2. Exponential Decay The amount of radioactive material present at time t is given by A = Aoekt, where Ao is the initial amount, k<0 is the rate of decay. Radioactive substances are more commonly described in terms of their half-life or the time required for half of the substance to decompose. Determine the half-life of substance X f after 600 years, a sample has decayed to 85% of its original mass.

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A: Nr=No12rr2Nr=quantity of substance remainingNo=initial quantityr=rime flowr12=half life