450 multiplied by .025 also known as 2.5 percent which equals 11.25 dollars
which is her commission for the week
Answer: 22 hours 28 minutes
Step-by-step explanation: 0843 means 8:43am and 0711 means 7:11am military time. In that order there is 22 hours 28 minutes from 8:43am today to 7:11 am tomorrow. The question itself is rather confusing so if this is not what you meant please let me know and I will re-do it.
Answer:
a)
- I (1, 2) quadrant 1
- J (3, -1) quadrant 4
- K (-4, 0) x-axis
- L (-4, 2) quadrant 2
- M (4, -4) quadrant 4
b) (-4, 0)
c) (4, 2)
d) (-3, 1)
Step-by-step explanation:
a)
- I (1, 2) quadrant 1
- J (3, -1) quadrant 4
- K (-4, 0) x-axis
- L (-4, 2) quadrant 2
- M (4, -4) quadrant 4
b) (-4, 0) doesn't move as it is already on the x-axis
c) (4, 2)
d) (-3, 1)
reflected in the x-axis = (3, 1), then reflected in the y-axis = (-3, 1)
2 x (5-2)^3
2 x (3)^3
2 x 27
54
Continuing from the setup in the question linked above (and using the same symbols/variables), we have




The next part of the question asks to maximize this result - our target function which we'll call

- subject to

.
We can see that

is quadratic in

, so let's complete the square.

Since

are non-negative, it stands to reason that the total product will be maximized if

vanishes because

is a parabola with its vertex (a maximum) at (5, 25). Setting

, it's clear that the maximum of

will then be attained when

are largest, so the largest flux will be attained at

, which gives a flux of 10,800.