a car costs $25,750 and depreciates in value by 20% per year. how much will the car be worth after 5 years

To calculate the depreciation of the car after 5 years, we first need to calculate the depreciation of the car each year.

Year 1: $25,750 * 20% = $5,150
Year 2: ($25,750 - $5,150) * 20% = $4,120
Year 3: ($21,600 - $4,120) * 20% = $3,456
Year 4: ($17,480 - $3,456) * 20% = $2,996.8
Year 5: ($13,983.2 - $2,996.8) * 20% = $2,396.64

After 5 years, the car will be worth $13,983.2 - $2,396.64 = $11,586.56.