Any chemical element known to human being breaks down and gradually disappears over time, known as decay. The breaking down process is modeled by an exponential function, hence, a decay is commonly referred to as an exponential decay. Americium-243 has an exponential decay given by P(t) = Poe-9.405E-5t where Po is the amount initially present (in grams), and t is time (in years) after the decay started. Starting with 4.25 grams of Americium-243 to decay. A) Find how much of Americium-243 remains after 80 years, that is P(80). P(80) B) Find how much of Americium-243 remains after 1800 years, that is P(1800). P(1800) grams. Round your answer to 2 decimal places. C) Find rate of decay of Americium-243 at 80 years after the initial amount, that is P'(80). grams/yr. Round your answer to 10 decimal places. D) Find rate of decay of Americium-243 at 1800 years after the initial amount, that is P'(1800). P'(1800) grams/yr. Round your answer to 10 decimal places. P'(80) grams. Round your answer to 2 decimal places.

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