Ok. My macbook will power on when the cord is plugged in, but it takes a couple tries and is really annoying. Eventually it turns on though.

After I power on the macbook with the cord plugged in, I can disconnect the power cord and it runs off the battery

It will not turn on just from the battery (not being plugged in). The battery is fully charged.

Any ideas?

I have done PROM and ctrl command power thing.

I downloaded the battery update.

Thanks so much for your help.