The Butlers bought a $332,000 house. They made a down payment of 42,000 and took out a mortgage for the rest. Over the course of 15 years they made monthly payments of $2,447.19 on their mortgage until it was paid off. (a) What was the total amount they ended up paying for the house (including the down payment and monthly payments)?

(b) How much interest did they pay on the mortgage?

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Factor the monomial completely 42a3b3

Which simplifys to a+ b? a-(1-b)+1 -(1-a)-b+1 (a--1) -1)+1