University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 7 - Section 7.2 - Exponential Change and Separable Differential Equations - Exercises - Page 411: 47


54.62 %

Work Step by Step

The half-life for carbon is 5730 years. so, $k=\dfrac{\ln 2}{5730}$ $C=C_0e^{-\dfrac{\ln 2}{5730}t}$ Now, at $t=5000$ $C=C_0e^{-\dfrac{\ln 2}{5730}(5000)}$ so, $C \approx 0.5462 C_0$ This means that 54.62 % of carbon-14 remained in Otzi at the time of discovery in 1991.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.