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kondor19780726 [428]
2 years ago
10

A salesperson gets a commission of $1400 for the first $10,000 of sales, and then $700 for each additional $10,000 or partial of

sales. let s(x) represent the commission on x dollars of sales. find the value of s(65,000)
Mathematics
1 answer:
Alenkasestr [34]2 years ago
4 0

Answer:

s(65,000)= \$ 4,900

Step-by-step explanation:

s(x) represents the commission on x dollars of sales.

For the first $10,000 of sales, the commission is $1400.

For each additional $10,000, the commission is $700.

The total value is $65,000.

The first $10,000 implies a commission of $1400.

The rest is $55,000, which represents 5 times $10,000 and $5,000. The additional commission is 5 times $700, which is $3500.

Therefore, the total commission for the sale of $65,000 is $4,900.

s(65,000)= \$ 4,900

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What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFractio
Alex73 [517]

Answer:

\frac{9}{4}

Step-by-step explanation:

Given

x² + 3x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(\frac{3}{2} )x + (\frac{3}{2} )² = 6 + (\frac{3}{2} )²

The number added to both sides is (\frac{3}{2} )² = \frac{9}{4}

3 0
2 years ago
Read 2 more answers
As an example, 15,000 Men 18-34 watched program X at 7-8 pm on Monday night. 32,000 Men 18-34 had their TV on during the same ti
miv72 [106K]

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

= \frac{X}{Y}

= \frac{15,000}{200,000}

= 7.5 rating points

We simply applied the above formula

3 0
2 years ago
The angles of a triangle are in the ratio 11 : 5 : 2. The side opposite the largest angle is 5.5 centimeters. The length of the
beks73 [17]
The side opposite the lasrgest angle will also be the largest side in the triangle

Here it s 5.5 cms.

so using the given ratios we have

2/11 = x /5.5   where x is the smallest side (opposite the smallest angle)

x = (2*5.5) / 11  =  1 cm.
4 0
2 years ago
Read 2 more answers
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
pshichka [43]

Answer:

The answer is:

\bold{c\approx 20.2\ units}

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

Putting all the values.

cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units

The answer is:

\bold{c\approx 20.2\ units}

4 0
2 years ago
For making a scatter plot of the data set, which would be the best scale and interval for the axis that represents the amount of
Serga [27]

I'd say the answer to the first question is D) 0 to 4 with intervals of 0.2.

Because, you can't just have 1 to 4, as some of the numbers are less than 1.  Of course you can't have 2 to 5 either. And intervals of 2 would be too messy.

For the second question:

I believe the answer is A. Because it's obvious that there IS one outlier, and it looks like there are two clusters.

So, the answers are: A) and D).

8 0
2 years ago
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