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No shown work required, just please circle answers and make legible/easy to read For this question, answer a, b, and C below The concentration of

No shown work required, just please circle answers and make legible/easy to read

For this question, answer a, b, and C below

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The concentration of a drug in the body decreases exponentially after a dosage is given. In one clinical study, adult subjects averaged 14 micrograms/milliliter (mcg/mL) of the drug in their blood plasma 1 hr after a 1000-mg dosage and 3 micrograms/milliliter 4 hr after dosage. a) Find the value k, and write an equation for an exponential function that can be used to predict the concentration of the drug, in micrograms/milliliter, t hours after a 1000-mg dosage. b) Estimate the concentration of the drug 2 hr after a 1000-mg dosage. c) To relieve a fever, the concentration of the drug should go no lower than 3 mcg/mL. After how many hours will a 1000-mg dosage drop to that level?The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 102 e 0.04t for Betaburgh, where t is the number of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 5000, and Betaburgh had a population of 3000. Answer parts a) through c).The population of a country dropped from 51.3 million in 1995 to 45.4 million in 2007. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a) Find the value of k, and write the equation. b) Estimate the population of the country in 2015. c) After how many years will the population of the country be 1 million, according to this model

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