Each supervisor [upon] on completing his roll shall certify to the city clerk the amounts of taxes levied in the roll for the state and county purposes, and for city and school taxes, special assessments and other purposes, and the clerk shall charge the said amounts to the city treasurer. The city treasurer shall give bond to the county treasurer in the same manner as township treasurers are required to do; and thereupon, and on or before the first Monday in December, and in case the city have 2 tax rolls, and the roll be the July roll, such roll shall be delivered to the city treasurer on or before the first day of July, each supervisor shall deliver a certified copy of the December tax roll, with the taxes extended therein as aforesaid, to the city treasurer, with his warrant for the collection of the taxes therein, annexed thereto.