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

Algebra ->  Exponential-and-logarithmic-functions -> 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      Log On


   



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.
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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
e%5E%28-0.0248t%29+=+.5
ln%28e%5E%28-0.0248t%29%29+=+ln%28.5%29
:
log equiv of exponents
-.0248t*ln(e) = ln(.5)
:
ln of e =1, find ln of .5, so we have
-.0248t = -.693
t = %28-.693%29%2F%28-.0248%29
t = 27.949 ~ 28 years is the half life of Strontium-90