At a real estate agency, an agent sold a house for $339,000. The commission rate is 6.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?
The agency made on the house,

Answer:

I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals.

Step-by-step explanation:

Answer:

The value of x = 14/3

Step-by-step explanation:

Given the equation

[tex]3x-5 = 9[/tex]

Add 5 to both sides

[tex]3x-5+5=9+5[/tex]

Simplify

[tex]3x=14[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{14}{3}[/tex]

Simplify

[tex]x=\frac{14}{3}[/tex]

Therefore, the value of x = 14/3

Note: It seems you may have missed entering the correct answer choice as the value of x = 14/3 is not mentioned in your answer choices.

Answer:

The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.

Step-by-step explanation:

From the random sample, we can expect that [tex]\frac{250000}{500000}=\frac{1}{2}[/tex] of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect [tex]15900000 \cdot \frac{1}{2} = 7950000[/tex] students to have played on a sports team that year.

Answer:

t = 3

Step-by-step explanation:

105 = -5t^2 -10t + 180

-75 = -5t^2 -10t

15 = t^2 +2t

t^2 +2t -15 = 0

(t+5)(t-3)

t = -5, 3

There's no such thing as negative time so you use the positive answer

Answer:

$144

Step-by-step explanation:

$40+$40+$64= $144

the answer is

[tex]y \leqslant - 2[/tex]

Answer:

chipset buy showroom de en inglés

Answer:

the answer is D because it makes the most sense

Answer:

A.......,..............

Answer:

DVDs= $16.2

CDs = $11.9

Cassettes = $11.4

Step-by-step explanation:

Answer:

Orange area

area=x^2+x-12

Step-by-step explanation:

width=x+3

length=x-4

area=width x length

area=(x+3)(x-4)

area=x^2-4x+3x-12 = x^2+x-12

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

Answer:

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

3 raised to the power of 4 is = 81

Answer:

The answer is y = x

Hope this helps!

Answer:

29 coins

Step-by-step explanation:

Larry needs to collect [tex]60\%[/tex] of the coins still [tex]0.6[/tex]. [tex]2000-1952=48(+1)[/tex] because you're including 1952 [tex]=49[/tex]. [tex]49×0.6=29.4≈49[/tex].

Answer:

7cm.by6cm sana makatulong

Answer:

The correct answer would be...

B. 7 cm by 6 cm by 18 cm

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

it is an equilateral triangle, so all angles are the same. each angle is 60 degrees. 60/2 is 30, so 30 degrees is the answer.

Answer:

-5x+18/x+2

Step-by-step explanation:

I'm pretty sure it's the answer

Answer:

30m

Step-by-step explanation:

Answer:

I think the answer is 5 square root 10

Step-by-step explanation:

5 squared + 15 squared= 250 the square root of 250 is 5 square root of 10 therefore, the decimal form is 15.81138830...

Answer:

2.645

Step-by-step explanation:

Answer:

[tex] \sqrt{7} = 2.65[/tex]

Answer:

Its positive

Step-by-step explanation:

3x - 5 = -3

3x = 2

x = 2/3

2/3 is positive

Answer:

the height is 4

Step-by-step explanation:

it is a right triangle and also a perfect 3-4-5 right triangle

[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]

[tex]9 + {h}^{2} \: eqauls \: 25[/tex]

subtract 9 from 25

[tex] {h}^{2} \: equals \: 16[/tex]

then you square root 16

[tex] \sqrt{16} [/tex]

and now you height is 4

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

[tex]m = \frac{-2}{2 +1}[/tex]

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

[tex]y = -\frac{3}{2}x -3[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

Answer:4 answer

Step-by-step explanation:

Answer:

the sequence is going up by 18

Answer:

Step-by-step explanation:

5) Diameter  of the circle = 2 * 11.5 = 23 in

6) Radius of the circle = 11.5 in

7) Circumference = πd = 3.142 * 23 = 72.26 in

8) Area = πr² = 3.142 * 11.5 *11.5 = 415.48 in²