(a) Subject to the exceptions contained in § 14-47-108, every person appointed by the board of directors or by the mayor, if authorized as provided in § 14-47-108(a)(2)(E), to any municipal office, employment, or position or to membership on any board, authority, or commission shall serve for such time and shall receive such compensation as the board of directors may fix and determine by ordinance.
(b) This section is applicable even in respect to offices and employments which, under statutes applicable to the mayor-council form of government, were held for a fixed term or on a salary basis fixed by statute.