Hello Junks- This varies greatly based on many things. Is the hot water paid by tenant, and if so is it an electric HW heater? There are other factors as well. Are you paying for heat, or not?
If you are only paying for lights and basic appliances and typical wall outlets (no electric dryer), then for a small/ 1 BR apt I can't see it costing more than $20- $25 per month.