The rate of consumption (in billions of barrels per year) for oil conforms to the formula [R(t)=30

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The rate of consumption (in billions of barrels per year) for oil conforms to the formula

\[R(t)=30 e^{6 t / 125}\]

for \(t\) years after 2012. If the total oil still left in the earth is estimated to be 800 billion barrels, estimate the length of time before all available oil is consumed if the rate does not change and no new oil reserves are discovered.

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