I don't even remember now why I was thinking about the $ sign. Well anyway I went and looked it up and this is the most plausible answer I got. If anyone was curious like me. Oh and ¢ stands for Cents, that was easy I guess.

The dollar sign is an abbreviation for "pesos." Bear in mind that the Spanish dollar, also known as the peso de 8 reales, was the principal coin in circulation in the U.S. up until 1794, when we began minting our own dollars. In handwriting, "pesos" was usually abbreviated lowercase "ps," with S above and to the right of the P and with the hook on the latter written with one or two deep strokes. As time went on, the P and the S tended to get mashed together and the result was $.