Answer:
x=4, y=3
Step-by-step explanation:
Answer:
2 additional premium channels
Step-by-step explanation:
Using the given function, we substitute c(x) = 114 and solve for x:
114 =90 + 12x
Subtract 90 from both sides:
24=12x
Divide both sides by 12:
2=x
So you have ordered 2 additional premium channels.
This situation is governed by a linear equation:
Total Pay = Base Salary + Commissions, and here that equation is:
Total Pay = $150 + 0.14(Total of sales for the week).
Here, Total Pay = $150 + 0.14($6050) = $150 + $847 = $997
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
