The amount of carbon 14 present after t years is given by the exponential equation A(t)=A0ekt​, with k=−ln2/5600. Using carbon 14 dating of charcoal found along with fossilized leaf​ fragments, botanists arrived at an age of 37,000 years for a plant. What percent of the original carbon 14 in the charcoal was​ present?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 1SE: With what kind of exponential model would half-life be associated? What role does half-life play in...
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The amount of carbon 14 present after t years is given by the exponential equation

A(t)=A0ekt​,

with

k=−ln2/5600.

Using carbon 14 dating of charcoal found along with fossilized leaf​ fragments, botanists arrived at an age of

37,000

years for a plant. What percent of the original carbon 14 in the charcoal was​ present?

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