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PreCalculus

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The half life of Carbon-14 is 5730 years.

a. find the rule of the function that gives the amount remaining from an initial quantity of 100 milligrams of carbon14 after t years.

b. the burial cloth of an egyptian mummy i sestimated to contain 59% of the carbon 14 it contained originally. how long ago was the mummy buried?

  • PreCalculus - ,

    amount = 100 (1/2)^(t/5730)

    b)
    59 = 100 (.5)^(t/5730)
    .59 = .5^(t/5730)
    ln .59 = (t/5730) ln (.5)
    t/5730 = ln .59/ln .5 = .76121314
    t = 4361.75 yrs

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