Pollution levels in a lake have been modeled by the equation x = 0.05 + 0.18e-0.38t where

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Pollution levels in a lake have been modeled by the equation

x = 0.05 + 0.18e-0.38t

where x is the volume of pollutants (in cubic kilometers) and t is the time (in years).

(a) Find the initial pollution levels; that is, find x when t = 0.

(b) How long before x is 30% of that initial level?

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