John made $40 commissions for $500 sales or 40/500. He wants $320 for an unknown amount of sales or 320/x.
40/500=320/x Cross multiply.
40x=160,000
Divide both sides by 40.
X=4,000
He needs his sales to be $4,000 to get $320 in commission.
Answer:
y=-x/4+4
Step-by-step explanation:
Slope intercept form: y=mx+b
x+4y=16
4y=-x+16
y=-x/4+4
1: x² + 10x + 25
2: x² - x -12
3: -2x² + 10x
4: -2x² + 9x + 5
5: n² - 4
---------------------------
1: x² + 14x + 49
2: x² - 14x + 49
3: 4n² - 20n + 25
4: 4n² + 20n +25
5: you just have to switch the signs
Answer:
Step-by-step explanation:
define the function:

As both
and x are continuous functions,
will also be continuous.
Now, what can we say about
?
we know that
, thus:

thus
is non-negative.
What about
? Again we have:

That means that
is not positive.
Now, we can imagine two cases, either one of
or
is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point
for which
is a fixed point, because:

Now, if
and
, then we have that
and
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which
. And as we have shown before that point would be a fixed point. This completes the proof.
Answer:
96
Step-by-step explanation:
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 40 cm, find its area
width + 4 = length
width = width
2l + 2w = p
width+width +width +width +4 +4 = 40
4width +8 = 40
4width = 32
width = 8
length x width = area
width = 8
length = 12 (width + 4)
12x 8 = 96
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have a great day! I hope this helped! :)</em></u></h2>