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plz show math
-TUO (e) 500 0.1 year 30. Consider a population undergoing logistic growth with population parameters Imar A = 500. What is
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Answer #1

logistic growth model is the model which suggest the growth of a population with respect to the time.

the equation of this growth is given by the formula

dN/dt =r(K - NN/K

where dN/dt is the population growth rate - average growth rate per year

r -maximum percapita growth - maximum average growth rate per year,

K is carrying capacity- the number of individuals that can be feed by environment witnhout affeting the environment itself  

N - number of individuals in a population

here N=100

K=500

r=0.1/year

we are asked to find dN/dt

so applying values to equation

dN/dt= 0.1*(500-100)*100/500

=0.1*400*1/5

=40/5

dN/dt = 8 individuals per year

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