A car is purchased for US$24.000. After each year, the resale value decreases by 20%. What will the resale value be after 4 years?

Sure, let's break it down step by step.

1. Initial Value: The car is purchased for US$24,000.

2. Annual Depreciation: The resale value decreases by 20% each year. This means the car retains 80% of its value each year.

3. First Year:

   • Resale value after 1 year = Initial value × 0.80
   • Resale value after 1 year = 24,000 × 0.80 = 19,200

4. Second Year:

   • Resale value after 2 years = Resale value after 1 year × 0.80
   • Resale value after 2 years = 19,200 × 0.80 = 15,360

5. Third Year:

   • Resale value after 3 years = Resale value after 2 years × 0.80
   • Resale value after 3 years = 15,360 × 0.80 = 12,288

6. Fourth Year:

   • Resale value after 4 years = Resale value after 3 years × 0.80
   • Resale value after 4 years = 12,288 × 0.80 = 9,830.40

So, the resale value of the car after 4 years will be US$9,830.40.