Question: Sarah Greene is running for mayor. Polls indicate that the fraction of those who support her t weeks after first learning of her candidacy is given by \(f\left( t \right)={{e}^{-0.03t}}\). At the time she declared her candidacy, 25,000 people supported her, and new converts are being added at the constant rate of 100 people per week. Approximately how many people are likely to vote for her if the election is held 20 weeks from the day she entered the race?

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