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A piece of wood discovered in an archaeological dig was found to have lost 62% of it's carbon-14. Carbon-14 has a half-life of 5630 years. Determine it's age.

  • Alg2 -

    I would use the equation

    amount = initialvalue(1/2)^(t/half-life)

    .62 = 1(1/2)^(t/5630)
    ln .62 = (t/5630)ln .5
    t/5630 = ln .62/ln .5 = .689659879
    t = 3882.785

    The age is appr. 3883 years

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