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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1900 after 1​ day, what is the size of the colony after 4 ​days? How long is it until there are 40,000 ​mosquitoes? What is the size of the colony after 4 ​days?

Respuesta :

Answer:

5832 mosquitoes

Step-by-step explanation:

As we know

[tex]A = A_0 * e^{kt}\\[/tex]

Where A is the population after t days

A0 is the initial population

k is rate constant and

t is the time in days

Substituting the given values we get

[tex]1900 = 1000 * e^{1 * k}\\1.9 = e^{1 * k}\\k = 0.587[/tex]

Size of colony after 4 days

[tex]A = 1000 * e^ {(0.587*4)}\\A = 5832[/tex]mosquitoes