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Half life of carbon-14 in my precalculus class?

4.) The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. The half -life of carbon-14 is 5730. How long ago was the mummy buried?

1 Answer

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  • ?
    Lv 7
    7 years ago

    0.5 = e^(-5730)k

    ln 2 = 5730 k

    k = 1/5730 ln 2

    1 - 0.59 = 0.41 = e^(-kT) where k = 1/5730 ln 2

    ln 0.41 = - k T

    - 1 / k ln (0.41) = T.

    plug & play

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