Hi Alejandro,
While I agree that a Q47/V35 (give or take) would probably get you around a 650, your initial Verbal Scaled Score was stronger (relatively speaking) than your Quant Scaled Score. As such, you COULD still score 650 with a higher Verbal and a lower Quant. However, since you're interested in a FINANCE Program, that Program might expect a stronger Quant performance out of its applicants, which is why I suggested that you contact the Program and ask.
I still think that 5 weeks will be a bit challenging to get up to 650. Given what you've described about how admissions are handled for this particular Program, you could study as much as you can, then take the GMAT... and if you don't score high enough, study and retest and still have a chance at making the end application deadline (whenever it is).
1) How many hours do you think you can study each week?
GMAT assassins aren't born, they're made,
Rich