a) Use the equation A(t) = Aoekt to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (Round k to 6 decimal places or enter an exact value for k.) A(t) = b) What percentage of an original amount of Carbon-14 is left after 24, 000 years? (Round answer to the nearest tenth of a percent) % is left after 24, 000 years c) If an old wooden tool found in a cave contains 44 % of the original amount, approximately how old is the tool, within 10 years? Approximately years old Extension: Radiocarbon dating is not as easy as these exercises might lead you to believe. Research radiocarbon dating and consider discussing with your classmates or instructor why our model is somewhat oversimplified.
a) Use the equation A(t) = Aoekt to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (Round k to 6 decimal places or enter an exact value for k.) A(t) = b) What percentage of an original amount of Carbon-14 is left after 24, 000 years? (Round answer to the nearest tenth of a percent) % is left after 24, 000 years c) If an old wooden tool found in a cave contains 44 % of the original amount, approximately how old is the tool, within 10 years? Approximately years old Extension: Radiocarbon dating is not as easy as these exercises might lead you to believe. Research radiocarbon dating and consider discussing with your classmates or instructor why our model is somewhat oversimplified.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Transcribed Image Text:The half-life of the radioactive isotope Carbon-14 (present in all organic materials) is about 5730 years.
a) Use the equation A(t) = Ageht to express the amount of Carbon-14 left from an initial N milligrams as
a function of time t in years. (Round k to 6 decimal places or enter an exact value for k.)
A(t)
=
b) What percentage of an original amount of Carbon-14 is left after 24, 000 years? (Round answer to the
nearest tenth of a percent)
% is left after 24,000 years
c) If an old wooden tool found in a cave contains 44 % of the original amount, approximately how old is
the tool, within 10 years?
Approximately
years old
Extension: Radiocarbon dating is not as easy as these exercises might lead you to believe. Research
radiocarbon dating and consider discussing with your classmates or instructor why our model is somewhat
oversimplified.
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