In a hearing lasting just five minutes, the head of Nevada's Employment Security Division made it official Tuesday, raising the tax businesses must pay for unemployment insurance by a quarter percent.The new rate of 2.25 percent will generate an estimated $499.6 million in 2013 - about $57 million more than the existing 2 percent rate brought in.The division expects to pay out some $430 million in benefits.If those projections hold, the near $70 million difference would be used to reduce the $676 million the state owes the federal government for loans taken to pay unemployment claims during the recession."I wish …