Mike can be paid in one of two ways based on the amount of merchandise he sells: Plan A: A salary of $1,000.00 per month, plus a commission of 10% of sales, OR Plan B: A salary of $1,300.00 per month, plus a commission of 15% of sales in excess of $9,000.00. For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00? Write your answer an an inequality involving x, where x represents the total monthly sales.

Answers

Answer 1

Answer:

X > 21000

Step-by-step explanation:

Given the following :

Payment plans :

PLAN A:

salary = $1000 per month

Commision = 10% of sales

PLAN B:

salary = $1300 per month

Commision = 15% of sales in excess of $9,000

Hence, for plan B; 15% is paid after deducting $9000 from total sales

For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?

That is ;

Plan B > plan A

Let total sales = x

Plan A:

$1,000 + 0.1x

Plan B:

$1,300 + 0.15(x - 9000)

1300 + 0.15(x - 9000) > 1000 + 0.1x

1300 + 0.15x - 1350 > 1000 + 0.1x

0.15x - 50 > 1000 + 0.1x

0.15x - 0.1x > 1000 + 50

0.05x > 1050

x > 1050/0.05

x > 21000


Related Questions

find the value of (-17)-(40)+25

Answers

Answer:

-17-40+25

=25-57

= -32

2x^3+4x^2+8x Factor the polynomial. solve with steps

Answers

You can find the answer with the steps in the app(cymath)

what is slope 1 and 2? ​

Answers

Answer:

Lets calculate the slope of the line 'l'

Slope is rise over run of a line, so we will see how much the y of the line changes by changing x by 1

So, basically we will select a point on the line and see how much the y-value increases for the point rightward to our point

we see that the y increased by 1 and hence, its slope is 1

Now, the slope of line 'k'

again, we will select a point and go one point to the right

here, we see that the y increases by 2

therefore the slope of line 'k' is 2

slope of e is 1
slope of k is 2

you go up one and right one on "e", 1 / 1 is 1.
you go up two and right one on "k", 2 / 1 is 2.

-1-3=
A. -5
B. 2
C. -4
D. 4

Answers

Answer:

-4

Step-by-step explanation:

subtracting form a negative will result in a negative number

Answer:

c)-4

Step-by-step explanation:

-1 minis 3 is 3 less that -1

Use the equation to answer the question.
p+ 4 = 15
What is the value of p?
A. 6
B. 9
C. 11
D.19

Answers

The answer is 11 because you subtract 4 from 15 to find P

Answer:

C. 11

Step-by-step explanation:

15-4=11

Mark walks to school in 3 minutes. It takes Darnell 4 times as long to walk to school as it does Mark. How long does it take Darnell to walk to school?

Answers

Answer:

12 minutes

Step-by-step explanation:

Mark walks in 3 minutes. Darnell walks 4 times as long to walk to school as Mark did.

You need to multiply 3 x 4 = 12 minutes

Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.

Answers

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = [tex]\frac{1.4}{100}[/tex] x 130

                  = 0.014 x 130

                  = 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

A train can travel at a rate of 85 miles per hour. At this rate, how many hours will it take the train to go 102 miles

Answers

Answer:

[tex]Time = 1.2\ hours[/tex]

Step-by-step explanation:

Given

[tex]Speed= 85\ miles/hour[/tex]

Required

Determine the time for 102 miles

In this case, we make use of Speed formula as follows:

[tex]Speed = \frac{Distance}{Time}[/tex]

This gives:

[tex]85 = \frac{102}{Time}[/tex]

Solve for Time

[tex]Time = \frac{102}{85}[/tex]

[tex]Time = 1.2\ hours[/tex]

Hence, the time needed is 1.2 hours

find the percentage decrease if a players batting average dropped from 0.273 to 0.265 in one season.

Answers

Answer:

[tex]\huge\boxed{2.93\%}[/tex]

Step-by-step explanation:

Calculate the difference:

[tex]0.273-0.265=0.008[/tex]

Calculate the ratio:

[tex]\dfrac{0.008}{0.273}=\dfrac{0.008\cdot1000}{0.273\cdot1000}=\dfrac{8}{273}[/tex]

Convert to percentage:

[tex]\dfrac{8}{273}=\dfrac{8}{273}\cdot100\%=\dfrac{800}{273}\%\approx2.93\%[/tex]

Explain how an enlargement of reduction in the dimensions of a building would cause a change in the scale factor.

Answers

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Answer:

The scale factor is a proportional relationship.   The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship. Enlargements have a scale factor greater than 1.  Reductions have a scale factor between 0 and 1. The proportion should be preserved.

Hope this Helps!

Salt and sugar give two distinctly different taste, one salty and the other sweet. In a mixture of salt and sugar, it is possible for the mixture to be salty, sweet or both. Will any of these mixtures taste exactly the same?

Mixture A: 2 cups water, 4 teaspoons salt, 0.25 cup sugar
Mixture B: 1.5 cups water, 3 teaspoons salt, 0.2 cup sugar
Mixture C: 1 cup water, 2 teaspoons salt, 0.125 cup sugar
Group of answer choices

All of the answers

None of the answers

Mixture B and C

Mixture A and B

Mixture A and C

Answers

Answer:

i just took the test and its A and C

Step-by-step explanation:

fter production, a computer component is given a quality score of A, B, and C. On the average U of the components were given a quality score A, ( of the components were given a quality score B, and of the components were given a quality score C. Furthermore, it was found that actually of the components given a quality score A failed, of the components given a quality score B failed, and of the components given a quality score C failed. 11-A. What is the probability that a randomly selected component is NOT failed and received a quality score B

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In the given question some of the data is missing so, its correct question is defined in the attached file please find it.

Let

A is quality score of A

B is quality score of B

C is quality score of C

[tex]\to P[A] =0.55\\\\\to P[B] =0.28\\\\\to P[C] =0.17\\[/tex]

Let F is a value of the content so, the value is:

[tex]\to P[\frac{F}{A}] =0.15\\\\\to P[\frac{F}{B}] =0.12\\\\\to P[\frac{F}{C}] =0.14\\[/tex]

Now, we calculate the tooling value:

[tex]\to p[\frac{C}{F}][/tex]

using the baues therom:

[tex]\to p[\frac{C}{F}] = \frac{p[C] \times p[\frac{F}{C} ]}{p[A] \times p[\frac{F}{A}] + p[B] \times p[\frac{F}{B}]+p[C] \times p[\frac{F}{C}] }[/tex]  

            [tex]= \frac{ 0.17 \times 0.14 }{0.55 \times 0.15 + 0.28 \times 0.12 + 0.17 \times 0.14 } \\\\= \frac{0.0238}{0.0825 + 0.0336 + 0.0238} \\\\= \frac{0.0238}{0.1399} \\\\=0.1701[/tex]

Graph the line with slope -1 passing through the point (2,-4)

Answers

Answer:

put a dot on point (2,-4) then go one to the right and one down hope this helps

Step-by-step explanation:

The equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

What is the equation of a line?

The equation of a line is the relation between the x-coordinates and y-coordinates of the points on the line, such that all (x, y) points, satisfies this equation.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

How to solve the question?

In the question, we are asked to graph the line with slope -1, and passing through the point (2, -4).

We know that, the slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

Substituting m = -1, x = 2, and y = -4, in the equation, we get:

-4 = -1(2) + b,

or, b = -4 + 2 = -2.

Thus, the equation of the line is: y = -1(x) - 2,

or, x + y = -2.

Thus, the equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

The graph for the equation is attached.

Learn more about equations of line at

https://brainly.com/question/18035751

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multiplatication (x + 3)2​

Answers

Answer: x^2+6x+9

Step-by-step explanation:

this will factor out to

X^2+6x+9

Answer:

x^2 + 6x + 9

Step-by-step explanation:

This is asking for (x+3) (x+3)

Using the FOIL method

(x * x) First, x times x

+ 3x Outside, x times 3

+ 3x Inside, x times 3

+ 9 Last, 3 times 3

Therefore, we have

(x*x) + 3x + 3x + 9

And simplified

x^2 + 6x + 9

The sale rack at the department store said that an additional 30 percent discount would be taken on all items. If a dress on the sale rack had an original price of $86 and was already marked down by 25 percent, what is final cost of the dress before taxes? $38.70 $45.15 $47.30 $60.20

Answers

Answer:

45.15

Step-by-step explanation:

Answer: 45.15

Step-by-step explanation:

Lillian earned $397.50 at her job when she worked for 25 hours. What was her hourly wage, in dollars per hour? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Answers

Answer:

$15.9

Step-by-step explanation:

$397.5 = 25 hour

=> x dollars = 1 hour

=> 397.5 * 1 = 25 * x

=> 397.5 = 25x

=> 397.5/25 = 25x/25

=> 15.9 = x

So, for 1 hour he earns $15.9

(4x+5)-(3x-3) write this in the simpilest form pls explain

Answers

Answer:

x+8

Step-by-step explanation:

4x-3x=x

5-(-3)=8 or 5+3=8

Reason its adding is because a - times a - equals a positive

Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
q(t) = (2t2 + 3)/t2
(a) q(2)


(b) q(0)


(c) q(−x)

Answers

Answer:

The function values of [tex]{q(2)}[/tex] is [tex]\bold{\dfrac{11}{4}}[/tex], [tex]q(0)[/tex] is UNDEFINED and [tex]q(-x)[/tex] is [tex]\bold{2+\dfrac{3}{x^2}}[/tex]

Step-by-step explanation:

Given,

[tex]q(t)=\dfrac{2t^2+3}{t^2}[/tex]

Part (a)

Find [tex]q(2)[/tex]

Put [tex]2[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(2)[/tex].

Therefore,

[tex]\begin{aligned}q(2)&=\dfrac{2\times2^2+3}{2^2}\\&=\dfrac{8+3}{4}\\&=\dfrac{11}{4}\end{aligned}[/tex]

Part (b)

Find [tex]q(0)[/tex]

Put [tex]0[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(0)[/tex].

[tex]\begin{aligned}q(0)&=\dfrac{2\times0^2+3}{0^2}\\&=\dfrac{3}{0}\\&=\infty\end{aligned}[/tex]

Part (c)

Find [tex]q(-x)[/tex]

Put [tex]-x[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(-x)[/tex].

Therefore,

[tex]\begin{aligned}q(-x)&=\dfrac{2\times(-x)^2+3}{(-x)^2}\\&=\dfrac{2x^2+3}{x^2}\\&=2+\dfrac{3}{x^2}\end{aligned}[/tex]

When I say f(x) is continuous at x = C, what exactly does that mean?

Answers

when the independent variable (x) is equal to C, it will continue without stopping when plotter on a graph

If 2 1/4 pounds of bananas cost $1.89, what is the cost per pound?

Answers

Answer:

84 cents a pound divide 2 1/4 by 1.89 equals 0.84

Step-by-step explanation:

:)

Least to greatest
913.601
912.21
913.61
912.202

Answers

Answer:

Least to greatest

Step-by-step explanation:

912.202

912.21

913.601

913.61

Add zero's next time, (to 912.21  and 913.61 . It could help.)

please explain how you get your answer!! Thanks :) questions below:

What is the simplified expression for 4^-3 x 3^4 x 4^2/3^5 x 4^-2
A. 3/4
B. 4/3
C. 4^2/3
D. 3^3/4

Answers

Step-by-step explanation:

4^2/3

but I got 4^-3/3

hope help ful

HELPP SOMEONEEE 12 POINTS !!
Which word describes the slope of the line?
positive
O negative
O zero
O undefined

Answers

Answer:

Undefined it looks like, if not,  it is zero.

Step-by-step explanation:

:>

What is the slope of line n?

Answers

Answer:

-2x,y5

Step-by-step explanation:

Hope this helped

The double number line shows the amount of time a hen needs to lay 111 egg.



Complete the table to show the same information as the double number line.
Eggs Time (hours)
3
100
12

Answers

Step-by-step explanation:

3/75

4/100

12/300

The completed table is:

Eggs                                 Time (hours)

  3                                            75

 100                                        2500

  12                                          300

What is a double-number line?

In a double number line diagram, equivalent ratios are represented by two parallel number lines.

Given that, the hen takes 25 hours to produce 1 egg.

1 egg = 25 hours

3 eggs = 25 × 3 hours

3 eggs = 75 hours

Similarly,

100 eggs = 2500 hours

and,

12 eggs = 300 hours

Hence, the completed table is:

Eggs                                 Time (hours)

  3                                            75

 100                                        2500

  12                                          300

Learn more about the double number line:

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is 7/2 and 16/6 a proportion

Answers

Answer:

No, because 7/2 can be simplified to 21/6, and that is not proportional.

Step-by-step explanation:

whats the remainder to 5,323 ÷ 34

Answers

The answer is 156.558824

Answer:

the answer is

Step-by-step explanation:

156.558 or 157.0

or

0.0060

I need help with the last question help plz

Answers

No it won’t cause 7 6/11 is bigger then 7.5

3(n+1)= 5.4 enter the answer in the box n=?

Answers

n= 0.8
this is the answer to ur problem

Find the volume of the solid . Round your answer to two decimal places .

Answers

Answer:

3751.25 cm³

Step-by-step explanation:

Hi there !

Volume (sphere) formula

V(s) = (4/3) × π × r³

we have two hemisheres

V(h) = (4/3) × π × r³ /2

= (2/3) × π × r³

V₁ = 2/3 ₓ π ₓ (12cm)³

= 2/3 ₓ π ₓ 1728cm³

= 1152π cm³

V₂ = 2/3 ₓ π ₓ (4cm)³

= 2/3 ₓ π ₓ 64cm³

= 128π/3 cm³

V = V₁ + V₂

= 1152π cm³ + 128π/3 cm³

= 3617.28 cm³ + 133.97 cm³

= 3751.25 cm³

Good luck !

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