The mayor is the executive officer of any city referred to in ORS § 221.902 and must exercise a careful supervision over its general affairs and subordinate officers. The mayor shall at least once each year state to the council by message the condition, financial and otherwise, of the city, and recommend such measures for the peace, health, improvement and prosperity of the city as the mayor may deem expedient. The mayor shall perform such other duties as may be required by ORS § 221.901 to 221.928 or by city ordinances.