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your baby brother has an ear infection. The doctor saud there are probably 50000000 bacteria in his left ear. The penicillin the doctor prescribed will k**l7% of the bacteria every hour. How many bacteria will be in you brother's ear in 1day,1week

 Nov 4, 2016
 #1
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your baby brother has an ear infection. The doctor saud there are probably 50 000 000 bacteria in his left ear. The penicillin the doctor prescribed will k**l7% of the bacteria every hour. How many bacteria will be in you brother's ear in 1day,1week

 

1 day = 24 hour

 

After one hour there will be ((100-17)% = 83% = 0.83 of the original amount  left

that is after 1 hour there will be

5*10^7   *     0.83

after 2 hours

\(5*10^7   *     0.83   *  0.83     =  5*10^7   *     0.83^2\)

 

after 3 hours

\(5*10^7   *     0.83   *  0.83     =  5*10^7   *     0.83^3\)

 

after 24 hours

\(5*10^7   *     0.83   *  0.83     =  5*10^7   *     0.83^{24}\)

 

5*10^7*0.83^24 = 571274 bacteria left

 

and you can do the 1 week question.  How many hours are in a week anyway?

 Nov 4, 2016
 #2
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just do 24*7 and you get the amount of hours in a week

CupcakeShark  Nov 4, 2016

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