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The air in a factory is being filtered so that the quantity of a pollutant, P (in mg/liter), is decreasing according to the function P = P0e-kt, where t is time in hours. If 10% of the pollution is removed in the first five hours:

(a) What percentage of the pollution is left after 10 hours?

(b) How long is it before the pollution is reduced by 50%?

(d) Explain why the quantity of pollutant might decrease in this way

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