SOLUTION: Radioactive strontium-90 is used in nuclear reactors and decays according to A=Pe^-0.0248t where A is the amount remaining after t years. Find the time required for strontium-90 to

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Radioactive strontium-90 is used in nuclear reactors and decays according to A=Pe^-0.0248t where A is the amount remaining after t years. Find the time required for strontium-90 to      Log On


   



Question 688703: Radioactive strontium-90 is used in nuclear reactors and decays according to A=Pe^-0.0248t where A is the amount remaining after t years. Find the time required for strontium-90 to decay to 1/10 of the quantity present now?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Radioactive strontium-90 is used in nuclear reactors and decays according to A=Pe^-0.0248t
where A is the amount remaining after t years.
Find the time required for strontium-90 to decay to 1/10 of the quantity present now?
:
Let the initial amt (P) = 1; A = .1
1%2Ae%5E%28-.0248t%29+=+.1
natural log of e = 1, therefore we can write it
-.0248t = ln(.1)
t = ln%28.1%29%2F%28-.0248%29; use a calc
t ~ 93 years