SOLUTION: Radioactive strontium-90 is used in nuclear reactors and decays according to A = Pe^-0.0248t where P is the amount at t = 0, and A is the amount remaining after t years. Find the h

Question 944489: Radioactive strontium-90 is used in nuclear reactors and decays according to A = Pe^-0.0248t where P is the amount at t = 0, and A is the amount remaining after t years. Find the half-life of strontium-90; that is, find t so that A=0.5P.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Radioactive strontium-90 is used in nuclear reactors and decays according to A = Pe^-0.0248t where P is the amount at t = 0, and A is the amount remaining after t years.
Find the half-life of strontium-90; that is, find t so that A=0.5P.
:
assume P = 1 and A = .5

:
log equiv of exponents
-.0248t*ln(e) = ln(.5)
:
ln of e =1, find ln of .5, so we have
-.0248t = -.693
t =
t = 27.949 ~ 28 years is the half life of Strontium-90

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