A certain radioactive isotope has leaked into a small stream. Two hundred days after the leak, 15% of the original amount of the substance remained. Determine the half-life of this radioactive isotope.

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A certain radioactive isotope has leaked into a small stream. Two hundred days after the leak, 15% of the original amount of the substance remained. Determine the half-life of this radioactive isotope.

Algebra
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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the fundamental decay equation is: \( N(t) = N_0 e^{- k t}\) the steps: find k from the first data point, viz \(N(200) = 0.15 N_o = N_0 e^{- k( 200)}\) then, use same equation to calc half life \(T\): \(N(T) = 0.5 * N_o = N_o e^{-k T}\)
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