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The age of a bone can be determined from the fraction of carbon-14 that remains in the bone. The age is calculated by using the formula A=-19 000(log R), where A is the age in years and R is the fraction of carbon-14 remaining. a) How old is a bone that has only of its original carbon-14? b) How old is a bone that has only 15% of its original carbon-14? c) Express the formula in exponential form. d) Use your answer to part c) to calculate the percent of carbon-14 remaining in a bone from an animal that died 200 years ago.

The age of a bone can be determined from the fraction of carbon-14 that remains in the bone. The age is calculated by using the formula A=-19 000(log R), where A is the age in years and R is the fraction of carbon-14 remaining. a) How old is a bone that has only of its original carbon-14? b) How old is a bone that has only 15% of its original carbon-14? c) Express the formula in exponential form. d) Use your answer to part c) to calculate the percent of carbon-14 remaining in a bone from an animal that died 200 years ago.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The age of a bone can be determined from the fraction of carbon-14 that remains in the bone. The age is calculated by using the formula A=-19 000(log R), where A is the age in years and R is the fraction of carbon-14 remaining. a) How old is a bone that has only of its original carbon-14? b) How old is a bone that has only 15% of its original carbon-14? c) Express the formula in exponential form. d) Use your answer to part c) to calculate the percent of carbon-14 remaining in a bone from an animal that died 200 years ago.
Transcribed Image Text:The age of a bone can be determined from the fraction of carbon-14 that remains in the bone. The age is calculated by using the formula A=-19 000(log R), where A is the age in years and R is the fraction of carbon-14 remaining. a) How old is a bone that has only of its original carbon-14? b) How old is a bone that has only 15% of its original carbon-14? c) Express the formula in exponential form. d) Use your answer to part c) to calculate the percent of carbon-14 remaining in a bone from an animal that died 200 years ago.
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