In a round-robin tournament, every two distinct players play against each other just once. For a round-robin tournament with no tied games, a record of who beat whom can be described with a tournament digraph, where the vertices correspond to players and there is an edge x→yx→y iff xx beat yy in their game.

A ranking is a path that includes all the players. So in a ranking, each player won the game against the next lowest ranked player, but may very well have lost their games against much lower ranked players —whoever does the ranking may have a lot of room to play favorites.

Prove that every finite tournament digraph has a ranking. Thanks!

There are three factors that can affect the shape of the treasury yield curve (r* t , ip t , and mrp t ) and five factors that can affect the shape of the corporate yield curve (r* t , ip t , mrp t , drp t , and lp t ). the yield curve reflects the aggregation of the impacts from these factors. suppose the real risk-free rate and inflation rate are expected to remain at their current levels throughout the foreseeable future. consider all factors that affect the yield curve. then identify which of the following shapes that the us treasury yield curve can take. check all that apply.a. downward-sloping yield curveb. upward-sloping yield curvec. inverted yield curve

On april 1, the cash account balance was $46,220. during april, cash receipts totaled $248,600 and the april 30 balance was $56,770. determine the cash payments made during april.

Reynolds corp. factors $400,000 of accounts receivable with mateer finance corporation on a without recourse basis on july 1, 2015. the receivables records are transferred to mateer finance, which will receive the collections. mateer finance assesses a finance charge of 1 ½ percent of the amount of accounts receivable and retains an amount equal to 4% of accounts receivable to cover sales discounts, returns, and allowances. the transaction is to be recorded as a sale.required: a. prepare the journal entry on july 1, 2015, for reynolds corp. to record the sale of receivables without recourse.b. prepare the journal entry on july 1, 2015, for mateer finance corporation to record the purchase of receivables without recourse— think through this.c. explain the difference between sale of receivables with recourse as oppose to without recourse.