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anonymous
 5 years ago
A 40 gram sample of a radioactive isotope decays at a rate of 2.5% annually. What is the exponential function that models the decay? What is the half life of this isotope? How much will be present after 65 years?
anonymous
 5 years ago
A 40 gram sample of a radioactive isotope decays at a rate of 2.5% annually. What is the exponential function that models the decay? What is the half life of this isotope? How much will be present after 65 years?

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dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0\[P _{t} = P _{0} (1r)^{kt}\] P0 = 40 r = 0.025 k = constant t = time

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0in this case k=1 for half life set Pt = 20 and solve for t

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how exactly would you do that?

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0use logs \[20 = 40(.975)^{t}\] \[\frac{\log_{} (1/2) }{\log_{} (0.975)} = t\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i dont quite understand
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