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3 years ago

13

Charles sold $800,000 worth of real estate last month. His commission for the month was $16,000. what rate of commission dischar

ge received

1 answer:

avanturin [10]3 years ago

3 0

Answer:

2%

Step-by-step explanation:

lets assume his commission be x%

so ,

800000*x/100 = 16000

800000*x = 1600000

x= 1600000/800000

x=2

so rate of commission is 2%

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Solve for x (9x-18) what's the answer

AleksAgata [21]

Answer:

9x² - 18x

Step-by-step explanation:

x(9x-18)

=> 9x² - 18x [Distributive Property]

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2 years ago

On one of the Tigers’ plays, Terrence thought they went for +3 yards, but his father told him they actually lost three yards. Wh

stealth61 [152]

−1

Explanation:

Let's say the set of downs starts at the 20 yard line (maybe the kicking team kicked deep, the receiving team took a knee and so play starts at the 20).

Ok - we're at the 20. First down - they advance 5 yards. So we're now at the 25. We can write that mathematically as:

20 + 5= 25

So the second play they get sacked deep and lose 6 yards. So we subtract 6:

25 − 6=19

So what's the change in yardage for the 2 plays? We are on the 19 and started at the 20, so we can write:

19 − 20= −1

and this makes sense because we know we advanced 5 and fell back 6:

+5 −6 = −1

3 0

2 years ago

Please help please please help<br> i have tried everything i could think of but i cant figure it out

Vera_Pavlovna [14]

Answer:

$\frac{\sqrt[4]{10xy^3}}{2y}$

Step-by-step explanation:

I am assuming you want me to rationalize the denominator.

6 0

2 years ago

An experiment consist of rolling Two fair number cubes. find the probability of each event.

slega [8]

Probability = (number of possible successes) / (number of total possibilities).

<u>Number of total possibilities:</u>
Each cube can come up in 6 different ways.
Total number of possibilities = 6 x 6 = 36

<u>Possible successes:</u>
There are 2 different ways to roll a 3 . . .

1 . . . 2
or
2 . . . 1

The probability is 3/36 = 1/12 = 0.0833... = (8 and 1/3) percent

5 0

3 years ago

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago