Answer: The Assembly paid the governor through tax laws.
Step-by-step explanation:
King Charles II of England established Carolina as a Proprietary Colony when he gave charters to eight Noblemen to become Lord Proprietors of the Carolinas.
The settlers in the Carolinas started to dislike the Proprietors because they never protected them from Natives and Pirates. The people therefore wrote to the King asking him to convert the colony to a Royal Colony which he did by buying the interests of 7 of the Lord Proprietors.
Royal Colonies do not have the power to appoint a Governor as that honor was reserved for the King. Colonial Assemblies could however, control the salary of the governor through tax laws.