A small country that had 2 million people living in it in 1990 has experienced an...

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A small country that had 2 million people living in it in 1990 has experienced an average population growth of 3.5% per year since 1990. a) Write an equation that models the population, P, in millions, as a function of the number of years, n, since 1990. b) Use your equation to determine the population in 2030, to the nearest tenth of a million. 13. A can of energy drink contains about 150 mg of caffeine. Every 4 hours, the mass of caffeine in an adult's bloodstream reduces by half. While studying for a test, Roger drank a can of Red Bull at 11:00 PM last night. Use an exponential function to determine the mass of caffeine in Roger's bloodstream at today. 7am 14. The value of a car after it is purchased depreciates according to the formula V(n) 28000(0.925)", where V(n) is the car's value in dollars, after a number of years, n. (3 marks) a) What is the annual rate of depreciation, as a percentage? = b) What is the car's value at the end of 32 months? Round to the nearest cent. c) How long will it take for the car to reach half its original value? Write an equivalent exponential equation using half-life. X 15. Explain why the graph of y = () is a reflection in the y axis compared to the graph of y 2. A small country that had 2 million people living in it in 1990 has experienced an average population growth of 3.5% per year since 1990. a) Write an equation that models the population, P, in millions, as a function of the number of years, n, since 1990. b) Use your equation to determine the population in 2030, to the nearest tenth of a million. 13. A can of energy drink contains about 150 mg of caffeine. Every 4 hours, the mass of caffeine in an adult's bloodstream reduces by half. While studying for a test, Roger drank a can of Red Bull at 11:00 PM last night. Use an exponential function to determine the mass of caffeine in Roger's bloodstream at today. 7am 14. The value of a car after it is purchased depreciates according to the formula V(n) 28000(0.925)", where V(n) is the car's value in dollars, after a number of years, n. (3 marks) a) What is the annual rate of depreciation, as a percentage? = b) What is the car's value at the end of 32 months? Round to the nearest cent. c) How long will it take for the car to reach half its original value? Write an equivalent exponential equation using half-life. X 15. Explain why the graph of y = () is a reflection in the y axis compared to the graph of y 2.