It has been estimated that service industries, which currently make up 27% of the nonfarm workforce in a certain country, will continue to grow at the rate of

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percent per decade t decades from now. Estimate the percentage of the nonfarm workforce in the service industries one decade from now. Round your answer to the nearest integer.

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Hint: (a) Show that the desired answer is , where P is the solution of the initial value problem

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(b) Use Euler's method with  to approximate the solution.

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Fill in the blank(s) with the appropriate word(s).


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Mathematics

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