Question 124332: 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 requested help for another problem similar to this,and i tried to plug in the right numbers in the right places,but I keep coming up with numbers that arent choices. Any help would be greatly appricaited. 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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