Firstly derate any battery capacity by a factor of two or so - no battery retains its as-new capacity for very long, expect it to degrade over time.The capacity of most batteries is measured at the 10 hour or 20 hour rate of discharge. At a 5 hour rate thecapacity will be somewhat less (batteries are very imperfect devices, that's how the chemistry works).So the answer is no, you'll be dissappointed. Choose 200Ah perhaps.And another bit of bad news, lead acid batteries don't make very good deep-cycle batteries, but they arethe cheapest option. Their faults include that they must be regularly charged when not in use - you haveto remember to do this or they'll be ruined (they drop in capacity and in power handling a _lot_). They need to be immediately recharged after discharge, not left for days discharged. They also last much better if neverdischarged very much - another reason to over-size them for your calculated load.Vehicle batteries are an ideal use for lead-acid - always recharged after discharge, frequently recharged to full...batteryuniversity.com is a great resource.
i thought that i read somewhere that deep-cycle batteries are better for a constant load and car batteries are better for higher amperage for a short amount of time, like starting a car?