All licenses shall be for a period of one year, unless otherwise provided in this chapter; such license is to begin January first of each year and terminate the following December thirty-first, and it must be renewed annually in advance. Any license fee which is required in this chapter for any business that may begin operation on or after July first of any year shall be one half of the legal license fee and shall entitle the licensees to operate within the city until December thirty first of the year after which date the licensee shall pay the license fee for one year in advance. Any and all licenses issued for any new businesses which begin operation after January first of any year, up to and including June thirtieth of any year, shall be required to pay the full license fee.