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A car is purchased for $15,500. After each year, the resale value decreases by 20%. What will the resale value be after 3 years?Use the calculator provided and round your answer to the nearest dollar.

Question

A car is purchased for $15,500. After each year, the resale value decreases by 20%. What will the resale value be after 3 years?Use the calculator provided and round your answer to the nearest dollar.

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Solution

Step 1: Understand the problem. The car's value decreases by 20% each year. We need to find out what the car's value will be after 3 years.

Step 2: Calculate the annual depreciation. To do this, multiply the car's current value by the depreciation rate (20%).

For the first year: 15,5002015,500 * 20% = 3,100

Step 3: Subtract the depreciation from the current value to get the car's value at the end of the first year.

15,50015,500 - 3,100 = $12,400

Step 4: Repeat steps 2 and 3 for the next two years.

For the second year: 12,4002012,400 * 20% = 2,480 12,40012,400 - 2,480 = $9,920

For the third year: 9,920209,920 * 20% = 1,984 9,9209,920 - 1,984 = $7,936

So, the resale value of the car after 3 years will be approximately $7,936 when rounded to the nearest dollar.

This problem has been solved

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