Yo <u>habré convencido</u> a mi amigo de pedir el trabajo en el restaurante.
Explanation:
I <em>will have convinced</em> my friend to ask for work at the restaurant.
The Perfect Future is a verbal tense that is used to<em> express situations that are occurring or that will develop in the future and that we imagine will have ended by the time the time we refer to comes.</em>
