algebra

An artifact was found and tested for its carbon-14 content. If 75% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)

thank you

  1. 1
asked by gary
  1. amount = initial (.5)^(t/5730)

    .75 = 1 (.5)^(t/5730)
    log .75 = (t/5730) log .5
    t/5730 = log .75/log .5 = .415...
    t = 2378.16

    age is about 2400 years to the nearest century

    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    An artifact was found and tested for its carbon-14 content. If 76% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)
  2. math

    An artifact was found and tested for its carbon-14 content. If 88% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.
  3. math

    An artifact was found and tested for its carbon-14 content. If 81% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years. yr
  4. Algebra

    An artifact was found and tested for its carbon-14 content. If 75% of the original carbon-14 was still present what is its probable age to the nearest 100 years?. carbon -14 has a half-life of 5,730 years.
  5. algebra

    An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.
  6. Can some guide me

    An artifact was found and tested for its carbon-14 content. If 71% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)
  7. algebra

    An artifact was found and tested for its carbon-14 content. If 79% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.
  8. math

    An artifact was found and tested for its carbon-14 content. If 76% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)
  9. applied algebra

    An artifact was found and tested for its carbon-14 content. If 74% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years. 1 yr
  10. Homework test

    An artifact was found and tested for its carbon-14 content. If 70% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.

More Similar Questions