Any municipality of the state may, by vote of its legislative body and with the approval of the commission, apply for membership in the system or provide coverage for employees in any of the services which it may have elected to exclude under § 7-454. The commission is appointed agent for the state and is authorized to act in such capacity in all matters relating to the system and to the municipalities entering it. All agreements to be entered into between the state and the Secretary and between the state and the municipality shall be subject to the examination and approval of the Attorney General before being consummated. The commission is authorized to make regulations governing the procedure to be followed by municipalities in entering and maintaining membership in the system. A municipality shall deduct an amount from the wages of its employees whose services are covered under the system by federal-state agreement and shall contribute an equal amount for each employee on its own behalf so that the sum of these amounts shall be equivalent to the taxes which would be imposed by the federal Insurance Contributions Act if the services of employees covered by the agreement constituted employment as defined in that act. The commission, upon receipt of such contributions, shall, in accordance with applicable regulations, verify them for correctness and endorsement and deliver them to the Secretary of the Treasury of the United States. The state shall pay to the Secretary of the Treasury, at such time or times as may be prescribed under the Social Security Act, contributions equal to the taxes which would be imposed by the federal Insurance Contributions Act if the services covered by the agreement constituted employment within the meaning of that act.