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Great responses by BBS and FinStar. To dovetail on what Fin said, there's a very common belief that the inquiry is the only way that a new account hurts your score. This would not be true.
There are many factors affected: Age of Youngest Account gets dropped to zero, Average Age of Accounts is lowered, the percentage of new accounts in your profile is increased, etc. These are all distinct scoring factors aside from the inquiry.