You want to buy a $213,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be?

$

b) What will your monthly payments be if the interest rate is 6%?

$

c) What will your monthly payments be if the interest rate is 7%?

1- 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.2- 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 the first question?