To calculate the total percentage loss in the value of the car at the end of 2 years, where the value decreases at a steady rate of 10% each year, you can follow these steps:
1. Calculate the value of the car after the first year: Multiply the initial value of the car by 1 minus the percentage decrease (10%).
After the first year, the car's value is 100% - 10% = 90% of its initial value.
2. Calculate the value of the car after the second year: Multiply the value after the first year by 1 minus the percentage decrease (10%).
After the second year, the car's value is 90% - 10% = 81% of its value after the first year.
3. Calculate the total percentage loss by subtracting the final value from the initial value and dividing by the initial value, then multiplying by 100 to express it as a percentage.
Total percentage loss = (Initial value - Final value) / Initial value * 100
Total percentage loss = (100% - 81%) / 100% * 100 ≈ 18.9%
Therefore, at the end of 2 years, the total percentage loss in the value of the car, rounded to the nearest integer, is approximately 19%.