SOLUTION: The effectiveness of a drug is given by the formula N=250e-a/100 t where N is the number of effective particles and t is the time in years. Plot a graph of N againsr t from o to 5

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Question 821496: The effectiveness of a drug is given by the formula N=250e-a/100 t where N is the number of effective particles and t is the time in years. Plot a graph of N againsr t from o to 5 years. Determine by calculation the half life of the drug ( the time it takes for the drug to have half the original number of effective particles)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The effectiveness of a drug is given by the formula N=250e^((-a/100)t) where N is the number of effective particles and t is the time in years. Plot a graph of N againsr t from o to 5 years. Determine by calculation the half life of the drug ( the time it takes for the drug to have half the original number of effective particles)
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Note: Can't plot a graph with that "a" in the formula.
Have to know what "a" is.
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N(2) = 250e^((-a/100)t)
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Solve e^(-a/100)t = 1/2
Take the natural log of both sides::
(-a/100)t = ln(1/2)
Note: Can't solve that with that "a" in there.
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Cheers,
Stan H.
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