SOLUTION: The isotope Iluvmathium has a half life of 4 years. A sample contains 84 units of radioactive Iluvmathium. a)Write an exponential function to model the amount of Iluvmathium l

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Question 1156769: The isotope Iluvmathium has a half life of 4 years.
A sample contains 84 units of radioactive Iluvmathium.
a)Write an exponential function to model the amount of Iluvmathium left, y, after n, half lives.
b) What amount of Iluvmathium remains after 24 years, to one decimal place?

I have the answers and have solved these, Im just unsure if im correct

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
If you want n half-lives, p initial quantity at any reference time, y the quantity after n half-lives, then y=p%281%2F2%29%5En, and understand that n=1 is for 4 years.

Twenty-four years is 6 half-lives.
(b):
y=84%281%2F2%29%5E6--------compute this.