Most residential cable modem / DSL services actually use dynamic IP addresses, not static. Your IP address can change at any time, though it seldom does. Because they change so seldom, for your purposes, you can consider them static.
At work, it depends on how the network is set up. The IP address where your husband works is pointing to a router. To the outside world, it looks like all network traffic generated at his office comes from one IP address. (So, ask your husband to ask his coworkers to vote for you, but from their home machines.)
Good luck
