HTC One V Battery won't fully charge

I just got my HTC One V a week ago. I plug it in overnight to charge, and in the morning it's only about 3/4 charged. The battery icon doesn't have the charge symbol on it or the charging animation. It seems that the phone "thinks" the battery is fully charged, and it very well could be, but it doesn't look that way to me. How can I fix this problem?
 

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