SOLUTION: Hi all, Was hoping someone would help me solve for the co-efficient in the following: Population of rabbits on an isolated island exponentially increased because of the absen

Algebra ->  Equations -> SOLUTION: Hi all, Was hoping someone would help me solve for the co-efficient in the following: Population of rabbits on an isolated island exponentially increased because of the absen      Log On


   

Question 317028: Hi all,
Was hoping someone would help me solve for the co-efficient in the following:

Population of rabbits on an isolated island exponentially increased because of the absence of predators.
N(t) = N0e^kt (The 0 is a lower case zero)
The initial population at t=0 was 10 and at t=1/2 the population reached 100.Determine the co-efficient k. Do not convert answer to decimal points.
Thanks,
-Nick.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
100 = 10 e^(k/2)

10 = e^(k/2)

ln(10) = k/2

2[ln(10)] = k