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An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.

  • algebra -

    .84 = 1(.5)^(t/5730)
    ln .84 = ln (.5^(t/5730) )
    ln .84 = (t/5730) ln .5
    t/5730 = ln .84/ln .5 = .251538767
    t = 1441.317

    to the nearest 100 years it would be 1400 years

  • algebra -

    where did you get ,5 from?

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