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40 amps on the 12v side will translate to approx. 4 amps on the 110v side.
IOW, it is about a 400w inverter.
as far as your guitar speaker, you would have to look at the back of the amp and see what the power input requirement. If i were to guess, i would gusitmate that a 100w amp will have an input requrement of about 250watts.... so you should be able to run it witout any trouble.
rough numbers ... but close enough to get you by without actually crunching all the numbers.