a certain population of beetles is increasing at a rate 22% per month. if there

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It looks like your question got cut off. However, I can help you with a general scenario regarding the growth of a population of beetles that increases at a rate of 22% per month.

To find out the population size after a certain number of months, we can use the formula for exponential growth:

\[ P(t) = P_0 \times (1 + r)^t \]

where:

  • \( P(t) \) is the population at time \( t \),
  • \( P_0 \) is the initial population,
  • \( r \) is the growth rate (as a decimal), and
  • \( t \) is the time in months.

Given that the growth rate is 22%, we convert that to a decimal:

\[ r = 0.22 \]

If you provide an initial population, \( P_0 \), and the time period \( t \) (in months), I can calculate the population size for you! Just let me know those details.

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