To rest
satisfied, or apparently satisfied, or to rest without
opposition and
discontent (usually implying previous opposition or discontent); to accept or consent by silence or by omitting to object.
Tiger Woods was forced to acquiesce to his wife's demands after screwing every babe in a town with a
golf course or else have her take him for all he was worth.
or
Boss: I have decided to remove all
cubical walls in order to improve communication between co-workers
Employee: I'll acquiesce to your judgment oh
great one...