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09-10-2016
Mathematics

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The half-life of radium is 1620 years. Find the constant k in the formula when the time is given in years. I am supposed to use y=Ce^kt I think.

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09-10-2016

[tex]e^{1620k}=0.5[/tex]
Taking natural logs of both sides, we get:
[tex]1620k=ln\ 0.5=-0.693[/tex]
[tex]k=\frac{-0.693}{1620}=-0.000428[/tex]

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