Radioactive decay can be described by the following equation In A = In Ao – kt where A, is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope phosphorus-32, k is 4.85 × 10-² days. If the original amount of phosphorus-32 in a sample is 37.9 mg, how much time is needed for the amount of phosphorus-32 that remains to fall to 24.9 mg? days

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter4: Exponential And Logarithmic Functions
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Radioactive decay can be described by the following equation
In A = In Ao – kt
where A, is the original amount of the substance, A is the amount of the substance
remaining after timet, and k is a constant that is characteristic of the substance.
For the radioactive isotope phosphorus-32, k is 4.85 x 10- days.
If the original amount of phosphorus-32 in a sample is 37.9 mg, how much time is needed
for the amount of phosphorus-32 that remains to fall to 24.9 mg?
days
Transcribed Image Text:Radioactive decay can be described by the following equation In A = In Ao – kt where A, is the original amount of the substance, A is the amount of the substance remaining after timet, and k is a constant that is characteristic of the substance. For the radioactive isotope phosphorus-32, k is 4.85 x 10- days. If the original amount of phosphorus-32 in a sample is 37.9 mg, how much time is needed for the amount of phosphorus-32 that remains to fall to 24.9 mg? days
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