Solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable.x + y + z = 92x - 3y + 4z = 7
A. 
B. 
C. 
D. 
Answer: C
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Solve the problem. Find the area of the triangle determined by the points P(1, 0, 1), Q(-4, -3, 7), and 
A. 
B. 
C. 
D. 
Solve the problem.The logistic growth function f(t) = 
describes the population of a species of butterflies 
after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?
A. 60 butterflies B. 880 butterflies C. 6 butterflies D. 440 butterflies
Solve the problem.Find the present value of $50,000 due 10 years later at 6.8%, compounded continuously.
A. $172,249.78 B. $25,897.48 C. $6879.29 D. $25,330.85
Situation P) Below are the results of a survey of America's best graduate and professional schools. The top 25 business schools, as determined by reputation, student selectivity, placement success, and graduation rate, are listed in the table. For each school, three variables were measured: (1) GMAT score for the typical incoming student; (2) student acceptance rate (percentage accepted of all students who applied); and (3) starting salary of the typical graduating student.
For the situation above, give a practical interpretation of 5 1 228.
a. We estimate SALARY to increase $228 for every 1-point increase in GMAT
b. We expect to predit SALARY to within 2228) = $456 of its true value using GMAT in a straight-line model
c. We estimate GMAT to increase 228 points for every $1 increase in SALARY
d. The value has no practical interpretation since a GMAT of 228 is nonsensical and outside the range of the sample data.