The verb acquiesce means to agree to do what someone wants or to accept what they do.

Synonyms are accedecomplyconcur, or conform.

The word origins from Middle French (14th century) acquiescer meaning “to yield or agree to, be at rest”. It also origins from Latin acquiescere/adquiescere meaning “become quiet, remain at rest, repose, thus “be satisfied with, be content”. It comes from ad meaning “to” plus quiescere meaning “become quiet”, and quies meaning “rest, quiet”.

Sam hesitated at first, but at last he decided to acquiesce.

She’s not certain whether to acquiesce or not.

The bank acquiesced to give double the amount of his initial loan.