A storage tank contains a liquid radioactive element with a half-life of 92 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe? CEN The tank must remain intact for years. (Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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A storage tank contains a liquid radioactive element with a half-life of 92 years. It will be relatively safe for the contents to
leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage
procedure to be safe?
CELEB
The tank must remain intact for
years.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as
needed.)
Transcribed Image Text:A storage tank contains a liquid radioactive element with a half-life of 92 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe? CELEB The tank must remain intact for years. (Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
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