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Rashid [163]
2 years ago
11

a sales associate in a department store earns a commission on each suit and each pair of shoes sold .on week she earned $47 in c

ommission for selling 3 suits and a pair if shoes . the next week, she earned $107 in commission for selling 7 suits and 2 pairs odf shoes. How much commission does she for selling each suit and each pair od shoes? Solve bg substitution
Mathematics
1 answer:
Goshia [24]2 years ago
7 0

Answer:

The sales associate makes 13 dollars for suits and 8 dollars for shoes.

Step-by-step explanation:

you can solve this using the equation

3x+y=47

and

7x+2y+107

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Find the 17th term of the of the arithmetic sequence-5,0,5,10
Lilit [14]
An=a1+d(n-1)
first term is -5 (only way for it to make sense)
common difference is proabtly 5

an=-5+5(n-1)
17th term
an=-5+5(17-1)
an=-5+5(16)
an=-5+80
an=75
17th term is 75
8 0
2 years ago
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A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x
Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

<u><em>That would be number of units sold to get max revenue.</em></u>

<u><em /></u>

<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>

<u />

Before differentiating, we see the rules shown below:

f(x)=ax^n\\f'(x)=n*ax^{n-1}

Where

f'(x) is the differentiated function

Now, let's do the process:

r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000

The max revenue amount is $350,000

5 0
2 years ago
Marks age, X is six times his age 2 years ago. which equation represents the statement
FinnZ [79.3K]

x=6x-2 This would be your answer, hope this helps if you need any further explanation feel free to let me know and I would be happy to help you out.

6 0
2 years ago
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What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Bond [772]

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2

The co-efficient of x is the slope of the line

So,

m= -\frac{2}{5}

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

y=m_1x+b

Putting the value of slope

y=\frac{2}{5}x+b

Putting (-5,1) in the equation to find the value of b

1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1

Putting the values of slope and b in equation

y=-\frac{2}{5}x-1

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

y-y_1=m(x-x_1)

Putting the values of slope and point in the equation, we get

y-1=-\frac{2}{5}(x+5)

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

#LearnwithBrainly

4 0
2 years ago
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Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno
tensa zangetsu [6.8K]
<h2>Answer with explanation:</h2>

As per given , we have

\hat{p}=0.48   , n=331

Critical value for 90% Confidence interval : z_{\alpha/2}=1.645

a) Confidence interval :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : (0.45254,\ 0.50746)

b) Margin of error : E=1.5%=0.015

Formula for sample size : n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

For p =0.48 , we  have

n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002

Hence, the required sample size to survey = 3002

6 0
2 years ago
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