PreCalculus

posted by .

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Carbon-14 is a radioactive substance produced in the Earth's atmosphere and then absorbed by plants and animals on the surface of the earth. It has a half-life (the time it takes for half the amount of a sample to decay) of approximately …
  2. Precalculus

    The burial cloth of an Egyptian mummy is estimated to contain 57% of the carbon-14 it contained originally. How long ago was the mummy buried?
  3. Precalculus

    The burial cloth of an Egyptian mummy is estimated to contain 57% of the carbon-14 it contained originally. How long ago was the mummy buried?
  4. half-life

    ok so i got... the half life of carbon-14 is 5730 years, the relation c+(1/2)^ N/5730 is used to calc. the concentration, c, in parts per trillion remaining n years after death determine the carbon concentration in a 11460 year old …
  5. half-life

    ok so i got... the half life of carbon-14 is 5730 years, the relation c+(1/2)^ N/5730 is used to calc. the concentration, c, in parts per trillion remaining n years after death determine the carbon concentration in a 11460 year old …
  6. math: pre-calculus

    You have 5 grams of carbon-14; whose half-life is 5730 years. a)Write the rule of the function that gives the amount of carbon-14 remaining after x years. b)How much carbon-14 will be left after 4,000 years?
  7. science

    The half-life of carbon-14 is 5730 years. If we start with 10 grams of carbon-14, after 5730 years, we will have _____ of carbon-14 left.
  8. Math

    Cosmic ray bombardment of the atmosphere produces neutrons, which in turn react with nitrogen to produce radioactive carbon-14. Radioactive carbon-14 enters all living tissue through carbon dioxide (via plants). As long as a plant …
  9. Math

    Cosmic ray bombardment of the atmosphere produces neutrons, which in turn react w/ nitrogen to produce radioactive carbon-14. Radioactive carbon-14 enters all living tissue through carbon dioxide. As long as it is alive, carbon-14 …
  10. Help Please. Math

    By comparing the amount of carbon-14 to amount of carbon-12, one can determine approx how long ago the organism died. The half-life of carbon-14 is 5730 years. Assume the initial quantity of carbon-14 is 600 milligrams. the equation …

More Similar Questions