You go to the doctor and he gives you 16 milligrams of
radioactive dye. After 12 minutes, 7.5 milligrams of dye remain in
your system. To leave the doctor's office, you must pass through a
radiation detector without sounding the alarm. Suppose the detector
will sound the alarm if more than 2 milligrams of the dye are in
your system. How long will your visit to the doctor take, assuming
you were given the dye as soon as you arrived? Give your answer to
the nearest minute.
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