Each year, each board of library trustees: Shall elect one of its appointed members as its chair; and May elect any other officer it requires from among the appointed members of the Board. The treasurer of each board of library trustees shall be bonded adequately. Each board of library trustees may determine the time and place of its meetings and may adopt rules for the conduct of its meetings. However: Each board shall meet at least once every 3 months; Any final action of a board shall be taken at a public meeting; and The minutes of board meetings shall be open to the public. Any member of a board of library trustees who fails to attend at least half of the scheduled meetings of the board during any calendar year shall be considered to have resigned from the board. The chair of the board of library trustees shall report the member’s name and nonattendance to the county governing body by January 15 of the following year. The county governing body may reject the resignation if the member explains his nonattendance satisfactorily. The resignation is effective from the date of the final review by the county governing body, which shall be within 10 days after it receives the report from the chair of the board of library trustees. The county governing body shall fill any resulting vacancy as provided in § 23–403 of this subtitle.