All moneys received by any person, department, or agency of the City for or in connection with affairs of the City shall be deposited promptly in the City depository or depositories, which shall be designated by the City Council in accordance with such regulations and subject to such requirements as to security for deposits and interest thereon as may be established by ordinance or by the Laws of the State of Texas. All checks, vouchers, or warrants for the withdrawal of money from the City depositories shall be signed by the City Manager and/or such other person or persons as the City Council shall designate by ordinance or resolution. Provided, that the City Council, under such regulations and limitations as it may prescribe, may by ordinance authorize the use of machine imprinted facsimile signatures on such checks, vouchers car warrants.