Any city of the first class in the state, is hereby authorized and empowered to acquire, by purchase or condemnation, lands on which to erect plants for the destruction of garbage and other refuse matter; also to purchase, erect, operate, and maintain such plants for the destruction of garbage and other refuse matter, also to provide for the collection of all such garbage or refuse matter and delivering the same to such destruction plants or other places, and to pay and contract to pay for the same in such annual installments and at such a rate of interest on deferred payments as the council of the city may determine. Each and every act and thing authorized by sections 443.18 and 443.19 shall receive at least a three-fourths vote of all members of the council before the same shall be effective for any purpose.