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(Need 3 answers) An entomologist discovered a new insect species. The population of the insect species can be modeled by P(n) = 3,450 · bn, where n is the number of days and b is an unknown positive base.


Based on the model, there were initially ?
insects.

If b = 1.75, the daily percent growth rate of the new insect would be ?
%.

If there are 55,200 new insects after 4 days, then b = ?
.

Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

According to the model, the equation is:

  • P(n) = 3450*bⁿ

Based on the equation, the initial number of insects is 3450

If b = 1.75, daily growth rate is:

  • 1.75 - 1 = 0.75 = 75%

If  we get P(4) = 55200, find the value of b:

  • 55200 = 3450*b⁴
  • b⁴ = 55200/3450
  • b⁴ = 16
  • b⁴ = 2⁴
  • b = 2

Answer:

Based on the model, there were initially ?

insects.  = 3450 insects

If b = 1.75, the daily percent growth rate of the new insect would be ?

%.  = 75%

If there are 55,200 new insects after 4 days, then b = ?    =2

Step-by-step explanation:

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