TRENTON New Jersey’s unemployment rate in December was 4.7 percent, up from 4.6 percent in November, the state Department of Labor and Workforce Development reported Wednesday. December’s unemployment rate was also up from the same period in 2004 when it was 4.2 percent, although it was still lower than the nationwide U.S. unemployment rate of 4.9 percent for December . The Garden State registered 3,000 new nonfarm jobs in December over November, the vast majority in the private sector. The education and health services sectors added 1,700 jobs in December. In the construction industry 1,400 jobs were created, while the financial sector, bolstered by increases in the finance and insurance areas, grew by 600 jobs. The state was hurt by losses in the manufacturing sector, which lost 1,400 jobs, as well as the professional and business sectors which lost 1,300 jobs. The New Jersey Business and Industry Association, which represents private sector employers, said in a statement that in comparison with other states, New Jersey’s job growth has been weak and inconsistent over the last two years and is evidence of a “sluggish economic recovery.”