Samantha won a trip to Europe in a contest she had entered. Rather than take the trip, she opted to take the cash value of the prize and put it in savings account she uses as a college fund. She plans to keep this money in the college fund and let it earn interest for 8 years. At the end of
8 years, she'll use the total balance to help pay for tuition at law school

Domain : 0 ≤ x ≤ 8

Range : 5450 ≤ f(x) ≤ 6588.65

Step-by-step explanation:

Expression representing the money Samantha collected after x years is,

f(x) =

Time 'x' duration for the investment starts from t = 0 and ends at 8 years, so the domain of the given function will be,

Range : 0 ≤ x ≤ 8

Money collected in the fund from 0 to 8 years is,

f(0) =

     = $5450

f(8) =

     = $6588.6

Therefore, range of the graphed function will be,

Range : 5450 ≤ f(x) ≤ 6588.65

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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step-by-step explanation: