http://www.solarelectricalsystems.com/documents/kyocera-kd135gx-lp.pdf
The above panel (a quick Google search) has an area of about 1 meter squared (10.89 square feet) and produces 95W with 800W/m^2 of sunlight. So with 20 8 x 10 panels worth of area (1600 square feet) that would produce just under 14kW with typical direct sun light. To convert that to AC using a 96% efficient inverter the inverter would output about 13.4kW. And yes their are other losses, but you'd have to lose another 10% to get to 12kW AC. You don't need batteries if you don't go off grid.
A typical house can nearly zero out its electricity usage for about $40k of solar equipment. But that's only because of all the subsidies and tax giveaways. Typically those subsidies and tax giveaways amount to about 30% of the cost of the project...
Without those subsidies and tax giveaways the economics of it is very debatable.
...Example: in 2009, Germanys actual national PV solar CF was 6,578 GWh/(7,890 MW x 8,760 hr/yr) = 0.095 out of a national theoretical maximum of 0.115. The actual CF indicates the PV solar panels are aging, dusty, partially shaded by trees, partially snow-covered, roofs are not be true-south-facing and the panels are not correctly angled; about 80% of the PV solar systems are roof-mounted. Germany could raise its average CF, if it installed more field-mounted suntracking PV systems that would have CFs of about 0.16 - http://bifuel.net/starter-homes-get-solar-panels-as-standard-equipment/
The rated capacity is at noon, in full sunlight, and that MAY only happen once each day... and anything less....is less! I hope your air conditioning doesn't draw many AMPS!
The biggest fraud currently (other than the pResident) is the guy on TV talking about a "solar generator" for times when your power goes out. "Just hook it up in the middle of the storm..."
http://www.mysolarbackup.com/?gclid=COPIxcjtuagCFQXu7QodA3wqCA