If a country aims to reduce its carbon emissions by 20% each year, what will be

If a country aims to reduce its carbon emissions by 20% each year, what will be the emissions after 2 years if the current emissions are 1,000 tons?

If a country aims to reduce its carbon emissions by 20% each year, what will be the emissions after 2 years if the current emissions are 1,000 tons?

Step 1: Identify the current emissions, which is 1,000 tons.
Step 2: Determine the reduction rate, which is 20% per year. This means we keep 80% of the emissions each year (100% - 20% = 80%).
Step 3: Convert the percentage to a decimal for calculation. 80% as a decimal is 0.80.
Step 4: Calculate the emissions after the first year. Multiply the current emissions (1,000 tons) by 0.80: 1,000 * 0.80 = 800 tons.
Step 5: Now calculate the emissions after the second year. Again, multiply the emissions after the first year (800 tons) by 0.80: 800 * 0.80 = 640 tons.
Step 6: The final result is the emissions after 2 years, which is 640 tons.

Exponential Decay – The question tests understanding of exponential decay, where a quantity decreases by a constant percentage over time.
Percentage Reduction – It assesses the ability to apply percentage reductions to a given initial value over multiple time periods.