The Core Cos. is leading the development of a 15-story housing tower in downtown San Jose, which could include 220 apartments. The project received $1.5 million in predevelopment financing from Housing Trust Silicon Valley. The tower will be 100% affordable for households with an area median income of 30% to 70% and will be located at a corner where South Market Street, East William Street and South First Street converge. The yearly income limits for tenants will range from $40,995 to $95,655 for a one-person household and $195,200 for a four-person family.