SOLUTION: Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders.
This type of iodine decays in such a way that the mass remaining after t days is given by
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This type of iodine decays in such a way that the mass remaining after t days is given by
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Question 1070259: Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders.
This type of iodine decays in such a way that the mass remaining after t days is given by the function
m(t) = 6e
−0.087t
where m(t) is measured in grams.
A) Find the initial mass (mass at time t = 0).
B) Find the half-life. Leave the answer in exact form Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! This type of iodine decays in such a way that the mass remaining after t days is given by the function
where m(t) is measured in grams.
A) Find the initial mass (mass at time t = 0).
when t-0 we have e^0 which is equal to 1, therefore
Initial mass is 6
:
B) Find the half-life. Leave the answer in exact form
divide both sides by 6
using natural logs, the log equiv of exponents is
-.087t*ln(e) = ln(.5)
the ln of e is 1, find the ln of .5
-.087t = -.693
t =
t = 7.9672 days
