solar panel battery recharge question?

electricity is not my strong point, so help me out, if i deliver 12 volts at 10 amps (rated power, and checked by meter) to a battery, my power usage depending on the inverters is

a) the battery capacity in storage
b) as well as the power i’m pushing into the battery during use

so if i have 750 amp hours, and i’m drawing 100 amps in my inverter, i have 7 1/2 hours of power, (battery life)

and then i have power off the panel (but i would not have power enough to charge the battery

is that about right?
what i have is a panel, no battery, i was using this as an example, of power in, and draw

i understand to have that kind of power i would have to have a bank, but the panel would never support that, so i was trying to keep it simple, as i’m learning

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