The hike is lower than the amount originally proposed by the county executive.
The new budget proposal cuts spending by county agencies more than $20 million and there will be no pay increases for county employees.
Board of Supervisors Chairman Sharon Bulova, a Democrat, says the tax increase and budget cuts are necessary to close a projected $169 million deficit created by decreased revenue in the slow economy.
Republican Supervisor John Cook, who also voted in favor of the tax increase, says it is a compromise and that inaction by Congress stifled the growth of county businesses that rely on federal government contracts.
Republican Pat Herrity was the the lone "no" in the 9-1 vote.
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