You go to the doctor and he gives you 15 milligrams of radioactive dye. After 12 minutes, 4.5 milligrams of dye remain in your system. To leave the doctor's office, you must p 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 your visit to the doctor take, uming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
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