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A country plans to reduce its carbon emissions by 10% each year. If the current

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Question: A country plans to reduce its carbon emissions by 10% each year. If the current emissions are 500 tons, what will be the emissions after 2 years?

Options:

  1. 400.5 tons
  2. 450 tons
  3. 405 tons
  4. 490 tons

Correct Answer: 405 tons

Solution: 

Emissions after 1 year = 500 * (1 - 0.10) = 500 * 0.90 = 450 tons. After 2 years = 450 * 0.90 = 405 tons.

A country plans to reduce its carbon emissions by 10% each year. If the current

Practice Questions

Q1
A country plans to reduce its carbon emissions by 10% each year. If the current emissions are 500 tons, what will be the emissions after 2 years?
  1. 400.5 tons
  2. 450 tons
  3. 405 tons
  4. 490 tons

Questions & Step-by-Step Solutions

A country plans to reduce its carbon emissions by 10% each year. If the current emissions are 500 tons, what will be the emissions after 2 years?
  • Step 1: Start with the current emissions, which are 500 tons.
  • Step 2: Calculate the emissions after 1 year by reducing 10% of 500 tons.
  • Step 3: To find 10% of 500, multiply 500 by 0.10, which equals 50 tons.
  • Step 4: Subtract the 10% (50 tons) from the current emissions (500 tons). So, 500 - 50 = 450 tons.
  • Step 5: Now, take the emissions after 1 year (450 tons) and calculate the emissions after 2 years by reducing another 10%.
  • Step 6: Calculate 10% of 450 tons by multiplying 450 by 0.10, which equals 45 tons.
  • Step 7: Subtract the 10% (45 tons) from the emissions after 1 year (450 tons). So, 450 - 45 = 405 tons.
  • Step 8: The emissions after 2 years will be 405 tons.
  • Exponential Decay – The question tests the understanding of exponential decay through a percentage reduction applied repeatedly over time.
  • Percentage Calculations – It assesses the ability to perform calculations involving percentages and their application in real-world scenarios.
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