An insurance settlement of $1 million must replace Trixie Eden's income for the next 45 years. What income will this settlement provide at the end of each month if it is invested in an annuity that earns 8.2%, compounded monthly?

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?