A biologist has determined that the maximum number of fruit flies that can be sustained in a carefully controlled environment (with a limited supply of space and food) is 500. Suppose that the rate at which the population of the colony increases obeys the rule where C is the carrying capacity (500) and Q denotes the number of fruit flies in the colony at any time t. If the initial population of fruit flies in the experiment is 20 and it grows to 35 after 20 days, determine the population of the colony of fruit flies on the 50th day. Round the answer to the nearest integer. __________ flies
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