Your grandparents send you a check for $150 for your birthday. You deposit the check into your savings account which has a balance of $1,255. How much money will you expect to have in your account in one year if the interest rate is 2.5% and you don’t take any money out?

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?