approve (v.)youdaoicibaDictYouDict[approve 词源字典]
c. 1300, "to demonstrate, prove;" mid-14c., "to attest (something) with authority," from Old French aprover (Modern French approuver) "approve, agree to," from Latin approbare "to assent to as good, regard as good," from ad- "to" (see ad-) + probare "to try, test something (to find if it is good)," from probus "honest, genuine" (see prove).

The meaning extended late 14c. to "to sanction, endorse, confirm formally" then to "assent to (something) as good" (early 15c.), especially in reference to the actions of authorities, parliaments, etc. Related: Approved; approving.[approve etymology, approve origin, 英语词源]
hire (v.)youdaoicibaDictYouDict
Old English hyrian "pay for service, employ for wages, engage," from Proto-Germanic *hurjan (cognates: Danish hyre, Old Frisian hera, Dutch huren, German heuern "to hire, rent"). Reflexively, "to agree to work for wages" from mid-13c. Related: Hired; hiring.
lot (n.)youdaoicibaDictYouDict
Old English hlot "object (anything from dice to straw, but often a chip of wood with a name inscribed on it) used to determine someone's share," also "what falls to a person by lot," from Proto-Germanic *khlutom (cognates: Old Norse hlutr "lot, share," Old Frisian hlot "lot," Old Saxon hlot, Middle Dutch, Dutch lot, Old High German hluz "share of land," German Los; Old English hleotan "to cast lots, to foretell"), of unknown origin. The object was placed with others in a receptacle, which was shaken, the winner being the one that fell out first. Hence, to cast lots. In some cases the lots were drawn by hand. The word was adopted from Germanic into the Romanic languages (compare lottery, lotto). Meaning "choice resulting from the casting of lots" first attested c. 1200.

Sense of "plot of land" is first recorded 1630s (distribution of the best property in new settlements often determined by casting lots), that of "group, collection" is 1725, from notion of auction lots. The generalized sense of "great many" is first attested in 1812. To cast (one's) lot with another is to agree to share winnings.
subscribe (v.)youdaoicibaDictYouDict
early 15c., "to sign at the bottom of a document," from Latin subscribere "write, write underneath, sign one's name; register," also figuratively "assent, agree to, approve," from sub "underneath" (see sub-) + scribere "write" (see script (n.)). The meaning "give one's consent" (by subscribing one's name) first recorded mid-15c.; that of "contribute money to" 1630s; and that of "become a regular buyer of a publication" 1711, all originally literal. Related: Subscribed; subscribing.
wage (v.)youdaoicibaDictYouDict
c. 1300, "give (something) as surety, deposit as a pledge," from Old North French wagier "to pledge" (Old French gagier, "to pledge, guarantee, promise; bet, wager, pay," Modern French gager), from wage (see wage (n.)). Meaning "to carry on, engage in" (of war, etc.) is attested from mid-15c., probably from earlier sense of "to offer as a gage of battle, agree to engage in combat" (mid-14c.). Related: Waged; waging.