Taylor multiplied 8.25 * 10^4 and 0.4 * 10^4 and got 8.65 * 10^4. Explain Taylor's mistake. SOME ONE PLEASE HELP ME GET THIS ANSWER!

Ernest is purchasing a $175,000 home with a 30-year mortgage. he will make a $15,000 down payment. use the table below to find his monthly pmi payment.

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?

The volume of a box varies directly with its length if a box in the group has a length of 30inches and k=24 what is its volume