Answer:
(A) 308 clocks
(B) 423 clocks
Step-by-step explanation:
The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.
contribution margin = selling price - variable cost - purchase price
contribution margin = $84 -5 -53 = $26
__
(A)To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:
26b ≥ 8000
b ≥ 8000/26
b ≥ 307.7
The owner must sell 308 clocks each month to break even.
__
(B)To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.
26p ≈ 11000
p ≈ 11000/26 ≈ 423.08
The owner must sell about 423 clocks each month to earn a profit of about $3000.
__
Additional comment
Selling 423 clocks will yield a profit of $2998.
A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?
The value of the quantity after 1 year, to the nearest hundredth is 4000.00
The exponential form of an equationThe standard exponential equation is eexpressed as:
[tex]P(t)=P_0e^{kt}[/tex]
Given the following parameters
[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]
Substitute into the formula to have:
[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]
Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00
Learn more on exponential equations here: https://brainly.com/question/12940982
What simple interest rate would you pay if you borrowed $5000 and paid back $6000 as promised after 5 years?
Enter the rate as a %.
(Use integers or decimals for any numbers in the expression.)
Answer:
4%
Step-by-step explanation:
6000 x 100 / 5000 = 120
after 5 years the total interest is 20%
each year interest = 4%
( 4 x 5 =20 )
A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.
Answer:
23 gallons
Step-by-step explanation:
Given:
A barn is shaped like a rectangular prism with a triangular prism on top as shown.
The exterior four walls and two triangular faces need to be repainted.
To Find:
If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?
Solve:
[tex]12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2[/tex]
= [tex]5336\;square\;feet[/tex]
[tex]\frac{5336}{232}=23[/tex]
Hence 23 gallons to repaint the barn
~lenvy~
-8 - (-2) = X
X = ?
WHAT IS X ?
Find the area of the shaded polygons.
Answer: 372 sq. un
Step-by-step explanation:
7+24=31
Divided by 2 = 15.5
15.5x24 = 372
What is the five-number summary of this data set?
{425, 255, 267, 507, 307, 435, 253, 250, 433}
What is the five-number summary of this data set?
{425, 255, 267, 507, 307, 435, 253, 250, 433}
Drag the numbers into the boxes to correctly complete the five-number summary.
Answer:
min250 max507 Q1=307 Q2=255 Q3=435
Step-by-step explanation:
The five-number summary of this data set is {250, 255, 307, 435, 507}
How to find the mean of a data set?
Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
We are given that;
The data set= {425, 255, 267, 507, 307, 435, 253, 250, 433}
Now,
The five-number summary of a data set consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum12.
To find the five-number summary of this data set, follow these steps:
Put the numbers in ascending order: {250, 253, 255, 267, 307, 425, 433, 435, 507}
Find the minimum: The smallest number is 250
Find the maximum: The largest number is 507
Find the median: The middle number is 307
Find Q1: The median of the lower half of the data is 255
Find Q3: The median of the upper half of the data is 435
Therefore, by the mean the answer will be {250, 255, 307, 435, 507}
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700 mL of Tata cooking oil costs $189. Xtra cooking oil sells for $300 per litre. Which is the better buy?
Answer:
Tata oil
Step-by-step explanation:
0.7 L of Tata cooking oil = $1891 L of Xtra cooking oil = $300Per 0.1 L
Tata oil = 189/7 = $27Xtra oil = 300/10 = $30Tata oil is the better buy
What numbers round to 200,000 when rounded to the nearest hundred thousand? Select all that apply.
165,400 and 220,574
=================================================
Explanation:
The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.
The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.
-------------------------
In 220,574 we have the first "2" in the hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.
220,574 is closer to 200,000 than it is to 300,000.
These two sections help show why choices C and D are the answers.
--------------------------
Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.
Choice A rounds to 100,000 as well, so we can rule it out also.
Choice D rounds to 1,000,000 which means we cross it off the list.
Maria is making custom designs using these small trapezoidal prisms. She wants to cover each of the 9 prisms in her current design in floral cloth on all sides. She has 3000 square centimeters of floral cloth.
Does Maria have enough cloth to cover all 9 prisms in her current design?
Choose from the drop-down menus to correctly complete the statement.
The combined surface area of the prisms is
Choose...
cm², therefore Maria
Choose...
have enough cloth for her current design.
Combined surface area of the 9 prisms is: 3,420 cm².
Maria DOES NOT have enough cloth for her current design.
What is the Surface Area of Trapezoidal Prism?The surface area of trapezoidal prism = PH + (b1+b2)h
The custom design is a trapezoidal prism.
Find the surface area of one trapezoidal prism given the following dimensions:
Perimeter of trapezoid = P = 5 + 15 + 10 + 10 = 40 cm
b1 = 5 cm b2 = 15 cm h = 7 cm H = 6 cmPlug in the values into the formula
Surface area of 1 trapezoidal prism = (40)(6) + (5 + 15)7 = 380 cm²
Combined surface area of the 9 prisms = 9 × 380 = 3,420 cm².
Since Maria's flora cloth is 3,000 cm², therefore, she DOES NOT have enough cloth for her current design.
Learn more about surface area of trapezoidal prism on:
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For those of you too lazy to read, here is the answer. :-)
The combined surface area of the prisms is 3420 cm², therefore Maria does not have enough cloth for her current design.
Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.
A. 2 12/16 = 2 3/4 Ib
B. 2 2/8 = 2 1/4 Ib
C. 2 14/16 = 2 7/8 Ib
D. 2 1/2 Ib
The measured weight is (2 + 3/4) lb, so the correct option is A.
How to read the measure?
First, we can see that the needle is between the 2lb and 3lb mark, so we know that we have a measure between these two values.
Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:
(2 + 12/16) lb.
Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:
12/16 = 3/4
Then the weight is:
(2 + 3/4) lb
Then the correct option is A.
If you want to learn more about weight, you can read:
https://brainly.com/question/11408596
Answer: Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:
(2 + 12/16) lb.
Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:
12/16 = 3/4
Then the weight is:
(2 + 3/4) lb
Then the correct option is A.
Step-by-step explanation:
Help with this answer
Answer:
down syndrome
Step-by-step explanation:
Determine which of the triangles below are unique. Share your reasoning.
Triangle A: All angle measure 60 degrees
Triangle B: All sides have length 6 cm.
Triangle C: Two sides have length 6 cm, and the included angle measures 55
degrees
Triangle D: Base has length of 6 cm, and the base angles are 50 degrees.
Answer:
Triangle A and Triangle BStep-by-step explanation:
I think this is the answer because Triangle A, has a unique that all sides have a measure of 60 degrees. And I also think that Triangle B is unique because It's an Equilateral triangle, which means that all sides have the same length.
So hence, I think the answer is A and B
-------------------------------------------------------------------------------------------------------------
Always keep more than 2 smiles! You have to share them with people who don't have one too, right??
Thanks!
:D
What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Hello!
In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:
29, 22, 23, 31, 29, 29, 22, 23
The smallest number is 22, then 23, then 29, then 31:
22, 22, 23, 23, 29, 29, 29, 31
How many numbers are in this set? 8. An even number!
So we find the mean of the 2 numbers in the middle (23 & 29)
We add these numbers and then divide by 2 (because we have 2 numbers)
[tex]\bf{\displaystyle\frac{23+29}{2}}[/tex]
[tex]\bf{\displaystyle\frac{52}{2}}[/tex]
Which is equal to
[tex]\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.
Answer:
Yes, She is correct.
Step-by-step explanation:
Pythagorean theorem:
base² + altitude² = hypotenuse²
k² + k² = j²
Add the like terms. Like terms have same variable with same power.
2k² = j²
Let f(x)=3/4x2-1 The function g(x) is a vertical stretch of f(x) by a factor of 8.What is the equation of g(x)?
Answer:
g(x) = 6x^2-1
Step-by-step explanation:
f(x)=3/4x^2 −1.
A vertical stretch by a factor of 8 you multiply the number with x by the factor:
3/4 x 8 = 6
g(x) = 6x^2-1
The mean weight of three people in a lift was 62kg. If two of them weighed 55kg each, how much did the third person weigh?
Answer:
72 kg
Step-by-step explanation:
let weight of third person=x
62-55=x-62
7=x-65
x=7+65=72 kg
The graph of f(x) is shown. For what values of X does f(x)= 0
-1,1,2
-2,-1,1
-3,-1,1
-1,1,3
Answer:
-3, -1, 1
Step-by-step explanation:
The values of x when f(x) = 0 are the points on the graph when the curve intercepts the x-axis.
From inspection of the graph, the curve intercepts the x-axis at
x = -3, x = -1 and x = 1
Complete the table percent fraction and decimal
Answer:
140% - 7/5 - 1.4
4% - 1/25 - 0.04
56% - 2.8/5 - 0.56
95% - 19/20 - 0.95
Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
Final grade: 93.9%
Step-by-step explanation:
The weights are as follows: 0.25, 0.10, 0.30 and 0.35. Note that these add up to the whole, that is, to 1.00.
Then the final grade is:
0.25(94) + 0.10(99) + 0.30(92) + 0.35(94) = 93.9
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
A.. $156.72
B. $177.38
C. $180.06
D. $257.44
The gross income earned by the workers if paid time and a half on Saturdays and double time on Sundays is $180.06
How to find gross incomeTotal = 10.75(1.5)(x) + 10.75(2)(y)
where,
x = hours worked on Saturday = 4.5 hoursy = hours worked on Sunday = 5 hoursTotal = 10.75(1.5)(4.5) + 10.75(2)(5)
= 72.5625 + 107.5
= $180.0625
Approximately,
$180.06
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For a moving object, the force acting on the object varles directly with the object's acceleration. When a force of 45 N acts on a certain object, the acceleration
of the object is 5 m/s?. If the force is changed to 63 N, what will be the acceleration of the object?
Answer:
acceleration,A = 7
Step-by-step explanation:
F = kA
First expression: 45 = 5k, k = 9
therefore, when F = 63, A = 63/9 = 7
The length of a rectangle is 3 inches more than it’s width.If the perimeter is 42 inches,find the dimensions of the rectangle.
Answer: Length = 9 in
Width = 12 in
Step-by-step explanation:
Length L = 3 + W
Perimeter P = 42 in
Perimeter = 2L + 2W
plugin values:
42 = 2(3 + W) + 2W
42 = 6 + 2W + 2W
42-6 = 4W
W = 36 / 4
W = 9
solve L by substituting the value of W=9 into the equation:
L = 3 + W
L = 3 + 9
L = 12
therefore, the dimensions of the rectangle:
Length = 9 in
Width = 12 in
Answer:
Answer:
length = 9 in
width = 12 in
Step-by-step explanation:
You have to use the formula for the perimeter of a rectangle
P=2(l+w)
Help picture below problem 14
Answer:
100
Step-by-step explanation:
Since l and r Parrell lines that means the measure of 4 is 80 since there vertical angles. And then 1 and 4 needs to be supplementary which means the two angles combined equals 180. so 180-80=100
so 1s angle measure is 100
A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c
Answer:
[tex] - \frac{1}{2} x - y + 3 = 0[/tex]
Step-by-step explanation:
as shown in drawing
Which rectangular equation represents the parametric equations x = t Superscript one-half and y = 2t? y = 4x2 y = 2x2 y = StartRoot 2 x EndRoot y = 2 StartRoot x EndRoot
The rectangular equation which represents the parametric equations x =t^(1/2) and y = 2t is; y=2x².
Generating equations from Parametric equationsAccording to the task content;
It follows that the parametric equations given are; x =t^(1/2) and y = 2t.
Since x =t^(1/2), then it follows that; x² = t.
Therefore, by substituting x² for t in y= 2t, then we have; y = 2x².
Read more on Parametric equations;
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Answer:
B on edg!
Step-by-step explanation:
just did the assingment
A cylinder has a diameter of 10 inches and a height of 14 inches. what is the volume of the cylinder? use 3.14 for pi?
_______cubic inches
Answer:
Volume of cylinder is 1099 in³[tex]\\[/tex]
Step-by-step explanation:
[tex]\\[/tex]
Diameter of cylinder = 10 inchesHeight of cylinder = 14 inches[tex]\\[/tex]
We know that,
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2} \\ \\[/tex]
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{10}{2} \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}} \\ \\ [/tex]
Using formula:
[tex] \: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \\ \\ [/tex]
Where,
r is radius of the cylinderh is height of the cylinderπ = 3.14[tex]\\[/tex]
Substituting the required values in the formula:
[tex]\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 78.5 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}} \\ \\ [/tex]
Hence,
Volume of the cylinder is 1099 in³The directions are with the pic below. It’s 2 parts of this equation. I’ll send the other part. Couldn’t all fit on the page.
Answer:
Step-by-step explanation:
Carl is arranging 86 chairs for a
dinner party. Carl places 5 chairs at
each table. Any remaining chairs will
be set aside. How many tables will
have 5 chairs?
Solve the equation X=
Step-by-step explanation:
I think the answer is x=70
Solve on [0,2pi). Answer in order from smallest to biggest
cos x sin x = sin x
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π