You buy some beads and string from a student on campus to make a bracelet for yourself. you valued the materials at $11 but were charged only $8. unknown to you, the seller would have sold them for $5. after you make the bracelet, you like it more than the original materials used to make it. you value the bracelet at $16. one day, a random stranger (who values your bracelet at $26) compliments the bracelet and offers you $20 for it, and you decide to sell it to the

stranger what is the total surplus generated from the original purchase of beads and string combined with the sale of the bracelet to the

stranger?

total surplus - $

Need to increase the numbers of customers i talk to daily by 20% how many customers do i need to talk to if i talk to a average of 8 customers per hour during an 8 hour shift

What is the number 321,000,000 in scientific notation? also what is the number? ?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?