SOLUTION: An insect colony has a population that is modeled by p = 427e^t/18, where t is the number of days since scientists begin studying the colony. How many days will it take for the pop
Algebra.Com
Question 1062355: An insect colony has a population that is modeled by p = 427e^t/18, where t is the number of days since scientists begin studying the colony. How many days will it take for the population to reach 700?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An insect colony has a population that is modeled by p = 427e^t/18, where t is the number of days since scientists begin studying the colony. How many days will it take for the population to reach 700?
--------
I'll assume the exponent is t/18
p = 427e^(t/18) = 700
e^(t/18) = 700/427 = 100/61
t/18 = ln(100/61)
t = 18*ln(100/61) days
RELATED QUESTIONS
The size P of a certain insect population at time t (in days) obeys the function... (answered by mathmate)
The size P of a certain insect population at time...t...(in days) obeys the function P... (answered by josgarithmetic)
Here is the question: In an experiment, the population (P) of a bacteria colony is given... (answered by sheldonbbtrocks)
the future population of a town is modeled by p(t) = 120+4 t+0.05 t^2 where p is the... (answered by stanbon)
``The size P of a certain insect population at time t (in days) obeys the function (answered by Boreal)
Hello!
I've been having some trouble with the following word problem
A large pond... (answered by jim_thompson5910)
The population, P, of a bacteria colony at t hours can be modeled by
{{{ P(t) = 500 + t... (answered by ikleyn)
The size P of a certain insect population at time t (in days) obeys the functions P (t) = (answered by Alan3354)
A large pond is stocked with fish.The fish population P is modeled by the... (answered by ankor@dixie-net.com)