The dollar sign $ has a long history, and there are several theories:
The Spanish Theory (the most accepted):
In the 18th century, the Spanish used a currency called "peso" (Peso), also known as the "Spanish dollar". Its symbol was Ps.
Over time, people began to quickly write the P above the s, resulting in a shape very close to the $ symbol known today.
The American Theory:
Some researchers believe that the symbol came from writing U.S. (the abbreviation for the United States) one on top of the other, and with speed, the two letters merged to give the shape $.
The Columns and Snake Symbol:
There is another interpretation that links the symbol to the Pillars of Hercules on ancient Spanish coins, where two ribbons spiraled around the column, resembling the $ symbol.
Today, $ has become a global symbol for currencies, even outside of the US dollar (such as the Canadian and Australian dollars).
As for the word tether, it is said to be of German origin.