How long do you think you can suck 100 amps out a 12v battery? 100a x 12 v = 1200 watts. A frig will require a large amount of power to start. A furnace's biggest load is the fan motor. The modern hi-tech furnaces may not like the inverter voltage. If you have an old oil furnace, it has two motors, blower and gun.
I wouldn't want to stay warm with battery backup.
Personally, I think it's a pipe dream.
Post back if it works.
I think you would be better off with an RV genny. They are quiet, can get 30 amps out of the RV plug. That might work much better and run both furnace and frig providing the furnace likes the wave put out by the genny.
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Today's Featured Article - Talk of the Town: The Saga of Grandpa's Tractor - by The following saga is from the Tractor Talk Discussion Forum. Someone. The saga starts with the following message: Hey guys I have a decision to make. I know what you all will probably suggest and it will probably agree with me way down inside, but here it is. I have a picture blown up and framed in my "tractor room" of a Farmall M. It was my Grandpa's tractor, of which whom I never got to meet. He froze to death getting this tractor out of the barn to pull a truck out of the ditch before I was born. Anyway my dad and aunt had to sell it at the auction,
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