A radioactive isotope decays at a rate proportional to the amount of the isotope, in other words dAdt=kAdAdt=kA. The general solution to this differential equation is A=CektA=Cekt.The isotope Nobelium-259 has a half-life of 58 minutes.A) Determine the decay constant, k (Use 6 decimal places).    B) If there are 7.6 milligrams of the isotope at t = 0, how much will remain after 12 minutes?

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A radioactive isotope decays at a rate proportional to the amount of the isotope, in other words dAdt=kAdAdt=kA. The general solution to this differential equation is A=CektA=Cekt.

The isotope Nobelium-259 has a half-life of 58 minutes.

A) Determine the decay constant, k (Use 6 decimal places).    

B) If there are 7.6 milligrams of the isotope at t = 0, how much will remain after 12 minutes?

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