SOLUTION: Country A has a growth rate of 4.8​% per year. The population is currently 4,274​,000, and the land area of Country A is 20,000,000,000 square yards. Assuming this grow

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Question 1120704: Country A has a growth rate of 4.8​% per year. The population is currently 4,274​,000, and the land area of Country A is 20,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?
I have no clue how to start this. Can anyone help?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Country A has a growth rate of 4.8​% per year. The population is currently 4,274​,000, and the land area of Country A is 20,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?
I have no clue how to start this. Can anyone help?
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P(t) = 4,274,000*(1.048)^t
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Solve:: 4,274,000*1.048^t = 20,000,000
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1.048^t = 4.67946
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t = log(4.67946)/log(1.048)
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t = 32.9 yrs
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Cheers,
Stan H.
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