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The population of a city decreases by 
4.1% per year. If this year's population is 314,000 , what will next year's population be, to the nearest individual?
Answer:

The population of a city decreases by 4.1% 4.1 \% per year. If this year's population is 314314,000000 , what will next year's population be, to the nearest individual?\newlineAnswer:

Full solution

Q. The population of a city decreases by 4.1% 4.1 \% per year. If this year's population is 314314,000000 , what will next year's population be, to the nearest individual?\newlineAnswer:
  1. Identify percentage decrease and population: The question prompt is: "What will next year's population be, given a 4.1%4.1\% annual decrease from a current population of 314,000314,000?"
  2. Convert percentage to decimal: Identify the percentage decrease and the current population.\newlineThe percentage decrease is 4.1%4.1\% per year, and the current population is 314,000314,000.
  3. Calculate decrease amount: Convert the percentage decrease to a decimal to use in calculations. 4.1%4.1\% as a decimal is 0.0410.041.
  4. Find next year's population: Calculate the amount of decrease by multiplying the current population by the decimal decrease.\newlineDecrease = 314,000×0.041314,000 \times 0.041
  5. Perform subtraction for final population: Perform the multiplication to find the decrease.\newlineDecrease = 12,87412,874
  6. Perform subtraction for final population: Perform the multiplication to find the decrease.\newlineDecrease = 12,87412,874 Subtract the decrease from the current population to find next year's population.\newlineNext year's population = 314,00012,874314,000 - 12,874
  7. Perform subtraction for final population: Perform the multiplication to find the decrease.\newlineDecrease = 12,87412,874 Subtract the decrease from the current population to find next year's population.\newlineNext year's population = 314,00012,874314,000 - 12,874 Perform the subtraction to find the final population.\newlineNext year's population = 301,126301,126

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