A car that originally cost $20 000 depreciates by 15% each year. in about how many years will the car be worth half its value? use the equation 10,000=20,000^x to solve the problem. round to the nearest dollar

Question

Mathematics

Ashleigh Schneider

16 October, 11:59

A car that originally cost $20 000 depreciates by 15% each year. in about how many years will the car be worth half its value? use the equation 10,000=20,000^x to solve the problem. round to the nearest dollar

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Answers (1)

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Nathalia · Answer 1

To determine the answer to the item above, we just have to make use of the already given equation to calculate for the number of years that the car is already half of its value.

10,000 = 20,000 (0.85) ^ (x)

The value of x is equal to 4.26 years. Therefore, at the end of approximately 4.26 years, the value of the car is half of the original value.