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22 May, 23:02

How old is a bone if it still has 50% of its carbon-14 content?

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  1. 23 May, 00:56
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    5730 years

    Explanation:

    The half life of carbon-14 is 5730 years. If 50% of the carbon-14 remains, then exactly 1 half life has passed.

    The half-life equation is:

    A = A₀ (½) ^ (t / T)

    where A is the remaining amount,

    A₀ is the initial amount,

    t is time,

    and T is the half life.

    In this case, A = ½ A₀ and T = 5730.

    ½ A₀ = A₀ (½) ^ (t / 5730)

    ½ = (½) ^ (t / 5730)

    1 = t / 5730

    t = 5730
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