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OpenStudy (anonymous):

A certain kind of bacteria doubles every 4 hours. If initially there are 2000 bacteria, how many will be produced in 12 hours?

OpenStudy (harsimran_hs4):

well if it becomes double very 4 hours then it will become 4times in 8 hours and finally 8times after 12 hours so 2^(n/4)* 2000 will be strength of bacteria after n hours clear??

OpenStudy (anonymous):

is there a general formula for this certain question ?

OpenStudy (harsimran_hs4):

no i predicted the trend from the question you need to analyze the question and then find out the answer

OpenStudy (harsimran_hs4):

is there any confusion??

OpenStudy (anonymous):

ahhhh

OpenStudy (anonymous):

does n stands for the time

OpenStudy (harsimran_hs4):

n = number of hours

OpenStudy (anonymous):

\[2^{\frac{ 12 }{4 }}\times2000\]

OpenStudy (anonymous):

does it goes like that?

OpenStudy (harsimran_hs4):

yes!!

OpenStudy (harsimran_hs4):

i`ll tell you how i guessed the general trend

OpenStudy (anonymous):

16000

OpenStudy (harsimran_hs4):

look it`s getting double of the previous so everytime it`s getting multiplied by 2 say initially they were 2000 in number the they would be 2* 2000 then again next would be 2* 2* 2000 so this can be generalized as 2^m *2000 but observing we find that they multiply every 4 hours not 1 hour so 2^(n/4) * 2000 hope this clears up doubts in your mind

OpenStudy (anonymous):

thank you very much

OpenStudy (anonymous):

do you know about statistics?

OpenStudy (anonymous):

@harsimran_hs4

OpenStudy (harsimran_hs4):

no

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