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The burial cloth of an Egyptian mummy is estimated to contain 58% of the carbon-14 it contained originally. Ho?

The burial cloth of an Egyptian mummy is estimated to contain 58% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest ten years.) please give the answer in years

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  • Nick
    Lv 6
    8 years ago

    We need to find the rate of decay (r) first:

    A=pe^(rt)

    .5=(1)e^(5730r)

    .5=e^(5730r)

    ln.5=ln(e^(5730r))

    ln.5=5730r

    r=(ln.5)/5730

    r=-.000120968

    A=pe^(rt)

    .58=(1)e^(-.000120968t)

    .58=e^(-.000120968t)

    ln.58=lne^(-.000120968t)

    ln.58=-.000120968t

    t=(-ln.58)/.000120968

    t=4503

    t=4500

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