Basically, $2/1000 gallons of water & $0.10/kWh for electricity (I did not bother calculating for gas dryers) were the most recent US averages I could find, and that was rounding up (e.g., electricity was actually > $0.09 but < $0.10).
I used this calculator[2], and plugged in appropriate values where I could find most current data.
Also, it costs me about $2.50 to do a load of laundry (washer + dryer), which is basically what it costs you (see: http://michaelbluejay.com/electricity/laundry.html). And it's in my building.
So I'm not sure which concept crystalizes this notion for you, but it's not one based in reality.