1. A mobile phone is invaluable when your car breaks down in the middle of nowhere.
2. Since the company went out of business and declared bankruptcy, their shares have become absolutely worthless.
3. The information you gave us is invaluable. We can’t thank you enough and I promise we will act on it immediately.
4. Your promises are worthless to me. I’ll never believe another word you say.

invaluable = inestimable, inapreciable
worthless = sin valor, inútil