Question 124288
Two crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine how many bacteria will be present after 100 days. 
A 100
B 800
C 0
D 2
E 109
F 345 
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Day 1: 2
Day 2: 2+0.04*2=2(1+0.04)= 2*1.04
Day 3 = (2*1.04)+0.4*(2*1.04) = 2*1.04(1+0.04) = 2*(1.04)^2
....
...
Day 100 = 2*1.04^99 = 97

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Cheers,
Stan H.