EBay charges a commission of 18% if the item sells for $500 or less. If the item sells for more than $500 it charges 18% for the first $500 and 9% on the amount over $500. a. Find the commission for a $400 sale.

b. Find the commission on a $650 sale.

Factor the polynomial expression x6 – x3 – 20

Mia’s gross pay is 2953 her deductions total 724.15 what percent if her gross pay is take-home pay

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.