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The population of a town is modeled by the equation P = 165810.02, where “P"
represents the population as of the year 2000.
• According to the model, what will the population of the town be in 2020?
In approximately what year will the population reach 30,000 people?
Must answer and show appropriate work for both questions here.

Help plz I will give Brainlyest answer plz help fast plz show work The population of a town is modeled by the equation P 16581002 where P represents the populat class=

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mhanifa

Answer:

  • D. 24736 people and 29 years

Step-by-step explanation:

The model given is:

  • P = 16581*e^(0.02t)

Population in 2020, t = 20

  • P = 16581*e^(0.02*20) = 24736 people (rounded)

Population of 30000:

  • 30000 = 16581*e^(0.02t)
  • e^(0.02t) = 30000/16581
  • e^(0.02t) = 1.80929
  • ln e^(0.02t) = ln 1.80929
  • 0.02t = 0.5929
  • t = 0.5929/0.02
  • t = 29.645 ≈ 29 years

Correct choice is D

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