SOLUTION: The number of bacteria in a large sealed jar doubles every minute. An hour after the first bacteria was put into the jar and sealed in, the jar was full. When was it half full?
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Question 137122: The number of bacteria in a large sealed jar doubles every minute. An hour after the first bacteria was put into the jar and sealed in, the jar was full. When was it half full? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The number of bacteria in a large sealed jar doubles every minute. An hour after the first bacteria was put into the jar and sealed in, the jar was full. When was it half full?
:
Let A = amt in the full jar (60 min)
:
A = 2^60
A = 1.153(10^18) which is several
:
Half of this amt should make the jar half full:
.5 * 1.153(10^18) = 5.765(10^17)
:
Let t = number of minutes
2^t = 5.765(10^17)
:
t*log(2) = log(5.765(10^17)
;
.301t = 17.7608
t =
t = 59 min, which we should have known, since it doubles every minute!
