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An artifact was found and tested for its carbon-14 content. If 75% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)

thank you

  • algebra -

    amount = initial (.5)^(t/5730)

    .75 = 1 (.5)^(t/5730)
    log .75 = (t/5730) log .5
    t/5730 = log .75/log .5 = .415...
    t = 2378.16

    age is about 2400 years to the nearest century

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