24. Anna, Berta, Charlie, David and Elisa baked biscuits at the weekend. Anna baked 24, Berta


25, Charlie 26, David 27 and Elisa 28 biscuits. By the end of the weekend one of the children had


twice as many, one 3 times, one 4 times, one 5 times and one 6 times as many biscuits as on


Saturday. Who baked the most biscuits on Saturday?



(A) Anna (8) Berta (C) Charlie (D) David (E) Elisa

Answers

Answer 1

At the end of the weekend, Elisa had the most biscuits (168). So, the answer is (E) Elisa baked the most biscuits on Saturday.

To determine who baked the most biscuits on Saturday, we need to calculate how many biscuits each child had at the end of the weekend.

Anna had 24 biscuits, Berta had 25, Charlie had 26, David had 27, and Elisa had 28.

Let's start with the child who had twice as many biscuits as on Saturday. We can divide their total number of biscuits by 2 to get the number they had on Saturday.

If we try this calculation for each child, we find that only Elisa's total number of biscuits (28) is evenly divisible by 2. Therefore, Elisa must be the child who had twice as many biscuits as on Saturday, meaning she had 14 biscuits on Saturday.

We can use a similar process to determine how many biscuits each child had on Saturday:

- The child who had three times as many biscuits as on Saturday must have had a total of 42 biscuits, which means they had 14 biscuits on Saturday.
- The child who had four times as many biscuits as on Saturday must have had a total of 56 biscuits, which means they had 14 biscuits on Saturday.
- The child who had five times as many biscuits as on Saturday must have had a total of 70 biscuits, which means they had 14 biscuits on Saturday.
- The child who had six times as many biscuits as on Saturday must have had a total of 84 biscuits, which means they had 14 biscuits on Saturday.

Now we can add up the number of biscuits each child had on Saturday:

- Anna had 24 biscuits.
- Berta had 25 biscuits.
- Charlie had 26 biscuits.
- David had 27 biscuits.
- Elisa had 14 biscuits.

Therefore, David baked the most biscuits on Saturday with 27.
To determine who baked the most biscuits on Saturday, we need to consider the information given about the multiplication factors (twice, 3 times, 4 times, 5 times, and 6 times) and the initial number of biscuits baked by each child.

1. Anna baked 24 biscuits.
2. Berta baked 25 biscuits.
3. Charlie baked 26 biscuits.
4. David baked 27 biscuits.
5. Elisa baked 28 biscuits.

Now, let's apply the multiplication factors and see which child had the most biscuits at the end of the weekend:

1. Anna: 24 x 2 = 48
2. Berta: 25 x 3 = 75
3. Charlie: 26 x 4 = 104
4. David: 27 x 5 = 135
5. Elisa: 28 x 6 = 168

At the end of the weekend, Elisa had the most biscuits (168). So, the answer is (E) Elisa baked the most biscuits on Saturday.

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Related Questions

What is the product of 0.052 x 0.13?

Answers

Answer:

0.00676

Step-by-step explanation:

Answer:

I did the math, and I think it is .00676. Hope this helps!

Step-by-step explanation:

which angles form a linear pair giving brainliest and points

which angles form a linear pair giving brainliest and points

Answers

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

What is Linear pair?

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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PLEASE HELP ME!! Graph the line, y+4=1/5(x-1)

PLEASE HELP ME!! Graph the line, y+4=1/5(x-1)

Answers

Answer:

Look at picture attached

Step-by-step explanation:

I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)

Edit: The second attachment shows the point you can plot.

PLEASE HELP ME!! Graph the line, y+4=1/5(x-1)
PLEASE HELP ME!! Graph the line, y+4=1/5(x-1)

What is 8 divided by 2(2+2)? Show your work.

Answers

Answer: 1 I’m pretty sure you divide 8 with 2 and then (2+2)  and then lastly do 4÷4 and then get 1.

If your doing PENDAS its right but if your not, it is 16.

Please help with this problem in MATLAB!
P1 20 Array| Given a \( n \times m \) matrix, process it with the following rules: 1. Copy elements greater or equal to 25 in the matrix at original places to generate a new matrix. Elements less than

Answers

"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."

To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.

By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix

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A company has designed a new cereal box. This new box has a height of 25 cm, a width
of 2.5 cm, and a length of 12.5 cm. Cardboard used to create these boxes is purchased
from a wholesale supplier at a rate of 0.00016 cents per square centimeter. What is the
cost to produce each box?

A company has designed a new cereal box. This new box has a height of 25 cm, a widthof 2.5 cm, and a

Answers

Answer:

$0.13 to produce each box.

Step-by-step explanation:

S= ph+2b

p= 12.5+2.5+12.5+2.5=30

h=25

b= 12.5x2.5=31.25

S= (30)(25) +2 (31.25)

S= \(812.5cm^{2}\)

812.5 x 0.00016= 0.13

you are surveying students to find out their opinion of th equiality of food served in the school cafeteria. you decide to poll only those students who but hot lunch on a particular day. is your sample random? explain.

Answers

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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You buy the following at Target:
1 bottle of lotion for $5, 1 t-shirt for $12, 1 birthday card for $3
What is the subtotal: $
You use your Target RedCard and save 5%, what is your savings:
New Subtotal: $
Sales tax is 6%: $
Total: $
4

Answers

The subtotal is $20, Savings is $ 1, New Subtotal is $19, Sales tax is $1.14 and the Total is $20.14

How to determine the subtotal?

A sales discount is a reduced price offered by a business on a product or service

Given:

1 bottle of lotion = $5

1 t-shirt = $12

1 birthday card = $3

Subtotal = $5 + $12 + $3 = $20

If you use your Target RedCard and save 5%, savings will be:

Savings = 5% of Subtotal

Savings = 5/100 × $20 = $1

New Subtotal: $20 - $1 = $19

Sales tax is 6%: 6/100 × $19 = $1.14

Total: New Subtotal + Sales tax = $19 + $1.14 =$20.14

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Use the remainder theorem to find P (3) for P(x) = -x+3x² - 2x-5.Specifically, give the quotient and the remainder for the associated division and the value of P(3).믐Quotient =Х5 ?Remainder = 0p(3) = 0

Use the remainder theorem to find P (3) for P(x) = -x+3x - 2x-5.Specifically, give the quotient and the

Answers

We are given the function

\(P(x)=-x^3+3x^2-2x-5\)

we are to use remainders theorem to find p(3)

Therefore

Given p(3) then x = 3

Hence

\(\begin{gathered} P(3)=-3^3+3(3)^2_{}-2(3)-5 \\ P(3)=-27+27-6-5 \\ P(3)\text{ = -11} \end{gathered}\)

Hence, p(3) = - 11

Therefore, the Remainder is - 11

Finding the quotient

Given

\(\begin{gathered} p(x)\text{ = 3 }\Rightarrow\text{ x = 3} \\ \text{therefore} \\ x\text{ -3 is a factor} \end{gathered}\)

Therefore to find the quotient we will use long division method

\(x-3\sqrt[]{-x^3+3x^{^2}-2x-5}\)

This gives

\(\begin{gathered} \text{ -x}^2\text{ -2} \\ x-3\sqrt[]{-x^3+3x^2-2x-5} \\ \text{ (-) -}x^3+3x^2 \\ ----------------------- \\ \text{ -2x - 5 } \\ \text{ ( - ) -2x}^{}\text{ + 6} \\ -------------------- \\ \text{ - 11} \end{gathered}\)

Therefore, The quotient is

\(-x^2-2\)

From the solution above

P(3) = - 11

Please, let me get the answers in 15 mins. Explain what a
strategy canvas is and how it is used

Answers

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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What is the slope of the line shown below?
AY
10
o
A. 2
(4,8)
B. -2
(2, 4)
C. -4
5
10
15
D. 4
10

What is the slope of the line shown below?AY10oA. 2(4,8)B. -2(2, 4)C. -451015D. 410

Answers

Answer is A
8-4/4-2 = 4/2 = 2

The slope of the line is 2.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

From the line,

Coordinates are:(2, 4) and (4, 8)

Now,

(2, 4) = (a, b) and (4, 8) = (c, d)

Slope.

= (d - b) / (c - a)

= 8 - 4 / 4 - 2

= 4 / 2

= 2

Thus,

The slope of the line is 2.

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WORTH 100! Will literally due anything! DUE TONIGHT!

WORTH 100! Will literally due anything! DUE TONIGHT!

Answers

When we multiply exponents, we add them together. That means that by adding the 8 and 9, we are left with (-5/7)^17.

Hi!

Since they are the same terms, both \(\frac{-5}{7}\), we can multiply the exponents without any problem.

When multiplying exponents, you just add them together, and that's your new exponent!

\((\frac{-5}{7})^8*(\frac{-5}{7})^9\)

\(8 + 9 = 17\)

Your answer is \(\frac{-5}{7}\)^17

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Find the area of the figure. A. 24.3 ft2 B. 38.1 ft2 C. 48.6 ft2 D. 35.7 ft2

Answers

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

How to determine the area?

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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which sampling method is being described
A store manger randomly choose a shopper entering her store to interview she then interview every 20th person after that contomer
to do the survey​

Answers

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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Need help with math problem give 5 star if do

Need help with math problem give 5 star if do

Answers

Answer:

d

Step-by-step explanation:

In all the answer choices, the distance between 0 and 1 is 10.

4/10 = 0.4

The only line that proves this is line d.

Hope this helps!

Answer:

D.

Step-by-step explanation:

The number lines goes by the scale of 0.1 per each line, meaning that if the dot is one line after 0, then the dot is 0.1. This can be interpreted by counting the number of lines from one number to another.

A. is 0.5

B. is 0.7

C. is 0.6

D. is 0.4

So, the correct answer is D.


Please help. No files allowed or you will be reported

Please help. No files allowed or you will be reported

Answers

I’m confused because I’m a child and I was asking a question so mind ur business

Find the product. (6x2 + 8)(3x2 – 5x + 7)
o 4234 – 70x3 + 98x
18x4 – 30x3 +66x2
40x + 56
O 18x4 – 30x3 + 42.2 + 8
O 18x4 + 36x2
402 + 56

Answers

Answer:

18x^4 – 30x³ +66x²- 40x + 56

Step-by-step explanation:

How many solutions does 7(y+3)=5y+8 have?
A. One solution
B. Infinite (Many) solutions
C. No solution

Answers

inFinite many solutions

Use the figure to find the Lateral Area.



15 un2
24 un2
12 un2

Use the figure to find the Lateral Area.15 un224 un212 un2

Answers

The lateral surface area of a cone is 15π units².

Option  A is the correct answer.

We have,

The lateral area of a three-dimensional object is the total surface area of the object excluding the area of the bases.

So,

The given figure is a cone.

Now,

The lateral surface area of a cone = πrl

where r is the radius of the base of the cone, and l is the slant height of the cone.

The slant height is the distance from the apex of the cone to any point on the edge of the base.

Now,

Applying the Pythagorean,

l² = 4² + 3²

l² = 16 + 9

l² = 25

l = 5

So,

Substituting the values.

The lateral surface area of a cone

= πrl

= π x 3 x 5

= 15π units²

Thus,

The lateral surface area of a cone is 15π units².

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Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?

Answers

Answer:

$16.50

Step-by-step explanation:


CONSTRUCTION You are asked to copy a segment CD, construct a segment bisector by paper folding, and label the
midpoint M. Order the steps of this construction.

Answers

The steps on the construction of a segment bisector by paper folding, and label the midpoint M is given below.

What are the steps of this construction?

1. First, one need to open a Compass so that it is said to be more than half the length of the said segment.

2. Without altering it, with the aid of the compass, do  draw an art above and also below the said line segment from one of the segment endpoints.

3. Also without altering it and with use the compass, do draw another pair of arts from the other and points. One arc will be seen above the segment and the other or the second arc will be seen below.

4. Then do draw the point of intersection that is said to exist between the pair of arts below the line segment and also in-between the pair of arts as seen  below the line segment

5. Lastly, do make use of a straight edge to link the intersection points between the both pair of arts.

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I need help! I don't understand how to get x and y. I need them in order to complete the question.

I need help! I don't understand how to get x and y. I need them in order to complete the question.

Answers

Answer:

a+b=180

13y+31y+4=180

44y=176

y=4

r=s

130x-160=30x+40

x=2

b=128

a=52

s=100

r=100

hopefully its correct (✿^‿^)

Expand this equation to write an identity: (a-b)^3

Answers

The equation using the identity rule is a^3 - 3a^2b + 3ab^2 - b^3

How to expand the equation using the identity rule

The equation (a-b)^3 can be expanded using the binomial theorem, where the variables are the two numbers (a and b),

From the question, we have the following parameters that can be used in our computation:

(a-b)^3

When expanded, we have

a^3 - 3a^2b + 3ab^2 - b^3

Hence, the expansion is a^3 - 3a^2b + 3ab^2 - b^3

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(2x3)7x4)8x1)
I will makr brainliest if you get it right !!

Answers

Answer: 1344?

Step-by-step explanation:

Answer:

1344

Step-by-step explanation:

hope this helps

Describe how the graph of y = -1/4 arccos(x – 3) + 1 is a transformation of y = arccos(x). O Vertical Stretch of , a reflection about the x-axis, a vertical translation of 3 up, and a horizontal translation of 1 right Horizontal Stretch of 4, a reflection about the y-axis, a vertical translation of 1 down, and a horizontal translation of 3 left Horizontal Stretch of 4, a reflection about the y-axis, a vertical translation of 3 down, and a horizontal translation of 1 left. Vertical Stretch of, a reflection about the x-axis, a vertical translation of 1 up, and a horizontal translation of 3 right.​

Answers

Using translation concepts, it is found that the option that describes the graph of \(y = -\frac{1}{4}\arccos{(x - 3)} + 1\) compared to the graph of \(y = \arccos{x}\) is:

Vertical Stretch of \(\frac{1}{4}\), a reflection about the x-axis, a vertical translation of 1 up, and a horizontal translation of 3 right.​

The parent function is:

\(y = \arccos{x}\)

What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

First, the function was multiplied by \(-\frac{1}[4}\), hence it was vertically strech by a factor of \(\frac{1}{4}\), which is the same as a compression, and reflected over the x-axis.\(x \rightarrow x - 3\), hence, it was shifted horizontally 3 units to the right.1 was added, hence it was shifted vertically 1 unit up.

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A plane started on a flight at 9:30 a.m and arrived at its destination at 1:45pm. The plane used 51 gallons of gas. The number of gallons used per hour was
Will mark Brainlist

Answers

Answer:

12 gallons per hour

Step-by-step explanation:

Given the following :

Start time of flight = 9:30 a.m

Arrival time of flight = 1:45p.m

Gallons of gas used during duration of flight = 51 gallons

Number of hours spent during flight:

Arrival time - start time

1:45 pm - 9:30 am = 4hours and 15minutes

4hours 15minutes = 4.25hours

If 4.25hours requires 51 gallons of gas;

Then 1 hour will require ( 51 / 4.25)gallons

= 51 / 4.25

= 12 gallons

Pleas help me on this

Pleas help me on this

Answers

Answer:

3x

Step-by-step explanation:

x+x+x

=3x

if i am wrong than sorry

I think 3x I’m not completely sure tho!

what is the constants in the expression? select all that apply 3y+7-8=10
a. 7
b. -8
c. 8
d. 10
e. 3

Answers

Answer:

\(y = \frac{11}{3} = 3.67\)

Step-by-step explanation:

\(1. \: 3y - 1 = 10 \\ 2. \: 3y = 10 + 1 \\ 3. \: 3y = 11 \\ 4. \: y = \frac{11}{3} = 3.67 \)

The image below showcases a right triangle .

My questions:

What is a c, what does that represent

What is this problem asking for me

How do I solve this problem? Are there any formulas in place?

The image below showcases a right triangle .My questions:What is a c, what does that represent What is

Answers

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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What is an example of a solution of a system of linear equations?

Answers

A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

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How do you find the horizontal asymptotes and vertical asymptotes of a function? Which author's purpose is suggested by the text?A. to describe an alligator moving from the water to the bank.B. to describe the rivers and grasses in the Florida Everglades The Laramide Orogeny began 66 million years ago and was responsible for the creation of--------o Kilauea Volcano, Hawai'i o The Ozark Mountains, Arkansas o Creator Lake, Oregon o The Appalachian Mountains o The Northern Rocky Mountains Find the volume of liquid I give you brainlestA shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how many tiles can the mall buy? Help me please I need it Which two sentences state and restate the authors thesis? the sentences that are underlined are the ones you can pick from :) PLEASE SHOW WORK ILL GIVE BRAINLIEST DIRECTIONS: SOLVE FOR WHAT IS BEING ASKED. TYPE THE COMPLETE SOLUTION. 1. EG Marine Systems is planning to supply a Japanese shipbuilder with aero- derivative gas turbines to power 11 DD-class destroyers for the Japanese Self- Defense Force. The buyer can pay the total contract price of $2,100,000 two years from now (when the turbines will be needed) or an equivalent amount now. At an interest rate of 15% per year, what is the equivalent amount now? 2. Ezra Mechanical Products is planning to set aside $160,000 now for possibly replacing its large synchronous refiner motors whenever it becomes necessary. If the replacement is expected to take place in 3-12 years, how much will the company have in its investment set-aside account? Assume a rate of return of 16% per year compounded quarterly. 3. Five years ago, Diamond Electronics, a division of De Beers, paid $3,150,000 for new diamond cutting tools. At that time, the company estimated an added revenue need of $500,000 to recover the investment at 10% per year. If there is an estimated 8 more years of service with a salvage value of $300,000, compare the revenue needed over the entire life with that estimated 5 years ago. Why does the poet capitalize the words Lion, Tiger, and Kitten in the poem The Game by Oliver Herford? 3. When it shows in Maycomb, Scout thinks the world is ending. Mr. Avery says that it isbecause bad children cause the seasons to change. Jem and Scout then build a snowman.They dont have enough snow. What do they use? What is Lee trying to say to the reader?|| To write a letter using Word Online, which document layout should you choose? ASAP PLZ! why employers often employ young females instead of young males n a certain electronic device, a three-stage amplifier is desired, whose overall voltage gain is 44 dB. The individual voltage gains of the first two stages are to be equal, while the gain of the third is to be one-fourth of each of the first two. Calculate the voltage gain of each. (Round the final answers to three decimal places.) The voltage gain A1= The voltage gain A2= The voltage gain A3= Interpret the following citation: 64-1 USTC 9618, aff'd in 344 F.2d 966.A U.S. District Court decision that was affirmed on appeal The earth and moon are separated by a center-to-center distance of 3. 85 x 10^8 m. The mass of the earth is 5. 98 x 10^24 kg and that of the moon is 7. 35 x 10^22 kg. How far does the center of mass of the earth-moon system lie from the center of the earth?. The ________ built-in function is used to read a number that has been typed on the keyboard. [tex]\frac{2}{11} =\frac{r}{13}?[/tex] Which of the following it FALSE regarding prokaryotic ribosomes? they are 70 s while eukaryotic ribosomes are 80 s they have a 50s large subunit they are missing in some species of archaea they have a 30 s small subunit At what point(s) is the gravitational potential energy (GPE) the greatest?