SemajZ669343 SemajZ669343
  • 25-10-2022
  • Mathematics
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i need help with my homework PLEASE CHECK WORKNUMNER 3

i need help with my homework PLEASE CHECK WORKNUMNER 3 class=

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AyatY104700 AyatY104700
  • 25-10-2022

3) We have a model that relates the number of trees and time, expressed in months (m).

This relation is:

[tex]N(m)=4384*2^{-m}[/tex]

We can find the month m where the number of trees is N(m) = 1096 as:

[tex]\begin{gathered} N(m)=1096 \\ 4384*2^{-m}=1096 \\ 2^{-m}=\frac{1096}{4384} \\ 2^{-m}=0.25 \\ 2^{-m}=0.25 \\ -m*\log_2(2)=\log_2(0.25) \\ -m*1=-2 \\ m=2 \end{gathered}[/tex]

Answer: The number of trees will be 1096 after m = 2 months [Option A]

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