On June 3, the City of Boston announced it will make another $5 million available for its Rental Relief Fund, adding to the $3 million that it launched the fund with in early April. City officials received 1,600 applications during the first period of eligibility and so far have paid $680,000 in assistance to 210 households. To qualify for the assistance, a Boston household must have an income at 80 percent or less of the area median income, which is $90,650 for a family of four. Approved recipients can get up to three months of rental assistance, maxing out at $4,000 for a 12-month period. City officials will prioritize applicants who are ineligible for unemployment insurance or do not receive the full amount. Applications for the latest round will become available at 12:00 p.m. Friday, June 5, in seven languages. Applications will be due by Friday, June 19.