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April 18, 2014

April 18, 2014

Posted by **HanuMath25/11** on Sunday, November 25, 2012 at 5:42pm.

Suppose a person with an ear infection takes a 200-mg ampicillin tablet every 4 h. About 12% of the drug in the body at the start of a four-hour period is still present at the end of that period. What amount of ampicillin is in the body, to the nearest tenth of a milligram,

(a) after taking third tablet?

(b) after taking the sixth tablet?

- Pre Calculus -
**Reiny**, Sunday, November 25, 2012 at 8:55pmamount right now (1st pill) = 200 mg

amount after 2nd pill = 200 + .12(200) = 200(1.12)

amount after 3rd pill = 200 + 200(.12) + 200(.12)^2

amount after 4th pill = 200 + 200(.12) + 200(.12)62 + 200(.12)^3

...

amount after nth pill = 200 + 200(.12) + ... + 200(.12)^(n-1)

after 6th pill

amount = 200 + 200(.12) + ... + 200(.12)^5

= 200( 1 - .12^6)/(1-.12) = 227.27 mg

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