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.
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: 3,100
Step 3: Subtract the depreciation from the current value to get the car's value at the end of the first year.
3,100 = $12,400
Step 4: Repeat steps 2 and 3 for the next two years.
For the second year: 2,480 2,480 = $9,920
For the third year: 1,984 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.
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