Hi Don. Three beeps is what you should get, then the printer runs as you said. that is normal startup when batteries removed.
It sounds like you have printer failure. if it sounds like long beeps continuously then that is definitely printer related "Beeep...Beeep...beeep". Take the ink roller out and try again (roller can dry up and stall the printer). If it doesn't fix it, the printer may need a service. the rotary position sensor gives trouble that can cause this problem.
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If anyone needs more information, the sharp XE-A102 manual is here:
http://the-checkout-tech.com/manuals/cashregisters/Sharp_XE-A102_operating_and_programming_manual.html
Registerman, June 2011