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STALIN [3.7K]
3 years ago
6

Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales

. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?
A $750,000
B $75,000
C $15,000
D $1,500
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
The answer is
B $75,000
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Find the equation of a line that goes through the points (-3,5) and (5,-11)
Rasek [7]

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1

3 0
2 years ago
What the closest volume of a cylinder with a height of 10 and a circumference of 8
jenyasd209 [6]

In order to calculate the volume of a cylinder, we can use the following formula:

V=\pi r^2h

Where r is the base radius and h is the height.

If the circumference is 8, we have:

\begin{gathered} C=2\pi r \\ 8=2\pi r \\ r=\frac{4}{\pi} \end{gathered}

Now, calculating the volume, we have:

\begin{gathered} V=\pi(\frac{4}{\pi})^2\cdot10 \\ V=\frac{160}{\pi} \\ V=50.93 \end{gathered}

So the correct option is the second one.

3 0
1 year ago
Earth travels around the sun at a speed of about 30 kilometers per second. Convert this speed to kilometers per minute.
Verizon [17]

Answer:

1800

Step-by-step explanation:

there are 60 seconds in a minute

so, 30 * 60 = 1800

8 0
3 years ago
which measurement is closest to the volume of the cone in cubic inches . the height is 7.5 & the radius is 5.62 . show work
Dominik [7]
To find the volume, you would use the formula V=1/3 pi times radius squared times the height. So, you would multiply 1/3 x 3.14 x 5.62^2 x 7.5. This equals approximately 248 cubic inches.
7 0
3 years ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
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