I'm confused as to why you haven't returned it yet...? If it works this reliably out of the box, what can you expect a month from now.
Go to where ever you bought it from. Get customer service to plug in the new one and browse the store. Check back in 15mins, and if it holds any charge, take it home.
Done
....Light travels faster than sound. That's why some people appear bright until you hear them speak.
