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There is a sudden growth of algae in a lake that kills other life in the water such that y tons of algae will be present after t weeks. The rate of growth of the algae is y′=ty+t and the initial amount of algae is 7 tons. How long will it take the initial amount of algae to grow to 77 tons? (Round your answer to three decimal places.)
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There is a sudden growth of algae in a lake that kills other life in the water such that y tons of algae will be present after t weeks. The rate of growth of the algae is y′=ty+t and the initial amount of algae is 7 tons. How long will it take the initial amount of algae to grow to 77 tons? (Round your answer to three decimal places.)