Final answer:
The approximate membrane potential of the cell is -3.33 mV.
Step-by-step explanation:
The membrane potential of the cell can be calculated by taking the weighted average of the individual ion potentials based on the number of open channels for each ion. In this case, the approximate membrane potential can be calculated as (500 * 50 + 10000 * -50 + 20000 * 0) / (500 + 10000 + 20000) = -3.33 mV. Therefore, the closest option to the approximate membrane potential of the cell is C) 0 to -50 mV.