Directed line segment FG has coordinates of F(2,3) and G(14,21). Find the coordinates of poing A that partitions the line segment in a ratio of 3:7? How do i solve this?

Pyotr tchaikovsky sporting goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set. if the air hockey game set costs pyotr tchaikovsky sports $49.32, find the selling price, the markup, and the net profit.