The Director of Finance shall keep an accurate account of:
(a) All moneys received by him or her, showing the amount thereof, the time received, from whom and on what account received;
(b) All disbursements made by him or her, showing the amount thereof, the time made, to whom and on what account paid; and
(c) All property owned by the City and income derived therefrom and all taxes and assessments.
The Director shall so arrange his or her books that the amount received and paid on account of separate funds, or specified appropriations, shall be exhibited in separate accounts. In addition to the ordinary duties of the Director, he or she shall have such powers and perform such duties as are required by any ordinance of the City that is not inconsistent with the Charter and not incompatible with the nature of his or her office.