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A rancher is selling off 7% of her ranch each year. If she owns 2000 square miles, in about how many years will she
A rancher is selling off 7% of her ranch each year. If she owns 2000 square miles, in about how many years will she own only 600 square miles? If she starts with 100% of the land and sells 7%, she will have 93% of the land left. After n years, she will have 2000(0.93)" of the land left. 600 = 2000(0.93)" 0.3 = 0.937 log 0.3 = log 0.93" log 0.3 = n log0.93 log 0.3 log 0.93 log 0.3 0.93 = n = n -0.49 = n A negative value does not make sense. The rancher will never have only 600 square miles of land.
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