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It is known that the number of fish in a given lake will decrease by 7% each year unless some new fish are added. At the end of each year, 250 new fish are added to the lake. At the start of 2018 there are 2500 fish in the lake. a). Show that there will be approximately 2645 fish in the lake at the start of 2020. b) Find the number of fish at the start of year 2042.