Math

The population of New York doubles during the workday. At the end of the workday, the population decreases by half. If the population in New York City is roughly 4,000,000 people before rush hour, and the morning rush hour lasts 3 hours, what would be the population if the rush-hour growth rate continued for 12 hours instead of 3? People leave the city for home at the same rate as they come into the city. What would be the population if the decay rate continued for 12 hours at the end of the day when everyone gets home?

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