**Answer:**

Triangle A and B

**Step-by-step explanation:**

The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.

What is the dislance belween the points (4,-7) and (-5, -7)?

**A****n****s****w****e****r****:**

Therefore the distance between the points is 9 units.

**__________________________________________________________**

**Hello! **In this question, we will find the distance between the two given points.

**__________________________________________________________**

**Explanation:**

In this problem, we were given the points:

(4,-7)(-5, -7)In order to find the distance between the two points, we will use our given information and plug it into the distance formula:

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

In this case, our values would be:

**__________________________________________________________**

**Solve:**

Plug in the values into the formula above and solve:

[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]**__________________________________________________________**

**Answer:**

The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]

**__________________________________________________________**

**Additional info:**

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The heights of adult men are normally distributed. The heights (in inches) of 9 adult males are given below. 72, 71, 71, 68, 68.75, 70.25, 72, 70.25, 68.25 A physician believes that the mean height of adult men is larger than 69.9 inches. Test the physician’s claim at the α = 0.05 level of significance.

Mean=70.11

Std=1.58

**Answer:**

71

**Step-by-step explanation:**

How many real solution are there in equation[tex]\frac{(x-2)(x-3)}{(x-3)(x-4)} =-1[/tex]

**Answer:**

0

**Step-by-step explanation:**

[tex]\frac{x-2}{x-4}=-1, x \neq 3 \\ \\ x-2=-x+4 \\ \\ 2x=6 \\ \\ x=3[/tex]

This contradicts the domain restriction, so there are no real solutions.

**Answer: 0**

**Step-by-step explanation:**

if you depsoit $1000 at 100% simple interest, what will your ending balance be after one year

B1=B0•(1+rt)

1000•(1+1•1)

1000•2

2000 dollar in one year

Mark me Brainly pls

1000•(1+1•1)

1000•2

2000 dollar in one year

Mark me Brainly pls

**Answer:**

$2,000

**Step-by-step explanation:**

A=P(rincipal)R(ate)T(ime)

1000*1*1=1000

1000(principal)+1000(interest)=2,000(total)

Suppose that f(x) = x² and g(x)=2/5x². Which statement best compares the

graph of g(x) with the graph of f(x)?

A. The graph of g(x) is the graph of f(x) compressed vertically.

B. The graph of g(x) is the graph of f(x) stretched vertically.

C. The graph of g(x) is the graph of f(x) compressed vertically and

reflected over the x-axis.

OD. The graph of g(x) is the graph of f(x) stretched vertically and

reflected over the x-axis.

The answer is A because the coefficient was smaller than one so that means that it is compressed I’m so that makes it the compressed version of g(f)

-15x + 20y = 15-5

0-18x + 24y - 18

**Answer:**

To solve this system of linear equations, we need to first rewrite the equations in standard form, which is the form y = mx + b. To do this, we can isolate the y-term on one side of the equation and the x-term and constant on the other side. For example, the first equation can be rewritten as follows:

-15x + 20y = 15-5

20y = 15 - 5 - 15x

y = -3/4 x + 2

Similarly, the second equation can be rewritten as follows:

0 - 18x + 24y - 18

24y = -18 - 18x

y = -3/2 x - 1

Now that the equations are in standard form, we can find the point of intersection by setting the two equations equal to each other and solving for x:

-3/4 x + 2 = -3/2 x - 1

-3/4 x + 2 + 3/2 x = -1 + 3/2 x

x = -1/6

Substituting this value of x into either equation, we can solve for y to find the point of intersection:

y = -3/4 x + 2

y = -3/4 (-1/6) + 2

y = 1/3

Therefore, the point of intersection for these two equations is **(-1/6, 1/3).** This means that the system of equations has exactly one solution at this point.

Question Progress

Homework Progress

110/122 Marks

Four whole numbers are each rounded to the nearest 10

The sum of the four rounded numbers is 90

What is the maximum possible sum of the original four numbers?

The **maximum** **amount** of the **original** four numbers is 110.

**What is the whole number?**

A **whole** **number** is simply any **positive** number that does not include a **fractional** or **decimal** **part**. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all **whole numbers**.

Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.

The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.

So each number would have an extra +5.

And then the maximum number is 90 + (5 x 4) is equal to 110.

Or if the rounded-up no. were 10, 20, 30, 30.

The sum of these numbers is 90.

They can go up to 15,25,35,35.

So the sum of this is 110.

Hence, the **maximum** **possible** sum of the **original **four **numbers** is 110.

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The circumference of a circle is double the perimeter of square having area 484cm^2.what is the area of circle?

**Answer:**

circumference (c) = 2.per(Square

**Step-by-step explanation:**

ar sq = l²

484 = l²

l = 22

again

p=4l=4×22=88cm

c = 2×p=2×88= 176cm

we know

c= 2πr

or, 176 = 2×22/7 × r

r = 28 cm

again

ar (circle) = πr²

= 22 / 7 × 28²=2464cm²

what should i write there can someone help pls

**Answer:**

9t + 9e is your answer bro

Which of the following is not factor of f(x)?

**Answer:**

[tex](x-2)[/tex]

**Step-by-step explanation:**

[tex]f(2)=-40 \\ \\ f(-8)=0 \\ \\ f(3)=0 \\ \\ f(-2)=0[/tex]

By the factor theorem, [tex](x-2)[/tex] is not a factor.

Banks offer different rewards/perks depending on how much money you have in your account.

A) True

B) False

A) True, is what it is.

Harbors Petty cash fund 100 the fund is 19 postage 40 supplies 26 travel 15

The **journal entry** to record the replenishment of the petty cash fund shows a **debit** of **$45 , $25 **and** $8** and a net **credit **of** $78**.

**Replenishment of the Petty Cash Fund:**

**Petty cash** refers to a small amount of fund that can be used for the day to day expenses for which **disbursement** of checks will not be suitable. As and when the petty cash **balance** is being used and reduced, the fund **custodian** requests and receives cash from the **company's** regular checking account, in order to maintain the same petty cash balance it initially had, which is nothing but the replenishment of the petty cash fund.

The** journal entry** to record the replenishment of the petty cash fund is made below:

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**Complete question** is given below :

On March 20, Harbor's petty cash fund of $100 is replenished when the fund contains $22 in cash and receipts for postage $45, supplies $25, and travel expense $8.

Prepare the journal entry to record the replenishment of the petty cash fund.

The **Cash account** is credited, Reflecting the decrease in the petty cash fund due to the various expenses incurred.

The **expenses **made from the Harbor's petty cash fund, we need to record the appropriate entries to reflect the decrease in cash for each expense category. Based on the given information, the expenses include $19 for postage, $40 for supplies, $26 for travel, and $15 for miscellaneous expenses.

1. Postage Expense:

To record the expense for postage, we will debit the Postage Expense account and credit the Cash account. Assuming the Postage Expense account has a normal debit balance:

Postage Expense $19

Cash $19

2. **Supplies **Expense:

For supplies expenses, we will debit the Supplies Expense account and credit the Cash account:

Supplies Expense $40

Cash $40

3. Travel Expense:

To account for the travel expenses, we will debit the Travel Expense account and credit the Cash account:

Travel Expense $26

Cash $26

4. Miscellaneous Expense:

Lastly, for the miscellaneous expenses, we will debit the Miscellaneous Expense account and credit the Cash account:

Miscellaneous Expense $15

Cash $15

After recording these entries, the petty cash fund will have been reduced by the total expenses. It's important to note that the remaining **balance **of the petty cash fund should be adjusted accordingly.

the journal entries to account for the expenses from the Harbor's petty cash fund are as follows:

Postage Expense $19

Cash $19

Supplies Expense $40

Cash $40

Travel Expense $26

Cash $26

Miscellaneous Expense $15

Cash $15

These entries ensure that the appropriate expense accounts are debited and the Cash account is credited, reflecting the decrease in the petty cash fund due to the various expenses incurred.

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Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:

Standard Quantity or Hours Standard Price or Rate Standard Cost

Direct materials 3 pounds $ 13.00 per pound $ 39.00

Direct labor 2 hours $ 16.00 per hour $ 32.00

Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00

The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total manufacturing cost transferred from Work in Process to Finished Goods would be:

Garrison 17e Rechecks 2020-09-29

Multiple Choice

$647,800.

$678,600.

$667,400.

$654,700.

Group Ends

There is no difference between the standard and actual expenses of **direct labor** because the company spent a total of $248,000 on such costs over the period.

To determine the total increase recorded in the Work in Process account related to **direct labor**, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.

According to the **standard cost** card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.

This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.

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$10.982 to the nearest ten cents

**Answer:**

$11.0

I hope the image below explains a bit as well

I hope my answer helps you.

Which of the following is equivalent to

4√5

(A)

√20

(B) √50

(C) √80

(D) √100

**Answer:**

(C) Square root of 80

**Step-by-step explanation:**

4²=16

16x5=80

−(−B)=minus, left parenthesis, minus, B, right parenthesis, equals

We know that,

When sign negative multiplied by negative then we find positive sign,

Therefore,

When sign positive multiplied by positive sign then we find positive sign,

When sign positive multiplied by negative sign then we find negative sign,

When sign negative multiplied by positive sign then we find negative sign,,

For example-

(-8)×(2)=-16

(-2)×(-2)=4

(-3)×(+3)=-9

(+3)×(+4)=+12

(+8)×(-2)=-16

According to question,

Given data in the question,

-(-B) =minus, left parenthesis, minus, B right parenthesis, equals

With the help of above Lines

we can say that,

-(-B)=-1×-(B)

=B

-(-B)=minus,left parenthesis, minus, B right parenthesis, equals

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For the give question of −(−B)=minus, left **parenthesis**, **minus**, B, right **parenthesis**, equals answer is -(-B)=-1×-(B)

The well-known () symbol is used in pairs to group things together or specify the order of operations in an equation. **Parentheses **or "round brackets" are also known as **parentheses**. When writing or solving equations in math, you'll frequently need to use brackets. They assist in defining the order of operations as well as grouping numbers.

We know that,

When **sign** **negative **multiplied by **negative **then we find positive sign,

Therefore,

When sign positive multiplied by positive sign then we find positive sign,

When sign positive multiplied by **negative sign** then we find **negative** **sign**,

When **sign** **negative** multiplied by positive **sign **then we find **negative sign**,,

For example-

(-8)×(2)=-16

(-2)×(-2)=4

(-3)×(+3)=-9

(+3)×(+4)=+12

(+8)×(-2)=-16

According to question,

Given data in the question,

-(-B) =minus, left **parenthesis**, minus, B right **parenthesis**, equals

With the help of above Lines

we can say that,

-(-B)=-1×-(B)

=B

-(-B)=minus, left **parenthesis**, minus, B right **parenthesis**, equals

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Find the y-intercept of the following equation. Simplify your answer.

y = 10x + 5

y-intercept=

X-intercept =

**Answer:**

**Step-by-step explanation:**

**To find the y intercept we need to let x=0**

**y=10*0+5=5 therefore y intercept =5**

**To find the x intercept we need to let y=0**

**we get 0=10x+5**

**We need to solve for x, this means getting x on its own**

**Take 5 from both sides **

**0-5=10x+5-5**

**-5=10x**

**Divide both sides by 10**

**gives**

**-5/10=10x/10**

**-1/2=x**

**Therefor x intercept =-1/2**

-3x-4y=-1 3x-y=-4 elimination

**Answer:**

(- 1, 1 )

**Step-by-step explanation:**

- 3x - 4y = - 1 → (1)

3x - y = - 4 → (2)

add (1) and (2) term by term to eliminate x

0 - 5y = - 5

- 5y = - 5 ( divide both sides by - 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (2)

3x - 1 = - 4 ( add 1 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

solution is (- 1, 1 )

Express 40 g as a percentage of 2 kg.

**=2%**

**2 kg = 2000 g**

**x% of 2000 = 40**

**x/100 × 2000 = 40**

**x = 2%**

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where x is the number of years after 1900.

y = -0.0000084x^3 + 0.00194x^2 -0.196x + 7.819

The estimated average annual growth rate of the country's population for 1950 is enter your response here ___________

The **average **annual growth rate of a certain country's population for 1950, 1988, and 2010 are 1.819, -0.1300048 and -1.4474respectively.

**Equation**: An algebraic expression composed of two expressions with the same value and the symbol "=" in between.

The given **equation** is

y = -0.0000084x³ + 0.00194x² -0.196x + 7.819

Where Y is the annual growth rate of a certain **country's **population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given **equation**.

y = -0.0000084(50)³ + 0.00194(50)² -0.196(50) + 7.819

y = 1.819

Therefore, the estimated average **annual **growth rate of the country's population for 1950 is 1.819.

The difference between 1988 and 1900 is 88.

Put x=88 in the given **equation**.

y = -0.0000084(88)³ + 0.00194(88)² -0.196(88) + 7.819

y= -0.1300048

Therefore, the estimated **average **annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given **equation**.

y = -0.0000084(110)³ + 0.00194(110)² -0.196(110) + 7.819

y= -1.4474

Therefore, the **estimated **average annual growth rate of the country's population for 2010 is 0.2236.

Therefore, **population **growth rates for a particular nation in 1950, 1988, and 2010 are, respectively, 1.819, -0.1300048 and -1.4474.

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In 2020, the financial statements of Ultimate Medical Center reported $960,000 in total revenues and $305,000 in net income with consistent increase in patient volume each month. In fact, during your leadership meeting, you were able to report that there were $400,000 in collections and $820,000 in monthly charges for the monthly of August. Calculate the gross collection ratio and the operating ratio for Ultimate Medical Center:

To calculate the gross collection ratio, we need to divide the total collections by the total charges. In this case, the gross collection ratio would be $400,000 / $820,000 = 0.49.

To calculate the operating ratio, we need to divide the total operating expenses by the total revenues. Since the net income is given, we can use it to calculate the total operating expenses by subtracting it from the total revenues. In this case, the total operating expenses would be $960,000 - $305,000 = $655,000. Therefore, the operating ratio would be $655,000 / $960,000 = 0.68.

To calculate the operating ratio, we need to divide the total operating expenses by the total revenues. Since the net income is given, we can use it to calculate the total operating expenses by subtracting it from the total revenues. In this case, the total operating expenses would be $960,000 - $305,000 = $655,000. Therefore, the operating ratio would be $655,000 / $960,000 = 0.68.

The ______ is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.

A. sum of squares due to regression (SSR)

B. sum of squares due to error (SSE)

C. erorr term

D. residual

B. **squares due** **to error (SSE) **is the correct option.

What is **squares due to error (SSE)**?

Sum Squared **Error (SSE)** is an accuracy metric that **squares **the **mistakes **before adding them. When the data points are of equal magnitude, it's utilised to assess the **forecasting **model's accuracy. The **forecast **is more precise the lower the **SSE**. Choosing the **forecasting **model that best suits your data will be made easier for you if you are aware of this accuracy statistic.

The sum of **squares due** **to error (SSE) **is a measure of the **error **in using the estimated **regression **equation to predict the values of the dependent variable in a sample.

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Write the tangent equation to solve for angle f

**Answer:**

tan θ = 24/7

Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)

**Step-by-step explanation:**

tan θ = Opposite/Adjacent

Opposite side is the side opposite angle θ

Adjacent side is the side next to the right angle and the angle θ

θ = Angle F

tan θ = 24/7

Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)

Suppose the amount of medication, A, that remains in your bloodstream is inversely

proportional to the number of minutes, t, since the medication was taken. Which

would be the general formula for this relationship?

a) A = k/t

b) A = kt

c) A = 1/t

d) A = -t

The general formula for the relationship amount of medication, A, that remains in your bloodstream is **inversely **proportional to the number of minutes is **a) **A = k/t.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of **inverse proportion**, and vice versa.

We know we can write y is inversely proportional to x as,

**y ∝ 1/x**.

y = k/x, where k is the constant of proportionality.

Therefore, The amount of medication, **A,** that remains in your bloodstream is inversely proportional to the number of minutes, **t **can be written as,

A = k/t.

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If f(x) = log (x/4) and g(x) = 2 log x, find (g – f) (x).

**Answer:**

To find (g – f)(x), we need to subtract f(x) from g(x). We can do this by substituting the expressions for f(x) and g(x) into the difference:(g – f)(x) = g(x) – f(x)

= (2 log x) – (log (x/4))We can simplify this expression by using the fact that log a - log b = log (a/b). Applying this fact, we get:(g – f)(x) = (2 log x) – (log (x/4))

= log ((x^2) / (x/4))

= log (4x)Therefore, (g – f)(x) = log (4x).

**Step-by-step explanation:**

**Step-by-step explanation:**

To find (g – f)(x), we can subtract f(x) from g(x):

(g – f)(x) = g(x) – f(x)

= 2 log x – log (x/4)

Using the logarithm identity log a - log b = log (a/b), we can rewrite the expression as:

(g – f)(x) = log x^2 - log (x/4)

= log (x^2/(x/4))

= log (4x)

Therefore, (g – f)(x) = **log (4x).**

Pls help i will mark brainliest Determine the value of y for the inequality 4 times the quantity y plus one fifth end quantity is less than or equal to four fifths.

y ≥ 0

y ≤ 0

y is greater than or equal to negative 1 over 40

y is less than or equal to negative 1 over 40

The **value** of **y** is **less than or equal** to **0** (y ≤ 0).

**What is inequality?**

In mathematics, **inequalities** describe the relationship between two values that are **not equal**. Equal means to be equal, **not**. The "not equal symbol (**≠**)" is typically used to indicate that two values are **not equal**. But different **inequalities** are used to compare the values to determine whether they are less than or greater than.

Given:

4y + 1/5 ≤ 4/5

We have to find the value of y.

Subtract 1/5 from both sides,

4y + 1/5 - 1/5 ≤ 4/5 - 1/5

4y ≤ 3/5

Multiply both sides by 1/4

4y x 1/4 ≤ 3/5 x 1/4

y ≤ 3/20

y ≤ 0.15

Hence, the **value** of **y** is **less than or equal **to 0 (y ≤ 0).

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What rigid motion maps the solid-line figure onto the dotted-line figure?

A. reflection

Brotation

Ctranslation

The rigid** motion** of the solid line figure is **translated **to the dotted line figure.

**Translation** describe a function that moves an object a certain **distance.**

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid **motion** maps the solid-line figure onto the dotted-line figure by translation

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The wheel of a covered wagon has a diameter of 2 feet what is the wheels circumference?

**Answer: ≈75.4 inches**

**Step-by-step explanation: **

**C=2πr**

**Step 1) Half of the diameter is the radius, and 2 feet equals 24 inches, so 24÷2= a radius of 12 inches**

**Step 2) Plug the radius into the equation: C=2π(12)=75.4 inches**

Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $5.00 per unit. (Note: One unit = one thousand streams)

Model the profit for the total number of streams by answering the questions below:

1. Use the cost for distribution to build the y-intercept. What is the y-intercept?

2. Use the payment per unit to build the slope. What is the slope?

3. What is the equation of this line?

4. After how many streams will the distributor charges be paid?

5. How many streams would it take to profit $950,000?

y-intercept of the function is (0, 50), the **slope of the function **is 5, the equation of the line is P(x) = 50 + 5x and it would take 189990 streams to profit $950,000.

The x-intercept and y-intercept are the points where a centre line the x- and y-axes, respectively.

Briefing:Given the following parameters

Fixed price = $50

The rate of change is $5 if streaming providers pay $ 5.00 per unit.

The necessary profit is provided as follows for the entire number of streams:

P(x) = 50 + 5x

The y-intercept is the location where x equals zero.

P(x) = 50 + 5x

P(0) = 50 + 5(0)

P(0) = 50

Thus, the** function's y-intercept** is (0, 50)

For the slope

mx = 5x

m = 5

Consequently,** the function's slope is** 5.

**Equation of this line **is P(x) = 50 + 5x

P(x) = 50 + 5x = 950000

5x = 950000 - 50

5x = 949950

x = 189990

Hence, it would take** 189990 streams to profit** $950,000.

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A family wants to make an addition to a deck that extends off the back of their home. The current deck is 400 ft2. The addition will be 18.75 ft in length and 15 ft wide. What will be the total area of the deck once the addition is complete?

A: 681.25 ft2

B: 433.75 ft2

C: 281.25 ft2

D: 118.75 ft2

**Answer:**

[tex]681.25ft^2[/tex]

**Step-by-step explanation:**

The total area of the deck can be found with

[tex]A_t=A_0+A_a[/tex]

where

[tex]A_t[/tex] = total area of the new deck

[tex]A_0[/tex] = area of the original deck

[tex]A_a[/tex] = area of addition

The area of the addition can be found with

[tex]A_a=lw[/tex]

where

[tex]l[/tex] = length of addition

[tex]w[/tex] = width of addition

So,

[tex]A_t=400ft^2+(18.75ft*15ft)\\A_t=400ft^2+281.25ft^2\\A_t=681.25ft^2[/tex]

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What is the measurement of S and T
Pls help! giving thanks. What is the slope of the line (picture above)
A married couple plans to have children. The wife has blue eyes (a recessive trait) and her husband has brown eyes (a dominant trait). The husbands mother had blue eyes. What percentage of their children could possibly have blue eyes?
How did President Clinton respond to the terrorist attack in Oklahoma City?He closed all federal buildings in Oklahoma.He signed a new antiterrorism law.He outlawed groups that opposed the federal government.
i need help on my math test im not sure how to find the GCF of an equation so please help me
PLEASE HELP! 10 POINTS.
why does andrew jackson justify the native American policy
Teniendo en cuenta problemticas de la biologa o de su aprendizaje ,pensar un tema investigar desde el enfoque cualita tivo y otro desde el enfoque cuantitativo
Summarize Act 3 of Julius Caesar in 6 words
Fill in the blanks with the correct article. The gender of the noun is given.Jener grosse Mann hatFrau (fem.) Blumen gekauft.diedasdemder
The polygons are similar. Find the value of x.
The Crunchy Granola Company is a diversified food company that specializes in all natural foods. The company has three operating divisions organized as investment centers. Condensed data taken from the records of the three divisions for the year ended June 30, 20Y7, are as follows: Cereal Division Snack Cake Division Retail Bakeries Division Sales $25,000,000 $8,000,000 $9,750,000 Cost of goods sold 16,670,000 5,575,000 6,795,000 Operating expenses 7,330,000 1,945,000 2,272,500 Invested assets 10,000,000 4,000,000 6,500,000The management of The Crunchy Granola Company is evaluating each division as a basis for planning a future expansion of operations.Required:1. Prepare condensed divisional income statements for the three divisions, assuming that there were no service department charges.2. Using the DuPont formula for rate of return on investment, compute the profit margin, investment turnover, and rate of return on investment for each division.3. If available funds permit the expansion of operations of only one division, which of the divisions would you recommend for expansion?
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 weredefective. A store clerk generates random numbers to simulate a random sample of this shipment. Theclerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through5,000 represent working MP3 players. The results are given.638 430 240 3,932 4,477 670 3,059 13 3,144 3,844Based on this sample, how many of the MP3 players might the clerk predict would be defective?The manager would expectdefective players in the shipment.