Question: Growth Formula: y = a (1 + r)t Decay Formula: y = a (1 - r)t where a = original number; r = rate (%

Growth Formula: y = a (1 + r)t Decay Formula: y = a (1 - r)t where a = original number; r = rate (% in decimal form); t = time periods

Write an exponential function to model each situation. Find each amount at the end of the specified time. Round your answers to the nearest whole number.

A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present. How much of the substance remains after 30 years (to the nearest tenth)? When will the amount of the substance drop to below 20 grams (to the nearest year)?

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