Answer:
Step-by-step explanation:
<u>Total cost of nuts, including the discount and the tax:</u>
- (0.1 + 0.13 + 0.26)*20*[(100- 30)/100]*[(100 + 5.25)/100] = 7.22 (rounded)
<u>Total cost of bolts, including the discount and the tax:</u>
- (0.45 + 0.52 + 0.63+0.93)*35*[(100- 45)/100]*[(100 + 5.25)/100] = 51.26 (rounded)
<u>Total amount Carl paid:</u>
Correct choice is B
Answer:
$90,200
Step-by-step explanation:
Airlines usually try to sell their all seats before they fly the airplane. They do wish to sell maximum available seats in order to maximize their revenue. If the airplane takes off with less occupancy then there is opportunity cost for the airline companies. There are 200 seats available to the current flight and they wishes to sell it completely. If they sell all the 200 seats at the price of $451 per seat then their total revenue will be $90,200.
Answer:
<h2>x = 727</h2>
Step-by-step explanation:
Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
2.
(this is given in the first sentence)
3.
and
due to ...
7. ... the alternate interior angles theorem (which holds because
and
are parallel)
8. Because the above establishes that
, which means
, which in turn means
is a parallelogram.
