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An Antibiotic Is Being Administered Intravenously to a Patient

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An antibiotic is being administered intravenously to a patient. Fluid containing 8.0 mg/Cm3 of the antibiotic enters the patient's bloodstream at a rate of 100 Cm3/hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.6 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.How much of the antibiotic is present in the bloodstream after a very long time? Round your answer to the nearest hundredth of a milligram.

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