SOLUTION: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1,000 mosquitoes initially and there are 1400 after 1 day. What is the size of the colony

Question 1088641: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1,000 mosquitoes initially and there are 1400 after 1 day. What is the size of the colony after 4 days? How long is it until there are 90,000 mosquitoes?
What is the size of the colony after 4 days?
Approximately _______ Mosquitoes.
(do not round till the final answer. Then round to the nearest whole number as needed.)
How long is it until there are 90,000 mosquitoes?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It increased at a rate of 40% per day.
90000=(1.4)^t
ln both sides
ln (90000)=t ln (1.4)
divide both sides by ln (1.4)
t=33.90 days.
----------------------
After 4 days, 1000(1.4)^4=3841.6 or 3842
As stated above, 33.90 days until 90,000 are in the colony.
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