9. Joanna is considering two job offers. Phoenix Fashions offers

$1500/month plus 2.5% commission. Styles by Rebecca offers

$1250/month plus 5.5% commission.

a) Create a linear system by writing an equation for each salary.

b) What value of sales would result in the same total salary

for both jobs?

c) Which job should Joanna take? Explain your answer.

Answers

Answer 1

Answer:

A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333

C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if  prefers additional incentive over fix salary.

Step-by-step explanation:

Let the sales be = x

A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x

Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x

B] Value of sales, resulting in total salary : at equation 1 = equation 2

1500 + 0.025x = 1250 + 0.055x

1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x

x = 250 / 0.03 →  x (Sales value) = 8333

C] Which job she should take, would depend on her preferences.

If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%


Related Questions

What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.

Answers

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation:

solve for cos(57)=x/15

Answers

Step-by-step explanation:

cos(57)=x/15

0.544×15=xx=8.16

stay safe healthy and happy.

Answer:

If you mean 57 degrees then the answer is 8.1695...

If you mean 57 radians then the answer is 13.498...

Step-by-step explanation:

Isolate the x by multiplying 15 on both sides

15 x cos(57) = x

Determine whether the point (-3,-6) is in the solution set of the system of inequalities below
y5/3x+2
A) There isn't enough information given
B) The point (-3,-6) is not in the solution sei.
C)The point (-3-6) is in the solution set.
D) The point (-3,-6) is in the solution set under certain conditions.

Answers

Answer:

A

Step-by-step explanation:

There isnt enough information given.

Hope it helps u

Please mark as the brainliest

If 50% of the basketball players scored fewer than 8 points in the tournament, what is the approximate probability that a basketball player
who practiced for more than 3 hours scored fewer than 8 points?
A. 0.04
B. 0.05
C. 0.10
D. 0.12

Answers

Step-by-step explanation:

A because you divide shshehxyhdjdhxhdhd

find the volume of the rectangular prism below 3.6ft, 2.7ft, 8.1ft

Answers

Answer:

78.732

Step-by-step explanation:

Volume is length x width x height so
3.6 x 2.7 x 8.1 is 78.732

A restaurant offers three types of meats: chicken, beef,
and pork. The waiters surveyed 50 customers at random
about their favorite type of meat. The results are listed in
the table and on the graph below. If the restaurant
orders 400 pieces of meat, how many pieces should be
chicken?

Answers

Answer:

200

Step-by-step explanation:

If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.

If [tex]\frac{50}{chicken}[/tex] = [tex]\frac{50}{25}[/tex] = [tex]\frac{1}{2}[/tex], then [tex]\frac{400}{chicken}[/tex] = [tex]\frac{400}{2}[/tex] = [tex]2[/tex]

I hope that makes sense :)

Find AB. Round to the nearest tenth if necessary.

Answers

Answer:

I think the right answer would be 7

Step-by-step explanation:

We got-ta use the equation: CA * BA = DA²

CA = 15 + BA

DA² = 8² = 64

=> (15 + BA) BA = 64

Subtract 15 from each side:

BA(BA) = 49

BA² = 49

Now take the square root of each side

BA = 7

Hope this helps!

A pyramid has a(n)
for a base and a number of
that all meet at the
same
A. edge; faces; plane
B. altitude; edges; point
C. polygon; faces; vertex
D. polygon; points; point

Answers

Answer:

I believe C

Step-by-step explanation:

hope this helps

Estimate the radius of the object. Round to the nearest hundredth if necessary.

A circular sewer cover with circumference labeled 122 inches.

Answers

Answer:

The radius is 19.42 inches.

Step-by-step explanation:

Start with the formula for finding the circumference of a circle, which is C=2[tex]\pi[/tex]r.

Then, derive the formula in order to find the radius, which the formula should then look like r= C/2[tex]\pi[/tex].

Finally, plug in the corresponding numbers, which is r= 122 inches/ 2[tex]\pi[/tex]. The final answer is 19.42 inches.

Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:  89 will go in the box

This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

I'm currently freaking out right now. How long would it take me to get somewhere going 5 mph(on average) going to a place that is 6.2 miles away? I'm sneaking out tonight and i need to know what time to leave:) if you could leave an answer that actually helps, it would be appreciated

Answers

Answer:

31

Step-by-step explanation:

I think the correct answer is 31

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the pyramid is 9.8\text{ ft}9.8 ft.

Answers

The volume of the pyramid is 23.375 ft^3.

We have,

Volume = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.

The perimeter of a square is equal to 4 times the length of one side.

Let's denote the length of one side of the square base as s.

And,

4s = 10.7

Solving for s:

s = 10.7 / 4 = 2.675 ft

Base Area = s^2

Plugging in the value of s:

Base Area = (2.675 ft)^2 = 7.156 ft^2

Now,

Volume = (1/3) * Base Area * Height

Volume = (1/3) * 7.156 ft^2 * 9.8 ft

Volume = 23.375ft^3 (rounded to six decimal places)

Therefore,

The volume of the pyramid is 23.375 ft^3.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ4

#15: A shipment to a warehouse consists of 2,000 watchbands. The
manager chooses a random sample of 50 watchbands and finds that 2 are
defective. How many watchbands in the shipment are likely to be
defective?
watchbands
HELP

Answers

2 out of 50 are defective.

Divide 2 by 50: 2/50 = 0.04

Now multiply the total quantity by that:

2000 x 0.04 = 80

80 are likely to be defective.

Question is in the screenshot...

Answers

Step-by-step explanation:

m L 1 = 130° (alternate interior angles)

m L 2 = 180°- m L 1 (supplementary)

= 180° - 130° = 50°

Vertical angles are supplementary

m<2

180-13050°

m<1

180-50130°

Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.​

Answers

Answer:

y = -⅓x - 5

Step-by-step explanation:

the slope of g(x) = 3

=> the slope of the line perpendicular

to g(x) = -1 /3

so,

the line is :

y +5 = -⅓(x-0)

y = -⅓x - 5

y=3x-0.77

On comparison to slope intercept form

slope=m=3

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line=-1/3

Equation

y+5=-1/3xy=-1/3x-5

2. Alexis bought four jars of pickles. The total mass of the four jars was 12 kilograms. What is the mass, in grams, of each jar of pickles? Anwsers:​

Answers

Answer:

it´s 3,000

Step-by-step explanation:

The answer is J 3,000grams

Calcula la hipotenusa del triángulo rectángulo cuyos lados miden 8 y 9

Answers

Respuesta:

12.04 pero puede ser 12

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 9^2 = c^2

64 + 81 = 145^2

√145 = 12.04 = 12

pls help and show work! giving brainliest and thanks :)

Answers

Answer:

Step-by-step explanation:

mean : added up the values and divide the result by the number of the values

Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30

Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45

The difference between the two mean is 15 cents or $0.15

Departmental Store Agora claims that their mean weekly sales of Aerosol were at most 2,400 packages over the past 6 months and population distribution is unknown. The manager wants to check if the sales have decreased in recent times. He obtained a random obtained sample of sales data from 61 stores and found that the sample mean is 3,593 packages with sample standard deviation 4919. At 7% significance level, using critical value approach see if the claim is true or not.

Answers

Answer:

There is enough statistical evidence to suggest that the department's claim is not true

Step-by-step explanation:

The mean weekly sales μ₀ ≤ 2,400 packages

The period over which the weekly sales were measured = Over the last 6 months

The number of stores in the sample, n = 61 stores

The sample mean, [tex]\overline x[/tex] = 3,593

The sample standard deviation, s = 4919

The significance level = 7% = 0.07

The critical value approach

The null hypothesis, H₀; μ ≤ μ₀

The alternative hypothesis, Hₐ; μ > μ₀

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

We get;

[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]

With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t,  = 1.495598

The p-value at the test statistic is between 0.01 and 0.005

Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.

Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages

If NP= 9 and MP = 15, What is the length of OP

Answers

Answer: 5.4

Step-by-step explanation:

Find the missing side or angle.
Round to the nearest tenth.
A=15°
C= 120°
b=3
c=[? ]

Answers

Answer:

3.7

Step-by-step explanation:

Acellus

A. X = 18
B. X = 48
C. X = 82
D. X = 98

Answers

Answer:

b. x=48

Step-by-step explanation:

just try each one until you get an answer that equals to 180 degrees

Answer:

the answer is b.X=48....

A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent.​

Answers

Answer:

Step-by-step explanation:

A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent

Q8. Look at the image.

Answers

Answer:

Option B

Step-by-step explanation:

Quadratic equation given in the question is,

[tex]x^2+4x+2=0[/tex]

By comparing this equation with the standard quadratic equation,

[tex]ax^2+bx+x=0[/tex]

[tex]a=1,b=4[/tex] and [tex]c=2[/tex]

By using quadratic formula to get the roots of the given quadratic equation,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

By substituting the values of a, b and c in the formula,

[tex]x=\frac{-4\pm\sqrt{4^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16-8}}{2}[/tex]

[tex]x=\frac{-4\pm\sqrt{8}}{2}[/tex]

[tex]x=\frac{-4-\sqrt{8}}{2},\frac{-4+\sqrt{8}}{2}[/tex]

[tex]x=-3.414,-0.5857[/tex]

[tex]x=-3.41,-0.59[/tex]

Therefore, Option B will be the answer.

Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured in millions.

Answers

Answer:

[tex]B(4) > A(4)[/tex]

[tex]t = 6[/tex]

Step-by-step explanation:

Given

[tex]City\ A \to Purple[/tex]

[tex]City\ B \to Blue[/tex]

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

[tex]A(4)= 1.8[/tex]

[tex]B(4) = 2.6[/tex]

By comparison:

[tex]B(4) > A(4)[/tex] because [tex]2.6 > 1.8[/tex]

Solving (b): When is A(t) = B(t)

From the readings of the graph

[tex]A(t) = B(t)[/tex] when [tex]t = 6[/tex]

i.e.

[tex]A(t) = B(t) = 3\ million[/tex]

Can someone help me with this problem please thank youu how do you do it ?

Answers

Answer:

A) x = 6 y = 6√3

Step-by-step explanation:

30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.

Help me with this please!!!!!!

Answers

Answer:

w = [tex]14\sqrt{2}[/tex]

Step-by-step explanation:

Sin(60) = [tex]7\sqrt{6}[/tex] / w

Sin(60) * w =  [tex]7\sqrt{6}[/tex]

w =  [tex]7\sqrt{6}[/tex] / Sin(60)

w = [tex]14\sqrt{2}[/tex]

Hope this helps!

Help me pleasee I’m timed

Answers

I would love to help but the thing is not loading

Help for brainlest if right

Answers

I think it’s B. 2x9 is 18. then 18 times 15.

Find the area: to the nearest whole number

Answers

Answer:

The area of the composite area is 400 square millimeters.

Step-by-step explanation:

The area of the composite figure ([tex]A[/tex]), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:

[tex]A = w\cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, in millimeters.

[tex]h[/tex] - Height, in millimeters.

If we know that [tex]h = w = 20\,mm[/tex], the area of the composite figure is:

[tex]A = (20\,mm)\cdot (20\,mm)[/tex]

[tex]A = 400\,mm^{2}[/tex]

The area of the composite area is 400 square millimeters.

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