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24 DETAILS This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.8% per

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24 DETAILS This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.8% per year. It is estimated that the population in 2010 was 12 million. (a) Find an exponential model n(t) = noe" for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimal places.) |million fish (c) After how many years will the fish population reach 16 million? (Round your answer to one decimal place.) (d) Sketch a graph of the fish population. n(t) n(t) (millions) (millions) 20 20 15 15 10 0 O 5 10 15 20 25 O 10 15 25 n(t) n(t) (millions) 20 (millions) 20 15 15 10 10 5 O 10 15 20 25 5 10 20 25

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