"To open an account" means to start a relationship with a bank or other financial institution, giving you access to their services and allowing you to deposit or withdraw money. Full definition
I have been reading information about your banking practices and have found myself more comfortable with possibly opening an account with your bank. (oneunited.com)
They have a 0 % introductory APR on balance transfers made within the initial 45 days of opening the account for a period of one full year. (bankingsense.com)
A pristine credit report could also mean little or no deposit when opening an account with a utility company. (fidelity.com)