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.

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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):
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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

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.