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A research company started tracking the number of fish in a lake and noticed that the population was decreasing exponentially. After 3 months of tracking, there were 729 fish and after 6 months there were 27 fish. Use calculations and explanations to justify your answers to each of the following. a) How many fish were in the lake when the research company started tracking? b) How fast was the fish population changing after one year? c) When is the fish population decreasing at a rate of 89 fish/month?

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