Battery not charging using charging cord
First of all, let's ensure electrical connection is good:
In case the camera has been off for a long time, it happens with devices that have a completely depleted battery that it takes a while to show signs of it charging. Wait a bit longer, in case nothing happens the battery could be dead or it could be some even more serious like a faulty charging port, hopefully just cleaning/switching the cable will solve this for you.
Ok I checked your camera's manual, seems it gets powered by 2 AA stylus batteries, so USB cable is used for data transfer only I guess.
If you have already tried replacing the batteries with new ones and it still won't power on, first thing to check is if any battery fluid leaked on the contacts, you should see it clearly when inspecting them from the battery cover. If it did, to expose them open the case by going through steps 1-2 from this guide.
Now remove the metal contacts from the frame and clean them and the ones on the battery cover with vinegar or lemon juice with the aid of a toothbrush. Let everything dry thoroughly and scrape it to remove any residue, then do a final polish using a pencil eraser (ref.).
Then you'll have to replace the batteries, the recommended ones by the manufacturer are:
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