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The number of N bacteria in a culture can be modeled through the continuous growth model. If the there were 100 bacteria initially and the value for k is 0.5, what will the population of the bacteria be in 10 hours, where t is the number of hours?
14,841
148
165
22,026
500

Respuesta :

the answer is 165 I think/ I hope
JeanaShupp

Answer: 14841

Step-by-step explanation:

The contimous growth model with growth rate 'k' in t hours is given by :-

[tex]P(t)=Ne^{kt}[/tex], where N is the initial population.

Given : Initial population of toads=100

Growth rate k = 0.5

The population of toads after 10 hours is given by :-

[tex]P(10)=100e^{0.5\times10}\\\\=100e^{5}\\\\=14841.3159103\approx14841[/tex]

Hence, the  population of the bacteria be in 10 hours = 14841

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