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Norma-Jean [14]
2 years ago
9

At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real

Mathematics
1 answer:
deff fn [24]2 years ago
4 0

9514 1404 393

Answer:

  • agency: $14,306
  • agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

__

The agency made $14,306; the agent earned $3,576.50.

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A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
2 years ago
Larry bought a used boat for $2400 and sold it for 2000 two years later what was the percent of decrease
guajiro [1.7K]
It pretty much would be 400
3 0
3 years ago
Help me answer this question :((((
ss7ja [257]

Step-by-step explanation:

I cannot give an exact result but I will try.

What it means by this is to continue the graph up to 2010.

Based on its trajectory, you would simply draw the line on.

If I made a prediction on what it would end up on in 2010, I would say 50 percent.

8 0
2 years ago
58 is what percent of 40
Oksana_A [137]

58÷40×100 which will give you 145 as the answer.

4 0
3 years ago
Read 2 more answers
Can someone help please
Montano1993 [528]

Answer:

13.2

Step-by-step explanation:

11/5=x/6

66/5=×

13.2

4 0
3 years ago
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