Scott invests $11300 in two different accounts. The first account paid 11 %, the second account paid 4 % in interest. At the end of the first year he had earned $823 in interest. How much was in each account?

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?