SOLUTION: In a certain city a birth occurs on the average every 24 minutes and a death every half hour. A resident moves out of the city every 1.5 hours and a new person moves into the city

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Question 396952: In a certain city a birth occurs on the average every 24 minutes and a death every half hour. A resident moves out of the city every 1.5 hours and a new person moves into the city every 4.5 hours. How long does it take on the average for the population to increase by 1 person? Please help me!
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a certain city a birth occurs on the average every 24 minutes and a death every half hour. A resident moves out of the city every 1.5 hours and a new person moves into the city every 4.5 hours. How long does it take on the average for the population to increase by 1 person? Please help me!
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How many births in a day? 60
How many arrive in a day? 5 1/3
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Total in 24 hrs: 60 1/3
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How many deaths in a day? 48
How many leave in a day? 16
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Total in 24 hrs: 64
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So you have a gain of 1 1/3 in 24 hrs.
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When do you have a gain of 1 person?
Solve (4/3)/24 = 1/x
(4/3)x = 24
x = 18 hrs.
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Every 18 hrs. the town gains one person.
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Cheers,
Stan H.

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