persuaded
per·suade
P0211700 (pər-swād′)These verbs mean to succeed in causing a person to do or consent to something. Persuade means to win someone over, as by reasoning or force of personality: Nothing could persuade her to change her mind. To induce is to lead, as to a course of action, by means of influence or persuasion: "Pray what could induce him to commit so rash an action?" (Oliver Goldsmith).
One prevails on somebody who resists: "He had prevailed upon the king to spare them" (Daniel Defoe).
To convince is to persuade by the use of argument or evidence: The salesman convinced me that the car was worth the price.