SOLUTION: A radioactive substance decays in such a way that the amount of mass remaining after T days is given by the function: m(T)=8e^(-0.098T) where m(T) is measured in gram

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Question 720787: A radioactive substance decays in such a way that the amount of mass remaining after T days is given by the function:
m(T)=8e^(-0.098T)
where m(T) is measured in gram.

a.) find the initial mass.
b.) how much of the mass remains after 30 days.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A radioactive substance decays in such a way that the amount of mass remaining after T days is given by the function:
m(T)=8e^(-0.098T) where m(T) is measured in grams.
a.) find the initial mass.
m(0) = 8^e^(0)
m(0) = 8 grams
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b.) how much of the mass remains after 30 days.
m(30) = 8*e^(-0.098*30) = 8*0.0529
m(30) = 0.4229 grams
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Cheers,
Stan H.
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