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? asked in Science & MathematicsMathematics · 8 years ago

Uninhibited growth and decay?

1.)

Archeologists working near a seasonal Native American encampment is People's Park along the Spokane River uncovered an ancient marmot den, containing the ancient remains of one of Spokane's unofficial mascots. It was determined that the bones contained 37.1% of the original amount of carbon 14. If the half-life of carbon 14 is 5730 years, how old are these remains.

Im just having a ton of trouble with these problems.

1 Answer

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  • M3
    Lv 7
    8 years ago
    Favorite Answer

    fraction remaining, f = 0.5^(t/h) , where h is the half-life

    0.371 = 0.5^(t/5730)

    (t/5730)*ln 0.5 = ln 0.371

    t = 5730*ln 0.371/ln 0.5 = 8197 yrs <------

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