The federal wage and hour law (The Fair Labor Standards Act of 1930-something) does not apply to “exempt” employees. For other, “non-exempt” employees, there is a federal minimum wage which must be paid, and overtime of 1.5 times the hourly wage must be paid for every hour worked in a week past the 40th. There is no change in the laws if the non-exempt employee is on salary; his hourly wage must still be the federal minimum wage or higher, and if he works more than 40 hours a week, he must get paid overtime (although, IIRC, the calculation of his overtime rate can be very tricky because, if he really is on salary, his average hourly rate fluctuates depending on whether he worked 40 or 32 hours in the previous weeks).
Exactly what an employee are exempt is a tricky question. It includes typical executive and managerial work, among other things, but simply calling someone an executive or a manager doesn’t work. If you read the labor law trade press (such as the Daily Labor Report, a publication that used to have the most intelligent, sophisticated and, let’s face it, ruggedly handsome reporting staff around, until I stopped writing for it), you won’t have to go very long until you find a report of some retail chain or other getting into trouble for not paying its “assistant managers” overtime; just because you call someone a manger – even if he has supervisory responsibilities over others – that doesn’t make him an exempt employee.
Therefore, I agree with Nametag; you can pay a salaried worker a salary which ends up being less than the minimum wage per hour. This is perfectly legal if and only if the employee qualifies as an exempt employee under the FLSA. (And, as Nametag noted, there are damn few persons who’ll take a legitimately exempt job, such as one for an executive or manager, for that low of a salary.) If you merely call someone exempt and pay them a salary without basing your decision on one of the handful of statutory exemptions, and that salary works out to less than the minimum wage, then you’re breaking the law.
Bloomberg, as mayor, is clearly in an executive capacity such that he’d be an exempt employee. Although I don’t recall whether the FLSA even applies at all to state government employees; I think it probably doesn’t.
This analysis is complicated by state law, which does typically apply to state employees, may have a different minimum wage and different work hour rules, and could even have a different scheme for determining which employees qualify for benefits protection.
–Cliffy