Families in the southwest corner of Philadelphia have a phone tree to alert each other of breaking news. Each person calls two others. Each call takes a minute and everyone is always home. In the first minute 1 person is contacted. In the second minute the first person calls a second person. In the third minute the first and second persons each call someone, so 2 are added. In the fourth minute 3 new persons are reached, in the fifth minute 5 new persons are reached and in the 6th minute 8 new persons are reached. At that rate, how many persons will be reached in the 10th minute, and for a bonus, how many minutes would it take to reach all 540,000 households in the city?
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