An unknown radioactive element decays into non-radioactive substances. In 340 days the radioactivity of a sample decreases by 71 percent. (a) What is the half-life of the element? half-life: (days) Round to two decimal places. (b) How long will it take for a sample of 100 mg to decay to 76 mg? time needed: (days) Round to two decimal places.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter4: Exponential And Logarithmic Functions
Section4.6: Modeling With Exponential Functions
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An unknown radioactive element decays into non-radioactive substances. In 340340 days the radioactivity of a sample decreases by 7171 percent.

(a) What is the half-life of the element?
half-life:    (days)
Round to two decimal places.

(b) How long will it take for a sample of 100100 mg to decay to 7676 mg?
time needed:    (days)
Round to two decimal places.

An unknown radioactive element decays into non-radioactive substances. In 340 days the radioactivity of a
sample decreases by 71 percent.
(a) What is the half-life of the element?
half-life:
(days)
Round to two decimal places.
(b) How long will it take for a sample of 100 mg to decay to 76 mg?
time needed:
(days)
Round to two decimal places.
Submit Question
Transcribed Image Text:An unknown radioactive element decays into non-radioactive substances. In 340 days the radioactivity of a sample decreases by 71 percent. (a) What is the half-life of the element? half-life: (days) Round to two decimal places. (b) How long will it take for a sample of 100 mg to decay to 76 mg? time needed: (days) Round to two decimal places. Submit Question
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