For all institutions or departments where the officers and employees are paid a fixed salary, a voucher may be submitted in the form of a regular periodic payroll covering the compensation of such officers and employees. Subject to the rules of the state board of examiners, a warrant will be issued by the state controller to each person carried on such rolls for the amount shown thereon. The vouchers must contain a certificate from the head of the department or institution to the effect that the services were necessary in the public service, that they were actually rendered as charged, that the rate of pay of each individual carried thereon has been lawfully fixed by proper authority and that the account is correct and just.