A country presently has coal reserves of 50 million tons.

Chapter 5, Problem 70

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A country presently has coal reserves of 50 million tons. Last year 6.5 million tons of coal was consumed. Past years data and population projections suggest that the rate of consumption R (in million ) will increase according to the formula , and the total amount T (in million tons) of coal that will be used in t years is given by the formula . If the country uses only its own resources, when will the coal reserves be depleted?

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