The opera house sells an average of 1700 tickets per night when the price of each ticket is 25$ an employee of the opera house noticed that every one dollar decrease in cost of each ticket the number of tickets sold increased by 200 tickets. write an equation that could be used to determine the number of one dollar decreases, x, that would yield a revenue of $55,000

15 point ! ~ see if you know the answer to both you!

An apartment has a replacement cost of $950,000 and contents valued at $1,450,000. it has a classification of a and a territory rating of 3. find the annual premium a) $10,185 b) $9,230 c) $3,155 d) $13,830

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?