a new car cost $13,000 and is depreciating by $900 each year. how much will the car cost be worth after 4 years?

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To determine the car's worth after 4 years, we need to calculate its depreciation for each year and subtract that amount from the original cost.

Given:
Original cost of the car = $13,000
Annual depreciation = $900

After the first year, the car's worth will be $13,000 - $900 = $12,100.
After the second year, the car's worth will be $12,100 - $900 = $11,200.
After the third year, the car's worth will be $11,200 - $900 = $10,300.
After the fourth year, the car's worth will be $10,300 - $900 = $9,400.

Therefore, the car will be worth $9,400 after 4 years.