22. Elbert is graduating from college in eighteen months, but he will need a loan in the amount of $4,250 for his last three semesters. He may either receive an unsubsidized Stafford Loan with
an interest rate of 6.8%, compounded monthly, or his parents may get a PLUS Loan with an
interest rate of 7.8°, compounded monthly. The Stafford Loan has a grace period of six
months from the time of graduation. Which loan will have a higher balance and by how much
at the time of repayment?

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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