Rhode Island’s minimum wage will increase next Tuesday from $7.40 to $7.75 an hour. State labor numbers show that about 10,000 people are paid the minimum wage. The General Assembly voted last year to increase the minimum rate. Since Rhode Island last raised the wage in 2007, Massachusetts has increased its minimum to $8 and Connecticut has gone to $8.25. In addition to Rhode Island, nine other states are raising their minimum wages on New Year’s Day. Vermont’s will go up 14 cents, to $8.60 an hour. The federal minimum wage is $7.25 an hour.