(a)   All persons holding office or serving as officials at the time this amended charter goes into effect shall continue serving in the performance of their duties until specific provision shall have been made for the discontinuance of their duties or office. Only when a specific provision has been made to discontinue official duties or an office shall the term of the officeholder or official expire and the office be deemed abolished. The powers conferred and the duties imposed on any officer, commission, board or department of the city under general law shall, if the position is no longer required by this charter, then be exercised and discharged by the officer, commission, board or department upon whom or which are imposed corresponding functions, powers and duties under the charter, by council or under general law.
   (b)   Except as otherwise provided in this charter, any vacancy that occurs in any appointed position on any board, commission or other body under this charter, whether during the term or upon the expiration of the term of a member, shall be filled by appointment by the appointing authority who or that appointed the member whose office became vacant. Midterm vacancies shall be filled for the unexpired term of the previous appointee.
   (c)   All ordinances and resolutions in force on the effective date of this amended charter, to the extent they are not inconsistent with its provisions, shall continue in force until they are amended or repealed.
   (d)   All contracts entered into by the city prior to the effective date of this amended charter are continued in full force and effect. All public work begun prior to the effective date of this amended charter shall be continued. All public improvements for which legislative steps have been taken under law in force at the time of the adoption of this amended charter may be carried to completion in accordance with the provisions of those laws.