Well a republic is a state in which supreme power is held by the people and their elected representatives, and which has an elected or nominated president rather than a monarch and a democracy is a system of government by the whole population or all the eligible members of a state, typically through elected representatives.
The Fair Deal was an ambitious set of proposals put forward by U.S. President Harry S. Truman to Congress in his January 1949 State of the Union address.
In council-manager forms of city government, which typically occur in smaller towns, the "city manager carries out the council's policies" as opposed to a mayor in mayor-council governments.