Level of Medicine in the Human BodyDate: 11/1/96 at 19:12:28 From: brenchi Subject: Level of Medicine in a Body A hospital patient receives a 10mg dose of medicine at intervals of 4 hours. During each interval, the amount of medicine in the patient's body reduces to 75 percent of the amount present at the beginning of the interval. Prove that there will always be less than 40mg of medicine present in the patient's body, regardless of the length of treatment. I would really appreciate your help! From Billy Date: 11/2/96 at 16:39:1 From: Doctor Anthony Subject: Re: Level of Medicine in a Body The amount of medicine present in the patient's body after an infinite amount of time is given by the sum of the series: 10(1 + .75 + .75^2 + .75^3 + ... to infinity) = 10(1/(1-.75) = 10(1/.25) = 10/.25 = 40mg -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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