SOLUTION: Certain bunny rabbits reproduce at a continuous rate of 200% a year. Assuming that a warren starts with 10 bunny rabbits calculate the number of rabbits after 3 years (assume none

Question 124283: Certain bunny rabbits reproduce at a continuous rate of 200% a year. Assuming that a warren starts with 10 bunny rabbits calculate the number of rabbits after 3 years (assume none of the bunny rabbits meet with misadventure).
A 6072
B 4034
C 32
D 561
E 23
F 123
I've been stuck on this question for awhile because im not sure where to start. If someone could walk me through the steps and show me where to plug everything in and the correct answer I would very much appreciate it. Thank you for your time.

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the key here is "continuous" __ this is similar to a continuous compounding interest problem

for continuous compounding __ A=Pe^(rt)__ A is the current amount, P is the starting amount (principle)
__ e is the base for natural logs, r is the rate (in decimal, per time unit), and t is the time

for this problem __ A=10*e^(2*3)

this will match one of your choices
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