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Let K(t) denote the amount of capital accumulated at time t as a result of an...

Let K(t) denote the amount of capital accumulated at time t as a result of an investment flow I(t)=K'(t)=9000t^{\frac{1}{4}}. Suppose the initial capital K(0)=0. Calculate the number of years required before the capital stock exceeds 100 000. Round your answer to 2 decimal places.

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