SOLUTION: 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. Aft

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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?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2Ae%5E%28%28kt%29%29
find k, when t=43
8%2Ae%5E%28%2843k%29%29+=+24
e%5E%28%2843k%29%29+=+3
43k = ln(3)
43k = 1.0986
k = 1.0986%2F43
k = .02555
:
let t = time for 8000 of these creatures
8%2Ae%5E%28%28.02555t%29%29+=+8000
e%5E%28%28.02555t%29%29+=+1000
t = ln%281000%29%2F.02555
t = 270.36 days