In 1940 a county land-use survey showed that 10% of the county land wasurban, 50% was unused, and 40% was agricultural. Five years later a follow-up survey revealed that 70% of the urban land had remained urban, 10%had become unused, and 20% had become agricultural. Likewise, 20% of theunused land had become urban, 60% had remained unused, and 20% hadbecome agricultural. Finally, the 1945 survey showed that 20% of theagricultural land hadbecome unused while 80% remained agricultural.Assuming that the trends indicated by the 1945 survey continue, computethe percentage of urban, unused, and agricultural land in the county in 1950and the corresponding eventual percentages.

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Asked Feb 26, 2020
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In 1940 a county land-use survey showed that 10% of the county land was
urban, 50% was unused, and 40% was agricultural. Five years later a follow-
up survey revealed that 70% of the urban land had remained urban, 10%
had become unused, and 20% had become agricultural. Likewise, 20% of the
unused land had become urban, 60% had remained unused, and 20% had
become agricultural. Finally, the 1945 survey showed that 20% of the
agricultural land hadbecome unused while 80% remained agricultural.
Assuming that the trends indicated by the 1945 survey continue, compute
the percentage of urban, unused, and agricultural land in the county in 1950
and the corresponding eventual percentages.

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