There are initially 11 milligrams per deciliter of a drug in the bloodstream of a patient. The concentration of the drug decays exponentially with hourly decay factor 0.91.
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A: Using C for the concentration, in milligrams per deciliter, of the drug after t hours, write a formula that gives the value of C after t hours.
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B: What is the concentration after 4 hours? Round your answer to two decimal places.
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C: Plot the graph of C versus t over the first 20 hours.
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D: What is the half-life of the drug? That is, how long will it take for the concentration to reach half of its initial level? Round your answer to two decimal places.
What will be an ideal response?
A:
B: 7.54 milligrams per deciliter.
C:
B: 7.54 milligrams per deciliter.
C:
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D: 7.35 hours
Mathematics
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