Sorry, Granny, I was out back. Sometimes you have to ring the bell a couple times.
Everyone signs everything.
The corporate resolution should say the board of directors met on this date and authorized the following individuals to: and then list what they are authorized to do - sign checks, etc.
Each authorized person should sign next to his or her name. Then the corporate secretary signs at the bottom.
Then each authorized signer should sign your signature card, as this is the document you will use internally to verify their signatures.
I'll just throw in that on corporate accounts, we don't allow authorized signers to have all the powers that corporate officers, who are usually also owner, have. For example, if an employee is an authorized signer, we'll let them sign checks, but not make changes, like address changes, to the account, to avoid embezzlement.
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I thought getting old would take longer.