Trevor is saving for a down payment to buy a house. The account earns 11.2% interest compounded monthly, and he wants to have $14,000 in 7 years. What must his principal be? Round your answer to the nearest cent and do not include the dollar sign. Do not round at any other point in the solving process; only round your answer.

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?