I have had 4 AK cards (3 personal, 1 business) in the past 15 months. I applied for a 5th and was declined. Closed 3 of the accounts and kept 1 personal open, then reapplied today, about 2 months after the denial. Was instantly approved for $3200. Will call to see about increasing the credit line to $5k to qualify for the Visa Signature version once the card arrives; I had to do this with 2 previous accounts, and though it took a while and a few phone calls, did end up with the 25,000 miles and companion pass on each.