The function y = 1000(1.005)* models the value of a $1,000 deposit at 6% per year (0.005 per month) x months after the money is deposited
a. How many months until the investment is worth $1,100?
b. How many years until the investment has doubled?
c. How many years until the investment is worth $5,000 Exponential problem use the function

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?