Question 1139087
 A skull cleaning factory cleans animal skulls of​ deer, buffalo and other types of animals using​ flesh-eating beetles.
 The factory owner started with only 8 adult beetles. 
 After 43 ​days, the beetle population grew to 24 adult beetles.
 How long did it take before the beetle population was 8000 ​beetles?
:
The exponential equation: {{{A = Ao*e^((kt))}}}
find k, when t=43
{{{8*e^((43k)) = 24}}}
{{{e^((43k)) = 3}}}
43k = ln(3)
43k = 1.0986
k = {{{1.0986/43}}}
k = .02555
:
let t = time for 8000 of these creatures
{{{8*e^((.02555t)) = 8000}}}
{{{e^((.02555t)) = 1000}}}
t = {{{ln(1000)/.02555}}}
t = 270.36 days