An unknown amount of pollutant is dropped in a pond with a volume of approximately 200 m³.  A flow rate (Q) of 10 m³ / minute flows into and out of the pond after the initial pollution event. The rate of change of concentration (C) of pollutant in the pond is given by:

\normalsize\frac{dC}{dt} = -\frac{Q}{V} C

After 30 minutes the concentration of pollutant in the pond is found to be 0.01 kg/m³.  Using an initial guess of 0.1 kg/m³ and the Euler method with 50 steps, apply Fixed Point Iteration with a convergence of less than 0.0001 between iterations to find the initial concentration of pollutant in the pond.