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Don't know about what Chase internal models favor, but yes, I'd pay it off before allowing a huge balance to report on a brand new card for fear other creditors would think I was actually seeking more credit because I needed it and would take AA. Even when I PIF before statement cuts, my high balance has been reported even though I've never had that high of a balance at any statement cut. So it shows use, without showing a high outstanding balance on a new CL.
I can't imagine why Chase would mind...they want their money...the sooner you do so, the less risk they experience (one could lose a job, get injured, or just change their mind and not pay). I'd just pay it off instead of worrying about the debt; though, that may be because 7k in debt is a substantial balance to me that would be difficult to repay in 23 days if I lost my job or got sick without taking money out of savings/retirement. Your position may be different. I just don't think 7k outstanding on a brand new credit line speaks well of discipline and financial responsibility...though in this case you obviously aren't in any trouble, so why risk the potential costs of the incorrect assumptions?