Alaska Impressions Co. records all cash receipts on the basis of its cash register tapes. Alaska Impressions discovered during October 20Y3 that one of its sales clerks had stolen an undetermined amount of cash receipts by taking the daily deposits to the bank. The following data have been gathered for October:

Cash in bank according to the general ledger $6,110
Cash according to the October 31, 20Y3, bank statement 14,115
Outstanding checks as of October 31, 20Y3 4,035
Bank service charge for October 20
Note receivable, including interest collected by bank in October 6,540
No deposits were in transit on October 31.

a. Determine the amount of cash receipts stolen by the sales clerk.

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?