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

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) (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
----------------------
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
=========================
Cheers,
Stan H.
=========================
RELATED QUESTIONS
a radioactive substance decays in such a way that the amount of mass remaining after t... (answered by josgarithmetic)

A radioactive substance decays in such a way that the amount of mass remaining after t... (answered by lwsshak3)

A radioactive substance decays in such a way that the amount of mass remaining after t... (answered by josgarithmetic)

A radioactive substance decays in a way that the amount of mass remaining after (t) days... (answered by ankor@dixie-net.com)

A radioactive substance decays in such a way that the amount of mass remaining after t... (answered by Nate)

Certain radioactive material decays in such a way that the mass remaining after t years... (answered by josgarithmetic)

problem: Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland... (answered by josgarithmetic)

A 15 g sample of radioactive iodine decays in such a way that the mass remaining after t (answered by ikleyn,josgarithmetic)

Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. (answered by ankor@dixie-net.com)