Part A: Mike wants to join a gym. He has to pay an initiation fee of $16 and equal monthly payments for the year. The most he wants to pay is $580 for the year for his gym membership. a.) Write an inequality that you can use to determine the most he would want to spend for his monthly payments. Part B: Now use your inequality from 15a to determine how much Mike’s monthly gym payment can be if the most he wants to pay is $580 for the year for his gym membership..

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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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