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Sagot :

Answer:

You would have approximately 201 insects.

Step-by-step explanation:

To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time [tex]t=0[/tex] would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time [tex]t=0[/tex] is 7 days. Now the new equation would be [tex]P = 100(e)^{0.1*7}[/tex].

   [tex]P = 100(e)^{0.1*7}[/tex]

⇒ [tex]P[/tex] ≈ [tex]100 * 2.01[/tex]

⇒ [tex]P[/tex] ≈ [tex]201[/tex]

You will have 201 insects in 7 days (rounded to the nearest insect).

The answer is 201 Insects