(A) All resolutions and motions shall be deposited with the City Clerk which:
(1) Create any liability against the city;
(2) Provide for the expenditure or appropriation of its money; or
(3) Sell any city property and ordinances passed by the City Council.
(B) If the Mayor approves of them, he or she shall sign them. Those of which he or she disapproves he or she shall return to the City Council, with his or her written objections, at the next regular meeting of the City Council occurring not less than five days after their passage. The Mayor may disapprove of any one or more sums appropriated in any ordinance, resolution or motion making an appropriation, and if so, the remainder shall be effective. However, the Mayor may disapprove entirely of an ordinance, resolution or motion making an appropriation.
(C) If the Mayor fails to return any ordinance or any specified resolution or motion with his or her written objections within the designated time, it shall become effective despite the absence of his or her signature.
(1980 Code, § 2.105)