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) = 14e^−0.019t where m(t) is measured in kilograms.

Question 911478: A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t) = 14e^−0.019t where m(t) is measured in kilograms.
(a) Find the mass at time t = 0.
____kg
(b) How much of the mass remains after 44 days? (Round your answer to one decimal place.)
____kg
Answer by lwsshak3(11628) (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) = 14e^−0.019t where m(t) is measured in kilograms.
(a) Find the mass at time t = 0.
m(0)=14e^-0.019(0)=14e^0
m(0)=14 kg
..
(b) How much of the mass remains after 44 days? (Round your answer to one decimal place.)
m(44)=14e^-0.019(44)
=14e^-.836
using calculator:
m(44)=6.1 kg

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 josgarithmetic)

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

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)

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) = 14e^&#8722;0.019t where m(t) is measured in kilograms.

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) = 14e^−0.019t where m(t) is measured in kilograms.