N.C. Gen. Stat. § 160A-17

A city is authorized to enter into continuing contracts, some portion or all of which are to be performed in ensuing fiscal years. Sufficient funds shall be appropriated to meet any amount to be paid under the contract in the fiscal year in which it is made, and in each ensuing fiscal year, the council shall appropriate sufficient funds to meet the amounts to be paid during the fiscal year under continuing contracts previously entered into.