0.2 Exponential Decay Suppose a radioactive substance decays at a continuous rate proportional to the amount of the radioactive substance present. We can use the following formula to model the radioactive decay. Q(t) = Qo ext where Q(t) is the remaining quantity of the substance at time t, Qo is the initial quantity of the substance, and A is the decay constant. (a) If the substance has a half-life of 5 years (half-life is the time for half of the amount of material to decay) find the value of A. Show your work. (b) If the initial mass of the substance is 80 grams, how much of the substance will remain after 18 years? Show all of your work.

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