SOLUTION: a dye is injected into the pancreas during a certain medical procedure. a physician injects 0.3 grams of the dye, and a healthy pancreas will secrete 4% of the dye each minute. pre

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Question 808481: a dye is injected into the pancreas during a certain medical procedure. a physician injects 0.3 grams of the dye, and a healthy pancreas will secrete 4% of the dye each minute. predict the amount of dye remaining, to the nearest hundredth of a gram, in a healthy pancreas 30 minutes of the injection
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This might best be understood as exponential decay, so that 4% of the REMAINING DYE is "secreted" every minute.

Amount remaining after every minute is the portion, 1-0.04=0.96 or 96%.

Initially 0.3 grams dye.
1 minute--------------------0.3%280.96%29 grams remaining
2 minutes-------------------0.3%280.96%29%280.96%29
.
n minutes------------------0.3%280.96%29%5En

We can say Q remaining dye after n minutes, Q=0.3%280.96%29%5En where n is how many minutes have passed.

Now, you just want to evaluate Q when n=30.