# algebra

posted by .

carbon 14 has a hlf life of 5700 years. scientists use this fact to determine the age of things made up of organic material. Suppose the average page of a book containing approximitly .5 mg og carbon 14 was put into a time capsule. How much carbon14 will each page contain after each of the following of years? a. 5700 b. 11400 c. 22800 d. 34200

• algebra -

If a(t) is the amount of C14 after t years,

a(t) = .05 * 2^(-t/5700)

do you see why this works? every 5700 years, the exponent of t decreases by 1, from 0 to -1 to -2, etc. making the multiplier 1, 1/2, 1/4, ...

a(5700) = .05*2^(-1) = .025
a(11400) = .05*2^(-2) = .0125
and so on

• algebra -

13300

## Similar Questions

1. ### Physics

Could someone help explain this problem to me . . . Carbon 14 has a half-life of 5700 year, scientist use this fact to determine the age of things made of organic material. Suppose the average page of a book containing aprox. 0.5mg …
2. ### College Algebra

Carbon-14 Dating. Only 10% of the carbon-14 in a samll wooden bowl remains. How old is the bowl?
3. ### 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)?
4. ### 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)?
5. ### Intro to Astronomy

The half-life of carbon 14, which is commonly used to date organic materials, is 5700 years. What is the minimum age of sample in which less than 1% of the organic carbon 14 is left?
6. ### 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)?
7. ### algebra

Scientists can determine the age of ancient objects by a method called radio carbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope 14C of carbon with a half-life of about 5710 …
8. ### Physics

(a)-A fossilised tree was tested and contains 10 grams of Carbon-14. Given that there was 12 grams of Carbon-14 present when it died, determine the age of the fossil?
9. ### Intermediate Maths

(a)-A fossilised tree was tested and contains 10 grams of Carbon-14. Given that there was 12 grams of Carbon-14 present when it died, determine the age of the fossil?
10. ### Final Maths

(a)-A fossilised tree was tested and contains 10 grams of Carbon-14. Given that there was 12 grams of Carbon-14 present when it died, determine the age of the fossil?

More Similar Questions