0.18)^t\\\\A=45000(0.82)^t[/tex]

Hence the exponential function is

[tex]A=45000(0.82)^t[/tex]

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