Find a solution for the following recurrence relation and initial conditions (use the method of characteristic equation): di = 6d-1-9d1-2, for all integers k> 2; do -1, di = 4. dk=d3k+bk3k do=1=d30+b*0*39=d> d=1 d1=4=d31=3d+3b → d+b=4/3 +b=4/3=d=4/3-154-3/3=1/3 final: dx=3kk3*

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

On saturday a souvenir shop had 125 customers. sixty four percent of the costumers paid with a credit card. how many costumers paid with cash?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?