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fomenos
3 years ago
6

An employee at a clothing store makes a base salary of $2,800 a month plus 6.75% of the sales that they make. The function E(s)=

0.0675s +2800 represents the monthly earnings, E(s) , in terms of s , the monthly sales. What are the monthly earnings for an employee who sells $8,000 worth of clothing during a month?
Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0

Answer:

3,340$

Step-by-step explanation:

e(8000)=.0675(8000)+2800

e(8000)=540+2800

e(8000)=3340

You might be interested in
Is y =3/4x +2 And -6x+8y=16 parallel or coincident
Rudiy27

Answer:

parallel

Step-by-step explanation:

y=3/4x+2

Multiply the equation by 8:

8y=6x+16

(8y-6x)=16

and you can clearly see that they're same

4 0
3 years ago
there is $3080 in the math department fund. They need to deposit enough money in the fund to pay for a shipment work $2800, and
tiny-mole [99]

Answer:

3080+d > = 3300

Step-by-step explanation:

The first question to ask is how much money do they need in the fund?

They need the shipment costs plus the future shipment costs

2800+500 = 3300

They have 3080

Let d = how much they need to deposit

How much they have plus how much they need to deposit must be greater than or equal to how much they need.

3080+d > = 3300

4 0
2 years ago
Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of
alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

  m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

  (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

- The standard form of the linear equation is Ax + BC = C, where

  A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

 the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

 parallel bases and which of them are the non-parallel bases

# The side RS

∵ m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}

# The side ST

∵ m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}

# The side TU

∵ m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}

# The side UR

∵ m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

 median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

   the nonparallel sides

∵ The midpoint of RS = (\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

  midpoint of RS  

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

7 0
3 years ago
Pleaseeeeee help meeee answer number 3,5 and 7 they are hard for me to do
Liula [17]

Answer:

5. 52+56 < 49x -46x

108< 3x

108/3< 3x/3

36

8 0
2 years ago
A department within an agency is randomly chosen each week for auditing. If there are 25 departments, what is the chance that an
Alexandra [31]

<u>Answer:</u>

The chance that any single department is chosen for auditing in a given week is 0.04%

<u>Explanation:</u>

Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.

Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments

which is equal to 1/25

1/25 = 0.04%

which is the chance of percentage of choosing a department

8 0
3 years ago
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