I do not understand the question need some help solving

I Do Not Understand The Question Need Some Help Solving

Answers

Answer 1

Answer:

the answer is C = between 10 and 17 ft


Related Questions

On april 1 of the current year, a company purchased and placed in service a machine with a cost of $240,000. the company estimated the machine's useful life to be four years or 60,000 units of output with an estimated salvage value of $60,000. during the current year, 12,000 units were produced. prepare the necessary december 31 adjusting journal entry to record depreciation for the current year assuming the company uses: a. the straight-line method of depreciation b. the units-of-production method of depreciation c. the double-declining balance method of depreciation

Answers

The answers to the questions are:

a. $33,750b. $36000c. $90000

a. the straight-line method of depreciation

\(\frac{cost of machine - salvage}{useful life} * period\)

= (240000 - 60000) / 4 * (9 / 12)

= $33,750

The debit is 33750 as well as the credit

b.  the units-of-production method of depreciation

(240000 - 60000) / 60000 * 12000

= $36000

c. the double-declining balance method of depreciation

(24000 *2 /4) * (9/12)

= $90000

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Find X using the Pythagorean Theorem

Find X using the Pythagorean Theorem

Answers

Answer:

x = 4.47

Step-by-step explanation:

Formula for hypotenuse:

\(x =\sqrt{a^2+b^2}\)

\(x=\sqrt{4^2+2^2}\)

\(x=\sqrt{16+4}\)

\(x=\sqrt{20}\)

\(x=4.47\)

Multiply (6 - 5)².
OA) 11+ 60i
B) 36 +25i
OC) 11-60i
OD) 36-25i

Answers

Answer:

\(\textsf{C)} \quad 11-60i\)

Step-by-step explanation:

\(\textsf{Multiply }\: (6-5i)^2\)

\(\implies (6-5i)(6-5i)\)

\(\implies 6(6-5i)-5i(6-5i)\)

\(\implies 36-30i-30i+25i^2\)

\(\implies 36-60i+25i^2\)

\(\textsf{Remember that }i^2=-1:\)

\(\implies 36-60i+25(-1)\)

\(\implies 36-60i-25\)

\(\implies 36-25-60i\)

\(\implies 11-60i\)

The cutting department of Pharoah Manufacturing has the following production and cost data for July.

Production

Costs

1.

Completed and transferred out 12,500 units.
Beginning work in process

$-0-
2.

2,850 units in ending work in process inventory are 60% complete
Direct materials

42,980
in terms of conversion costs and 100% complete
Direct labour

15,700
in terms of materials at July 31.
Manufacturing overhead

18,404

Materials are entered at the beginning of the process. Conversion costs are incurred uniformly throughout the process.

(a)

Correct answer icon

Your answer is correct.

Determine the equivalent units of production for materials and conversion costs.

Direct Materials

Conversion Costs

Total equivalent units

enter a number of units enter a number of units
eTextbook and Media

Attempts: unlimited

(b)

Calculate unit costs and prepare a cost reconciliation schedule. (Round unit costs to 2 decimal places, e.g. 15.25.)

Unit costs

Direct materials

$enter a dollar amount rounded to 2 decimal places
Conversion costs

$enter a dollar amount rounded to 2 decimal places
Cost Reconciliation Schedule

Costs accounted for

Completed and transferred out

$enter a dollar amount
Work in process inventory, July 31

Direct materials

$enter a dollar amount
Conversion costs

enter a dollar amount enter a subtotal of the two previous amounts
Total costs

Answers

a) The determination of the equivalent units of production for materials and conversion costs is as follows:

Equivalent units of production:

                                                       Units       Materials       Conversion

Completed and transferred out  12,500        12,500            12,500

Ending work in process                2,850         2,850                1,710

Total equivalent units                  15,350       15,350              14,210

b) The calculation of the unit costs is as follows:

Unit costs:

                                      Direct Materials     Conversion Costs

Production costs                $42,980                 $34,104

Total equivalent units           15,350                    14,210

Unit costs                              $2.80                      $2.40

c) The preparation of the cost reconciliation schedule is as follows:

Cost Reconciliation Schedule:

                                         Direct Materials  Conversion Costs  Total Costs

Beginning work in process      $0                        $0                     $0

Cost to be accounted for       $42,980                 $34,104          $77,084

Total production costs           $42,980                 $34,104          $77,084

Costs accounted for units:

Completed / transferred out $35,000               $30,000         $65,000

Ending work in process          $7,980                   $4,104          $12,084

Total costs accounted for    $42,980                 $34,104         $77,084

What are equivalent units?

Equivalent units are the multiplication of the number of physical (or actual) units on hand by the percentage of completion of the units.

1. Completed and transferred out 12,500 units.

2. Beginning work in process = $0

Ending work in process = 2,850 units 60% complete

Production Costs

Direct materials costs = $42,980 100% complete in terms of materials at July 31.

Direct labour = $15,700

Manufacturing overhead = $18,404

Total conversion costs = $34,104 ($15,700 + $18,404)

Equivalent units of production:

                                                       Units       Materials       Conversion

Completed and transferred out  12,500        12,500            12,500

Ending work in process                2,850         2,850 (100%)    1,710 (60%)

Total equivalent units                  15,350       15,350              14,210

Unit costs:

                                      Direct Materials     Conversion Costs

Production costs                $42,980                 $34,104

Total equivalent units           15,350                    14,210

Unit costs                              $2.80                      $2.40

                                 ($42,980 ÷ 15,350)    ($34,104 ÷ 14,210)

Cost Reconciliation Schedule:

                                         Direct Materials  Conversion Costs  Total Costs

Beginning work in process      $0                        $0                     $0

Cost to be accounted for       $42,980                 $34,104          $77,084

Total production costs           $42,980                 $34,104          $77,084

Costs accounted for units:

Completed / transferred out $35,000               $30,000         $65,000

                                 (12,500 x $2.80)              (12,500 x $2.40)

Ending work in process          $7,980                   $4,104          $12,084

                                   (2,850 x $2.80)              (1,710 x $2.40)    

Total costs accounted for    $42,980                 $34,104         $77,084

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if the probability of a super event increases, does the unique event risk increase or decrease in importance. why

Answers

The relative importance of unique events may decrease as the probability of a super event increases, it is important to consider all potential risks and their unique characteristics in a comprehensive approach to risk management.

The relationship between the probability of a super event and the importance of a unique event is complex and depends on several factors. Generally speaking, as the probability of a super event increases, the importance of a unique event may decrease in relative importance.

This is because the focus shifts from rare events to more probable ones. As the probability of a super event increases, there may be a greater need to allocate resources toward preventing or mitigating the effects of such events. This can mean that resources that were previously allocated to mitigating the risks of unique events may be redirected towards addressing the more significant risk posed by the super event.

However, it is important to note that the importance of unique events should not be overlooked or underestimated. These events may still pose significant risks and may require specific measures to prevent or mitigate their effects. Additionally, unique events may have consequences that cannot be addressed by measures intended to address super events.

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Calculate an interval for which you can have a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.)

Answers

To calculate the interval for a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval, we need to use a confidence interval formula. Assuming a normal distribution, we can use the formula:

1. Obtain the mean (µ) and standard deviation (σ) of the work of adhesion values from the sample data.
2. Determine the desired confidence level (95% in this case), which corresponds to a Z-score of 1.96 (from a standard normal distribution table).
3. Calculate the standard error (SE) by dividing the standard deviation (σ) by the square root of the sample size (n): SE = σ / √n.
4. Calculate the margin of error (ME) by multiplying the Z-score by the standard error: ME = 1.96 * SE.
5. Find the confidence interval by subtracting and adding the margin of error from the mean: (µ - ME, µ + ME).

Round your answers to two decimal places. This interval provides a 95% confidence that the true work of adhesion values for at least 95% of all UHPC specimens adhered to steel lie between these limits.

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Let n be a positive integer. Show that in any set of n consecutive integers there is exactly one divisible by n. (Using The Pigeon-Hole Principle)

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Using the Pigeonhole Principle, we can prove that in any set of n consecutive integers, there is exactly one integer that is divisible by n.

The Pigeonhole Principle states that if you have more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. I

n this case, the pigeons represent the consecutive integers and the pigeonholes represent the possible remainders when dividing the integers by n.

Consider a set of n consecutive integers, starting from some integer k. The n integers can be written as k, k+1, k+2, ..., k+n-1. To show that there is exactly one integer divisible by n, we will assign each integer to a pigeonhole based on its remainder when divided by n.

Since there are n possible remainders when dividing an integer by n (0, 1, 2, ..., n-1), and we have n consecutive integers, by the Pigeonhole Principle, there must be at least two integers that have the same remainder when divided by n.

Let's say two integers, k+i and k+j, have the same remainder r when divided by n, where i < j.

Then we have (k+i) ≡ r (mod n) and (k+j) ≡ r (mod n).

Subtracting these two congruences, we get (k+j) - (k+i) ≡ 0 (mod n), which simplifies to j - i ≡ 0 (mod n). This implies that n divides (j - i).

Since j > i, we have j - i > 0, and since n divides (j - i), we conclude that n must divide (j - i), which means that one of the integers between k+i and k+j is divisible by n.

Therefore, in any set of n consecutive integers, there is exactly one integer that is divisible by n.

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John used his MasterCard credit card to purchase groceries for $75.63, gas for $93.45, and a video game for $61.93 this month. How much should his payment to his credit card company be in order for him to avoid interest charges on these purchases?

Answers

Answer:

231.01

Step-by-step explanation:

The relationship between V, the volume of a cube, and E, the length of each edge of the cube, is shown below.
3/V= E
E
What is the length, in inches, of each edge of a cube that has a volume of 64 cubic inches?

Answers

Answer: 4 inches.

Step-by-step explanation:

Given: The relationship between V, the volume of a cube, and E, the length of each edge of the cube is given by :-

\(\sqrt[3]{V}=E\)

If volume = 64 cubic inches, then put V= 64, we get

\(\sqrt[3]{64}=E\\\\\Rightarrow\ \sqrt[3]{4\times 4\times 4} =E\\\\\Rightarrow\ \sqrt[3]{4^3} =E\\\\\Rightarrow\ 4 =E\)

Hence, the length of each edge of a cube =   4 inches.

how many eighth size parts do you need to model 3/4

Answers

Answer:

You need 6, 1/8 parts to make 3/4

Step-by-step explanation:

The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4

6/8ths is the correct answer

bruh

which statement is true about a decrease, or leftward shift, in the market demand curve?

Answers

A decrease in the market demand curve indicates that consumers are willing to purchase fewer units of the good or service at each price point.

A decrease in the market demand curve indicates that the quantity of goods and services demanded by consumers at each price point is decreasing. Put another way, the quantity demanded is inversely related to the price. When the price of a good or service increases, consumers are less likely to purchase it, and as a result, the quantity of the good or service demanded decreases. Conversely, when the price of a good or service decreases, consumers are more likely to purchase it, and as a result, the quantity of the good or service demanded increases. In short, a decrease in the market demand curve reflects a decrease in the quantity of goods and services that consumers are willing to purchase at each price point.

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jayden is renovating his bathroom. he wants to put a new tile floor down. jayden knows he needs no fewer than 90 tiles to cover the entire floor.

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Jayden needs no fewer than 90 tiles to cover the entire floor of his bathroom during the renovation. This means that he needs at least 90 tiles to complete the project.

It is important for Jayden to accurately measure the size of his bathroom floor and calculate the number of tiles he will need to ensure that he has enough to cover the entire area. If he does not have enough tiles, he may need to purchase additional tiles to complete the project. It is also important for Jayden to consider the size and shape of the tiles he will be using, as this will impact the number of tiles he will need to cover the floor. By accurately measuring and calculating the number of tiles needed, Jayden can ensure that he has enough materials to complete the renovation of his bathroom floor.

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please help :( best explanation i give brainliest :)

please help :( best explanation i give brainliest :)

Answers

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

\(\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}\)             [cross multiply]

\(400x=240000\)                         [divide both sides by 400]

\(x=600g\)

We will need 600 g chopped tomatoes.

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

Stock

\(\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}\)               [cross multiply]

\(400x=180000\)                         [divide both sides by 400]

\(x=450\)

We will need 450 ml of stock.

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

Red wine

\(\frac{400g}{300ml} =\frac{300g}{x}\)                            [cross multiply]

\(400x=90000\)                           [divide both sides by 400]

\(x=225\)

We will need 225 ml of red wine.

May I please receive help?

May I please receive help?

Answers

Answer:

Arc=4\(\pi\)

Step-by-step explanation:

The formula to get the length of arc is

Arc= degree x \(\pi\)/180 x radius

Going by this formula, we can plug in a few numbers:

Arc= 80 x \(\pi\)/180 x 9

Since it says to go off of term pi, we can simplify the 80 and the fraction and simplify.

Arc=80\(\pi\)/180 x 9

Arc=4\(\pi\)/9 x 9

Simplify, the nine cancels out

Arc=4\(\pi\)

Help me pls !!!!!!!!!’n

Help me pls !!!!!!!!!n

Answers

Answer:

x=-31/4

Step-by-step explanation:

Cross multiply and bring 3 to the opposite side.

3(3x+8) =5x-7

9x+24=5x-7

Bring all the x to one side and the numbers to the other

9x-5x=-7-24

4x=-31

x=-31/4

Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.

Answers

Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

\(x = \sqrt{(13^2 + 48^2)} \\\\\)

  \(= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\\)

Mary's route was 49.73 square miles, to sum it up.

Nancy drove \(\sqrt{2,840} \ miles = 53.2916 \ miles\)

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy

Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.

Answers

The better buy is given by the following brand:

Brand A.

How to obtain the better buy?

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Two numbers each with two decimd
places round to 312 to one decima
place. The total of the numbers is
62.4, What could the numbers be?
You need to be clear on their understands
of rounding and what it means when f
Says two numbers each with two
decimal places, for example, they may
choose 3121+ 3419 both of which
round
to 31.2 when rounded to
I decimal place.
Fows on knowing that when rounding.
it is
Can they find all of these using
Systematic approach.

Answers

It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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The high for Monday was 0 degrees Fahrenheit and the low was -4 degrees Fahrenheit. What is the difference between the high and low temperature?

Answers

One is in the negatives. The difference is 5

A study was conducted by the Department of Zoology at Virginia Tech to determine if there is a significant difference in the density of organisms at two different stations located on Cedar Run, a secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The following data give the density measurements, in number of organisms per square meter, at the two collecting stations: test the hypothesis at the 0.05 level of significance that sigma^2_1 = sigma^2_2 against the alternative that sigma^2_1 notequalto sigma^2_2, where sigma^2_1 and sigma^2_2 are the variances of the number of organisms per square meter of water at the two different locations on Cedar Run.

Answers

The Department of Zoology at Virginia Tech conducted a study to compare the density of organisms at two different stations on Cedar Run, a secondary stream in the Roanoke River drainage basin. The study aimed to determine if there was a significant difference in the variances of the number of organisms per square meter of water at the two locations.

To test the hypothesis at the 0.05 level of significance that sigma^2_1 = sigma^2_2 against the alternative that sigma^2_1 ≠ sigma^2_2, we will perform an F-test. Here are the steps:

1. Calculate the sample variances (s^2) for both sets of density measurements.
2. Find the ratio of the larger sample variance to the smaller sample variance: F = (s^2_1) / (s^2_2), where s^2_1 > s^2_2.
3. Determine the degrees of freedom for both sets of data: df1 = n1 - 1 and df2 = n2 - 1, where n1 and n2 are the sample sizes.
4. Find the critical F values for a two-tailed test at the 0.05 level of significance using the F-distribution table, with df1 and df2 as the row and column indexes.
5. Compare the calculated F value to the critical F values. If the calculated F value is between the lower and upper critical F values, then we fail to reject the null hypothesis (sigma^2_1 = sigma^2_2). If the calculated F value is less than the lower critical F value or greater than the upper critical F value, we reject the null hypothesis and accept the alternative hypothesis (sigma^2_1 ≠ sigma^2_2).
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Which ratios are equal to 4:32? Select all that apply. PLS HELPPPP

Answers

The ratios equal to 4:32 are 1:8 and 2:16.

What is a Ratio?

A ratio indicates the number of times one number contains another.

The given ratio is 4 : 32.

Note that the ratio remains unchanged if it is multiplied or divided by the same number, therefore,

The ratios equivalent to 4:32 are:

4:32

= 1 : 8

= 2 : 16

The ratios equal to 4:32 are 1:8 and 2:16.

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Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make

Answers

My previous answer was incorrect, sorry for that... the correct answer would be 358,800

\(\huge\text{Hey there!}\)

\(\large\text{He has 26 letters all together (A - Z)}\)

\(\large\text{25 if he starts from his second letter (B - Z)}\)

\(\large\text{24 if he starts from his third letter (C - Z)}\)

\(\large\text{ 23 if he starts from his fourth letter (D - Z)}\)

\(\mathsf{26\times25\times24\times23}\)

\(\mathsf{26\times 25 = \bf 650}\)

\(\mathsf{650\times24\times23}\)

\(\mathsf{650\times24 = \bf 15,600}\)

\(\mathsf{15,600\times 23}\)

\(\mathsf{ =\bf 358,800}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

33.3% and 0.3 as a fraction

Answers

Answer:

0.3 as a fraction would be 3/10

33.3 would be 333/10

To check it so 3 ÷ 10 and 333 ÷ 10

It will give you the decimal again.

Step-by-step explanation:

You're welcome.

Answer: the answer is 33.3 is 33 3/10  and 0.3 is 3/10

Step-by-step explanation:

you welcome (ノ◕ヮ◕)ノ*:・゚✧



6. Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Answers

Therefore, there are 10 different signals that can be generated using 5 flags of different colors, where each signal requires the use of 2 flags, one below the other.

To determine the number of different signals that can be generated using 5 flags of different colors, where each signal requires the use of 2 flags, one below the other, we can use the concept of combinations. Since each signal consists of 2 flags, we need to select 2 flags out of the 5 available. The order of selection does not matter, as the flags are stacked vertically. The number of combinations of selecting 2 flags out of 5 can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Where:

C(n, k) represents the number of combinations of selecting k items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers less than or equal to n.

In this case, n = 5 (5 flags) and k = 2 (selecting 2 flags).

Plugging in the values:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

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There are 530 estudents in my class 30% are footballers.how many students are not footballers

Answers

Answer:

371 students

Step-by-step explanation:

100% = 530

10% = 53

30% = 53 x 3 = 159

159 students are footballers.

Now we subtract.

530 - 159 = 371

371 students are not footballers.

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McKenzie buys 250 shares of stock for $12 a share and pays a 2% commission. She sells the stock 3 years later for $18 a share and pays a 1% commission. What are her net proceeds?

Answers

The net proceeds of McKenzie are $1395. This solution is obtained using the arithmetic operations.

What are arithmetic operations?

All real numbers are thought to be sufficiently described by the four basic operations, sometimes referred to as "arithmetic operations." The mathematical operations quotient, product, sum, and difference follow division, multiplication, addition, and subtraction.

We are given that McKenzie buys 250 shares of stock for $12 a share and pays a 2% commission.

So, total cost of buying is as follows:

⇒ Buying cost = (250 * 12) + 2%   (Using addition operation)

⇒ Buying cost = 3000 + 2%

⇒ Buying cost = $3060

Now, she sells the stock for $18 a share and pays a 1% commission.

So, total cost of selling is as follows:

⇒ Selling cost = (250 * 18) - 1%      (Using subtraction operation)

⇒ Selling cost = 4500 - 1%

⇒ Selling cost = $4455

Now by using the subtraction operation, we get

Net proceeds = Selling cost - Buying cost

⇒ Net proceeds = 4455 - 3060

⇒ Net proceeds = $1395

Hence, the net proceeds of McKenzie are $1395.

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Carrie sewed a square blanket with an area of 225 in^2
What is the length of each side of the blanket?
A. 56.25 in
B. 15 in
C. 112.5 in
D. 10 in

Answers

Answer:

The answer is A 56.25

Step-by-step explanation:

Since a square has 4 sides, divide 225 by 4 to get 56.25. To check your answer multiply 56.25 x 4 to get 225 in^2.

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Answer:

a.56.25

Step-by-step explanation:

Which panda was heavier when born

Answers

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

On saturdays, cars arrive at sami schmitt's scrub and shine car wash at the rate of 6 cars per fifteen minute interval. Using the poisson distribution, the probability that five cars will arrive during the next five minute interval is.

Answers

The probability that five cars will arrive during the next thirty minute interval is 0.0361

What is probability?

Probability is a way of calculating how likely something is to happen. Numerous things are difficult to forecast with absolute confidence.

Main Body:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 15 minutes is 6.

The average number of cars arriving in 1 minute is = 6/15 = 2/5

The average number of cars arriving in 5 minutes is, (2/5)*5 = 2

The random variable X follows a Poisson distribution with parameter λ = 2.

The probability mass function of X is:

P(X=\(x\)) = \((e^{-2} 2^{x} )/x!\)  , x = 0,1 ,2 ,3...

Compute the probability that 5 cars will arrive in 5 minutes as follows:

P(X=5) =\((e^{-2} 2^{5} )/5!\)

P (X= 5) = 0.0361

Hence probability is 0.0361

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Price-supply equation. The marginal price at a supply level of \( \mathrm{x} \) bottles of laundry detergent per week is given by \[ p^{\prime}(x)=\frac{-13300}{(5 x+40)^{2}} \] a. Find the price-supply equation if the distributor of the detergent is willing to supply 75 bottles a week at a price of $5.00 per bottle. b. How many bottles would the supplier be willing to supply at a price of $5.15 per bottle?

Answers

The supplier would be willing to supply 95 bottles per week at a price of $5.15 per bottle.

a. To find the price-supply equation, we need to integrate the given marginal price function.

Integrating gives us the total price function:

\([ p(x) = \int p'(x) dx = \int \frac{-13300}{(5 x+40)^{2}} dx = \frac{2660}{5 x+40} + C ]\)

Here, C is the constant of integration.

To find the value of C, we can use the information given in the problem that the distributor is willing to supply 75 bottles a week at a price of $5.00 per bottle.

This gives us the equation:

\(5 = \frac{2660}{5(75)+40} + C\)

Solving for C, we get:

\(C = 5 - \frac{2660}{5(75)+40} = 1.64\)

Therefore, the price-supply equation is:

\(p(x) = \frac{2660}{5 x+40} + 1.64\)

b. To find the number of bottles the supplier would be willing to supply at a price of $5.15 per bottle,

We need to solve the price-supply equation for x when p(x) = 5.15.

\(5.15 = \frac{2660}{5 x+40} + 1.64\)

Subtracting 1.64 from both sides and multiplying by the denominator gives:

\(3.51 = \frac{2660}{5 x+40}\)

Multiplying by the denominator and dividing by 3.51 gives:

\(5 x + 40 = \frac{2660}{3.51}\)

Solving for x, we get:

\(x = \frac{\frac{2660}{3.51} - 40}{5} = 95.66\)

Therefore, the supplier would be willing to supply 95 bottles per week at a price of $5.15 per bottle.

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The supplier would be willing to supply 150 bottles at a price of $5.15 per bottle.

Given the marginal price at a supply level of x bottles of laundry detergent per week is given by

\(\[p^{\prime}(x)=\frac{-13300}{(5 x+40)^{2}}\]\)

a) To find the price-supply equation if the distributor of the detergent is willing to supply 75 bottles a week at a price of $5.00 per bottle

We need to find the general equation of the price and supply at first by integrating the given marginal price function.

\(\[\int p^{\prime}(x) dx = p(x) = -13300 \int \frac{1}{(5 x+40)^{2}} dx\]\)

Applying the substitution rule,

\(\[u = 5x + 40 \quad \frac{du}{dx} = 5\]\)

After solving the above equation,

we get\(\[p(x) = \frac{13300}{5 (5 x+40)}+C\]\)

To find the value of C, we will use the given information that supplier is willing to supply 75 bottles a week at a price of $5.00 per bottle.

We know that when 75 bottles are supplied, the price is $5.00.Substituting these values in the above equation,

\(\[p(x) = \frac{13300}{5 (5 x+40)}+C\]\[\frac{13300}{5 (5 * 75+40)}+C = 5.00\]\)

Solving for C,\(\[C = 5.00 - \frac{13300}{5 (5 * 75+40)}\]\[C = 3.08\]\)

Hence the required price-supply equation is

\(\[p(x) = \frac{13300}{5 (5 x+40)} + 3.08\]\)

b) To find how many bottles the supplier would be willing to supply at a price of $5.15 per bottle

We know that the price of one bottle of laundry detergent is given by the equation,

\(\[p(x) = \frac{13300}{5 (5 x+40)} + 3.08\]\)

When the price is $5.15 per bottle, we need to find the value of x.

\(\[5.15 = \frac{13300}{5 (5 x+40)} + 3.08\]\)

Solving for x,

\(\[x = 150\]\)

Hence, the supplier would be willing to supply 150 bottles at a price of $5.15 per bottle.

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