William, joseph, margeret, frank and jeffrey all work for the same company. frank has been there the longest, eleven years and makes the most money, three times as much as jeffrey. margeret has been there the second longest aand makes $50,000 a year. joseph has worked there four years less than frank and one year more than william. he makes $60,000 a year. williams pay is twice as much as margeret. jeffrey has worked there three years less than william and his income is three quarters of margerets. how much is franks annual salary?

Let's change Jeff to Geoff so we have salaries

Translating into symbols, ignoring the irrelevant work histories,

f=3g

m=50000

j=60000

w=2m

g= (3/4) m

Solve for f

j seems unconnected and we can ignore w too.

f=3g = 3(3/4) m = 3(3/4) (50000) = 112500

Frank's salary is

$112,500

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

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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