SOLUTION: A radio active isotope decays according to the exponential decay equation where t is in days.
Round to the thousandths place.
For the half life: The half life is the solution (
Algebra.Com
Question 981571: A radio active isotope decays according to the exponential decay equation where t is in days.
Round to the thousandths place.
For the half life: The half life is the solution (t) of the equation :
a2=ae^−4.132t
Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a=ao e ^(-4.132 t)
a=(1/2) ao
Therefore
(1/2)=e^(-4.132 t)
ln of both sides
-0.693= -4.132 t
divide by (-4.132)
t=0.1677 days
check
-4.132*0.1677=-0.6929
e^-0.6929=0.5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is a mathematics website. Yours is a Physics problem.
John

My calculator said it, I believe it, that settles it
RELATED QUESTIONS
A radio active isotope decays according to the exponential decay equation where t is in... (answered by solver91311,Alan3354)
A radio active isotope decays according to the exponential decay equation where t is in... (answered by Cromlix)
A radio active isotope decays according to the exponential decay equation where t is in... (answered by Cromlix)
A radio-active element decays exponentially and the expression is given by :... (answered by Alan3354)
Use the exponential decay equation, where A is the amount of a radioactive material... (answered by ankor@dixie-net.com)
a certain radio active isotope decays at a rate of .2% annually. Determine the half life... (answered by scott8148)
How long will it take any quantity of iodine 131 to decay to 25% of its initial amount,... (answered by Boreal)
How long will it take any quantity of iodine 131 to decay to 25% of its initial amount,... (answered by nerdybill)
A particular compound decays according to the equation y=ae^(-0.974t), where t is in... (answered by fractalier)