You go to the doctor and he gives you 13 milligrams of radioactive dye which decays exponentially. After 20 minutes, 5.5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will you have to remain at the doctor's office, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend minutes at the doctor's office.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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You go to the doctor and he gives you 13 milligrams of radioactive dye which decays exponentially. After 20
minutes, 5.5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a
radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2
milligrams of the dye are in your system, how long will you have to remain at the doctor's office, assuming
you were given the dye as soon as you arrived? Give your answer to the nearest minute.
You will spend
minutes at the doctor's office.
Transcribed Image Text:You go to the doctor and he gives you 13 milligrams of radioactive dye which decays exponentially. After 20 minutes, 5.5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will you have to remain at the doctor's office, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend minutes at the doctor's office.
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