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World consumption of a certain metal is running at the rate of 346e^0.02t thousand metric...

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World consumption of a certain metal is running at the rate of 346e^0.02t thousand metric tons per year, where t is measured in years and t = 0 corresponds to 2014. (a) Find a formula for the total amount of the metal that will be consumed within t years of 2014. C(t) = (b) When will the known world resources of 4300 thousand metric tons of the metal be exhausted? (Round your answer up to the next year.)

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