"answerable," literally "liable to be called to account," c. 1400 (mid-14c. in Anglo-French); see account (v.) + -able. Related: Accountably.[accountable etymology, accountable origin, 英语词源]
1640s, "inexplicable," from un- (1) "not" + accountable. Meaning "not liable to be called to account" is recorded from 1640s. Related: Unaccountably; unaccountability; unaccountableness.