Use the exponential decay model, A = Agett, to solve Exercises 28-31. Round answers to one decimal place. 28. The half-life of thorium-229 is 7340 years. How long will it take for a sample of this substance to decay to 20% of its original amount? 29. The half-life of lead is 22 years. How long will it take for a sample of this substance to decay to 80% of its original amount? 30. The half-life of aspirin in your bloodstream is 12 hours. How long will it take for the aspirin to decay to 70% of the original dosage? 31. Xanax is a tranquilizer used in the short-term relief of symptoms of anxiety. Its half-life in the bloodstream is 36 hours. How long will it take for Xanax to decay to 90% of the original dosage?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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Use the exponential decay model, A = Agett, to solve
Exercises 28-31. Round answers to one decimal place.
28. The half-life of thorium-229 is 7340 years. How long will it
take for a sample of this substance to decay to 20% of its
original amount?
29. The half-life of lead is 22 years. How long will it take for a
sample of this substance to decay to 80% of its original
amount?
30. The half-life of aspirin in your bloodstream is 12 hours. How
long will it take for the aspirin to decay to 70% of the original
dosage?
31. Xanax is a tranquilizer used in the short-term relief of
symptoms of anxiety. Its half-life in the bloodstream is
36 hours. How long will it take for Xanax to decay to 90% of
the original dosage?
Transcribed Image Text:Use the exponential decay model, A = Agett, to solve Exercises 28-31. Round answers to one decimal place. 28. The half-life of thorium-229 is 7340 years. How long will it take for a sample of this substance to decay to 20% of its original amount? 29. The half-life of lead is 22 years. How long will it take for a sample of this substance to decay to 80% of its original amount? 30. The half-life of aspirin in your bloodstream is 12 hours. How long will it take for the aspirin to decay to 70% of the original dosage? 31. Xanax is a tranquilizer used in the short-term relief of symptoms of anxiety. Its half-life in the bloodstream is 36 hours. How long will it take for Xanax to decay to 90% of the original dosage?
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