Within three (3) days after the adoption by the Council of the budget for the next fiscal year, the City Clerk shall certify to the City Assessor the amount of the tax levy fixed by the Council, which the Assessor shall proceed to ratably assess to each person and piece of property on the assessment roll, together with all special assessments as well as any other amounts which the Council may require or determine to be assessed or reassessed against any property or person under authority of State law or this Charter.