There shall be and is hereby established in the city a municipal court, to be known and designated "The City Court of The City of Tucson, Pima County, State of Arizona," which court shall always be open, except on nonjuridical days, and on such nonjuridical days it may transact such business within its jurisdiction as is authorized by general law to be transacted by courts of justice of the peace, relative to businesses within their jurisdiction.