SOLUTION: the number of grams of a certain radioactive substance present after t hours is given by the equation Q=Q(0)e^-0.45t, where Q(0) represents the initial number of grams. how long wi
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Question 684727: the number of grams of a certain radioactive substance present after t hours is given by the equation Q=Q(0)e^-0.45t, where Q(0) represents the initial number of grams. how long will it take 2500 grams to be REDUCED to 1250 grams? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the number of grams of a certain radioactive substance present after t hours is given by the equation Q=Q(0)e^-0.45t, where Q(0) represents the initial number of grams. how long will it take 2500 grams to be REDUCED to 1250 grams?
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Solve for "t":
1250 = 2500*e^(-0.45t)
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e^(-0.45t) = 0.5
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Take the log of both sides:
-0.45t = ln(0.5) = -0.6931
t = 1.54 hours
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Cheers,
Stan H.
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