SOLUTION: A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 36 hours, 50 mg of the substance remains. How many milligrams will remain after 5
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Question 1055965: A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 36 hours, 50 mg of the substance remains. How many milligrams will remain after 52 hours ?
_________ mg
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 36 hours, 50 mg of the substance remains.
y = a*b^x
50 = 100*b^36
b = 0.5^(1/36)
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How many milligrams will remain after 52 hours ?
f(x) = 100*(0.5)^(x/36)
f(52) = 100*(0.5)^(52/36) = 36.74 mg
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
mg
mg
hrs
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Take the natural log of both sides
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36.75 mg remain after 52 hrs
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Hope I got it
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