Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced. You borrow $30,000 with a term of two years at an APR of 5%. Use the Monthly Payments for Short-Term Loans Rule of Thumb to estimate your monthly payment. (Round your answer to the nearest cent.)
Compare this estimate with what the monthly payment formula gives:
A) The actual monthly payment is equal to the estimated payment.
B) The actual monthly payment is about $66 less than the estimated payment.
C) The actual monthly payment is about $66 greater than the estimated payment.

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?