The amount of radioactive material present at time t is given by A =?0? ?? where ?0 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 if after 600 years, a sample has decayed to 85% of its original mass.

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6. The amount of radioactive material present at time t is given by
A =?0?
?? where ?0 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 if after
600 years, a sample has decayed to 85% of its original mass.

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