RNO is a partnership between Rami, Nancy, and Omar. On 1/1/2020, their capital balances were: $ 70,000, $ 45,000, and $ 35,000 respectively. They share profits and losses in a fixed ratio of 50%: 30%: 20% respectively. On this day, a new partner (Salem) joins the company by investing cash into it, forming a new partnership called RNOS Company.

Salem's capital is credited for 30% of the new total capital. If Rami's capital becomes $ 65,000 after this transaction, how much cash did Salem invest into the company?