You go to the doctor and he gives you 13 milligrams of radioactive dye. After 12 minutes, 5.25 milligrams of dye remain

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You go to the doctor and he gives you 13 milligrams of radioactive dye. After 12 minutes, 5.25 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 your visit to the doctor take, 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.
At the beginning of an experiment, a scientist has 208 grams of radioactive goo. After 165 minutes, her sample has decayed to 13 grams. What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t) = How many grams of goo will remain after 59 minutes? You may enter the exact value or round to 2 decimal places.
A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the baterial population after 20 minutes. 3174.49 Find the size of the baterial population after 9 hours. 522900868.215
The doubling period of a bacterial population is 10 minutes. At time t = 120 minutes, the bacterial population was 50000. What was the initial population at time t = 0? Find the size of the bacterial population after 5 hours.
The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 13300. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)