Bret rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. he paid $10.67 monthly per thousand on his original loan. at the end of 1 year he owes the bank $70,000. since then interest rates have increased to 13%. the bank will renew the mortgage at this rate, or bret can pay the bank $70,000. he decides to renew and will now pay $11.72 monthly per thousand on his loan. you can ignore the small amount of principal paid during the year. what was the old monthly payment? $what is the new monthly payment? $what is the percent increase in her monthly payment (to the nearest tenth)?

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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