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A city doubles its size every 55 years. If the population is currently 469,900469,900, what will the population be in 2020 years??

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Full solution

Q. A city doubles its size every 55 years. If the population is currently 469,900469,900, what will the population be in 2020 years??
  1. City Growth Rate: The city doubles every 55 years. So, in 2020 years, it will double rac{20}{5} times. rac{20}{5} = 4
  2. Population Doubling Calculation: The population doubles 44 times. So, we calculate 469,900imes24469,900 imes 2^4. 24=162^4 = 16
  3. Final Population Calculation: Now, multiply the current population by 1616. 469,900∗16=7,518,400469,900 * 16 = 7,518,400

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