The Mayor shall:
(1) Be the chief executive officer of the City and exercise all the powers and perform all the duties vested in or imposed upon him by this Charter, ordinance of Council, general law or fairly implied in order to carry out the functions of his office in the best interests of the citizens of the City;
(2) Exercise, directly or through his representative, supervision over all other executive and administrative work of the City and provide for the coordination of administrative activities;
(3) Report to Council at least annually upon the state of the City and may recommend to Council from time to time such measures as the Mayor deems to be in the best interests of the City and its inhabitants;
(4) Appoint City officers and employees as provided by law, this Charter or ordinance and may, except where prohibited or otherwise provided by law, this Charter, ordinance or duly adopted merit or civil service systems, remove any City officer or employee at his pleasure, whether such officer or employee was appointed by the Mayor with or without the approval of Council; and
(5) Except as otherwise provided by general law, appoint members of independent boards or commissions of the City, which appointments shall be subject to the approval of Council.