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The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (t)=20,000 (0.86)'
Find the value of the car after 4 years and after 10 years.
Round your answers to the nearest dollar as necessary.
Value after 4 years:
Value after 10 years:

Respuesta :

sqdancefan

Answer:

  • 4 years: $10,940
  • 10 years: $4,426

Step-by-step explanation:

Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.

Evaluation

Put the value of t in the formula where t is, and do the arithmetic.

The attached calculator output tells us ...

  value after 4 years: $10,940

  value after 10 years: $4,426

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Additional comment

When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.

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