Ok, Debbie... thanks.
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Ok. What you have here is very common... I see it everyday. The capacitors on the power supply have failed. There's a slight chance of a bad main board here, but that's very rare.
If you want to repair this yourself, I recommend you start by examining the power supply board. It will be the first circuit board you run into if you trace the input power cord.
Look and smell for burnt or open components, paying particularly close attention to the capacitors. If any of them are bulging/swollen (not perfectly cylindrical), domed (not totally flat on top), or leaking... they are faulty and will need to be replaced. You can get capacitors from Radio Shack, Fry's, etc. or websites like mcmelectronics.com, mouser.com, or digikey.com.
Else, consider replacing the whole board. It will be slightly more expensive as far as parts are concerned... but will save you on labor. You'd need to remove the rear panel and get the part number from the board itself so you know you're ordering the right one. Encompassparts.com should have new ones; moduslinkptstvboards.com should have refurbished ones.
If you don't want to repair this yourself, feel free to post back with your zip code and I'll see if I can find a good tech in your area.