Work out A and B in UK pounds

Kim Lee owes an estimated amount of $4,800 in taxes based on the provided tax rate schedule and his taxable income of $34,000.

To calculate the estimated taxes that Kim Lee owes based on his taxable income of $34,000 and the provided tax rate schedule, we need to determine the tax bracket he falls into and apply the corresponding tax rate.

Let's assume the tax rate schedule is as follows:

Taxable Income Tax Rate

$0 - $10,000 10%

$10,001 - $40,000 20%

$40,001 - $80,000 30%

$80,001 and above 40%

Since Kim Lee's taxable income is $34,000, he falls into the second tax bracket (20% tax rate). We can calculate his estimated taxes as follows:

Taxable income in the second bracket = $34,000 - $10,000 = $24,000

Estimated taxes in the second bracket = Taxable income * Tax rate

= $24,000 * 20% (0.20)

= $4,800

To learn more about tax rate here:

https://brainly.com/question/31322936

#SPJ4

The specific heat of granite is 634.92 J/(kg°C).

The specific heat reflects the ability of a substance to store or release thermal energy. Substances with higher specific heat values require more energy to change their temperature compared to substances with lower specific heat values.

This property is important in various fields, such as thermodynamics, engineering, and chemistry, as it helps determine the amount of heat needed or released in processes involving different materials.

To determine the specific heat of granite, we can use the equation: Q = mcΔT , where Q is the energy absorbed, m is the mass of the object, c is the specific heat, and ΔT is the change in temperature.

In this case, we are given:

Q = 2.8 x 10^7 J

m = 2350 kg

ΔT = 20°C - 5°C = 15°C

Rearranging the equation, we can solve for c: c = Q / (mΔT)

Plugging in the given values, we have: c = (2.8 x 10^7 J) / (2350 kg * 15°C)

Calculating this expression, we find: c ≈ 634.92 J/(kg°C)

Therefore, the specific heat of granite, based on the given information, is approximately 634.92 J/(kg°C).

To know more about specific heat, refer here :

https://brainly.com/question/31608647#

#SPJ11

Populations tend to accumulate late-acting deleterious mutations through genetic drift, while they accumulate antagonistic-pleiotropic alleles through natural selection, despite both types having late-acting deleterious effects.

Genetic drift, a random process that affects gene frequencies in populations, allows for the accumulation of late-acting deleterious mutations without regard to their fitness consequences. Since drift is not driven by selection, harmful mutations can persist and accumulate over time. In contrast, natural selection acts on antagonistic-pleiotropic alleles, favoring the ones with beneficial effects early in life, even if they have deleterious late-acting effects. This selective pressure promotes the accumulation of alleles that provide immediate fitness advantages but also carry later costs, as long as the overall benefits outweigh the drawbacks.

Learn more about antagonistic-pleiotropic alleles here:

https://brainly.com/question/30077729

#SPJ11

The length of the BC side is  the length of side BC is approximately 4.7 inches.

To find the length of side BC in the given cube, we can utilize the Pythagorean theorem. Let's denote the length of side CG as "a" and the length of side GB as "b."

Given:

Side CG = 2.5 inches

Side GB = 2.5√3 inches

To find side BC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Using BC as the hypotenuse, we have:

BC² = CG² + GB²

BC² = (2.5 inches)² + (2.5√3 inches)²

BC² = 6.25 + 15.625 inches²

BC² ≈ 21.875 inches²

Now, we can calculate the length of side BC by taking the square root of both sides:

BC ≈ √(21.875 inches²)

BC ≈ 4.67 inches (rounded to the nearest tenth)

Therefore, the length of side BC is approximately 4.7 inches when rounded to the nearest tenth.

To know more about the Pythagorean theorem:

https://brainly.com/question/343682

#SPJ11

In order to find the length of side BC in the cube, we use the Pythagorean theorem due to the presence of a right triangle. After substituting the values of side CG and GB into the theorem and solving for BC, we find BC equals approximately 4.3 inches.

To solve this problem, we must use the properties of a right triangle that is present in the cube. Since CG is one side of the triangle and GB forms the hypotenuse, we can use the Pythagorean theorem (a^2 + b^2 = c^2), where a and b are the legs of the right triangle, and c is the hypotenuse.

In this case, side BC (which we are trying to find) and side CG are the legs of the right triangle, and side GB is the hypotenuse. We know that CG is 2.5 inches and GB is 2.5√3 inches. So we substitute these values into the theorem: (2.5)^2 + BC^2 = (2.5√3)^2.

After simplifying, we find that BC equals apporximately 4.3 inches when rounded to the nearest tenth.

https://brainly.com/question/19649203

#SPJ12

The expression (2/3)² ÷ (4/5)³ × (3/5)²  can be simplified to a numerical value. The result of this expression can be calculated by performing the exponentiation and division operations on the given fractions.

To simplify the expression (2/3)² ÷ (4/5)³ × (3/5)², we can evaluate each fraction raised to its respective exponent.  Starting with (2/3)², we square the numerator (2² = 4) and the denominator (3² = 9), resulting in 4/9.  Next, we calculate (4/5)³ by cubing the numerator (4³= 64) and the denominator (5³ = 125), yielding 64/125.  Then, we find (3/5)² by squaring the numerator (3² = 9) and the denominator (5² = 25), giving 9/25.  Now, we can substitute these simplified fractions back into the expression:

(4/9) ÷ (64/125) × (9/25)

To divide fractions, we invert and multiply, so (4/9) ÷ (64/125) is equivalent to (4/9) × (125/64).  Multiplying these fractions gives us (4 × 125) / (9 × 64), which simplifies to 500/576.  Finally, multiplying this fraction by (9/25) results in (500/576) × (9/25).

To multiply fractions, we multiply the numerators (500 × 9 = 4500) and the denominators (576 × 25 = 14400), resulting in the fraction 4500/14400.

This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 900.  Thus, the final simplified value of the expression is 5/16.

learn more about divide  here:

https://brainly.com/question/15381501

#SPJ11

Volume = (571,536 sq ft × 481 ft) / 3 = 91,227,792 cubic ft

What is Limestone?

Calcium carbonate is one of the most commonly found materials in limestone rocks. Composition of calcium and magnesium as commonly produced from fossils, shells and debris.

(a) To estimate the total work done in building the pyramid, we need to calculate the gravitational potential energy of the pyramid. Gravitational potential energy is given by the formula:

Potential Energy = Mass × Gravity × Height

To calculate the weight of the pyramid, we need to determine its volume and density. The volume of a square pyramid is given by:

Volume = (base area x height) / 3

The base area of ​​the pyramid is given by:

Area of ​​base = length of side × length of side

Let's calculate the values ​​step by step:

Base area = 756 feet x 756 feet = 571,536 square feet

Volume = (571,536 square feet × 481 feet) / 3 = 91,227,792 cubic feet

Next, we need to convert volume to mass using density. However, the given information lacks the density of limestone. Could you please provide the density of the limestone so I can proceed with the calculation?

(b) Once we have the density of the limestone, we can estimate the number of workers needed to build the pyramid.

To learn more about Limestone from the given link

https://brainly.com/question/5993619

#SPJ4

Answer:

750 N

Step-by-step explanation:

As the seesaw is balanced, the torque on both ends must be equal.
Weight of the student is 250 N at 2.4 m from the axis
Let the father's weight be x N, at 0.8 m from the axis
= fd
So, 250 * 2.4 = 0.8 * x
Solving for x, the father's weight is 750 N

Answer:

Step-by-step explanation:

To prove that there must exist an integer m such that any collection of m integers will either contain a pair whose sum is divisible by 10 or contain a pair whose difference is divisible by 10, we can use the Pigeonhole Principle.

The Pigeonhole Principle states that if we distribute more than n objects into n pigeonholes, then at least one pigeonhole must contain more than one object.

In our case, the objects are the integers, and the pigeonholes are the possible remainders when dividing an integer by 10. Since there are only 10 possible remainders (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9), we can distribute the integers into these 10 pigeonholes based on their remainders when divided by 10.

Now, consider a collection of m integers. We need to show that if m is large enough, there will always be either a pair whose sum is divisible by 10 or a pair whose difference is divisible by 10.

Let's consider the 10 possible remainders when dividing an integer by 10. If any of these remainders have more than one integer assigned to them (pigeonhole contains more than one object), we can easily find a pair that satisfies either condition.

Case 1: Pigeonhole contains more than one integer with a remainder of 0 when divided by 10.

In this case, we have at least two integers x and y such that x ≡ 0 (mod 10) and y ≡ 0 (mod 10). Therefore, their sum x + y is divisible by 10, and we have found a pair whose sum is divisible by 10.

Case 2: Pigeonhole contains more than one integer with a remainder between 1 and 9 (inclusive) when divided by 10.

In this case, we have at least two integers x and y such that x ≡ r (mod 10) and y ≡ r (mod 10), where r is a remainder between 1 and 9. Therefore, their difference x - y is divisible by 10, and we have found a pair whose difference is divisible by 10.

In both cases, we have shown that for any collection of m integers, if m is large enough, there will always be either a pair whose sum is divisible by 10 or a pair whose difference is divisible by 10.

To compute the smallest such integer m, we need to find the smallest value of m for which the Pigeonhole Principle guarantees the existence of the desired pair.

In this case, we have 10 possible pigeonholes (remainders) and the minimum number of integers required to guarantee the existence of a pair is one more than the number of pigeonholes.

Therefore, the smallest integer m is 10 + 1 = 11.

Hence, for any collection of 11 integers, there must exist a pair whose sum is divisible by 10 or a pair whose difference is divisible by 10.

To know more about integer refer here:

https://brainly.com/question/490943#

#SPJ11

Caput succedaneum refers to common benign edema that crosses cranial suture lines and midline that appears on an infant's scalp shortly after birth.

Caput succedaneum is swelling (edema) that affects a newborn's scalp. It most commonly occurs from pressure on the head as the baby moves through the birth canal during a prolonged or difficult vaginal delivery. In caput succedaneum (kuh-PUT sec-seh-DAY-knee-um), fluid builds underneath the scalp, causing swelling.

Learn more about Soft Tissues at:

https://brainly.com/question/31710727

#SPJ4

The given question is incomplete, so i take similar question

What is swelling that crosses the suture lines on the newborn's head called?

Answer:

VZ = 18

Step-by-step explanation:

If XY || WZ, triangles VYX and

VZW are similar due to having 3 angles with same measurements. Similar figures’ corresponding sides can be found via the common ratio between the sides:

VZ/(36+VZ)= 24/72

VZ/(36+VZ) = 1/3

VZ = (36+VZ)/3

VZ = 12 + VZ/3

3VZ/3 - VZ/3 = 12

2VZ/3 = 12

VZ = 12 * 3/2

VZ = 18

The area of the figure given after dividing it to known figures is 58 mm².

Given a figure.

We have to find the area of the figure.

The given figure can be divided in to two rectangles by drawing a horizontal line where the length is increased.

Then we get two rectangles of dimensions,

Length = 6 mm and width = 5 mm

Length = 7 mm and width = 4 mm

Area of the figure = Total area of the two rectangles.

Area of a rectangle = length × width

Area of the figure = (6 × 5) + (7 × 4)

                              = 30 + 28

                              = 58 mm²

Hence the area is 58 mm².

Learn more about Area here :

https://brainly.com/question/11952845

#SPJ1

The probability that a randomly selected day in June will be foggy if it is cloudy can be determined by calculating the conditional probability of foggy days given cloudy days.

Let's denote the events as follows: C represents a cloudy day, and F represents a foggy day. We are given that the probability of a day being cloudy is 0.87 (87%) and the probability of a day being both cloudy and foggy is 0.73 (73%).

To find the probability of a day being foggy given that it is cloudy, we use the formula for conditional probability:

P(F | C) = P(F and C) / P(C)

In this case, P(F and C) represents the probability of a day being both foggy and cloudy, which is given as 0.73 (73%), and P(C) represents the probability of a day being cloudy, which is given as 0.87 (87%).

Therefore, the probability of a randomly selected day in June being foggy if it is cloudy can be calculated as:

P(F | C) = 0.73 / 0.87 ≈ 0.839

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The correct pair of factors for given trinomial pair is  (X + 2) and (X + 3).

A trinomial is a polynomial expression consisting of three terms. It is an algebraic expression that contains variables, coefficients, and exponents. The general form of a trinomial is: ax^2 + bx + c where 'a', 'b', and 'c' are constants, and 'x' is the variable.

To complete the factors and sums table for the trinomial X^2 + 5x + 6, we need to find two numbers that multiply to give the constant term (6) and add up to give the coefficient of the middle term (5). We can factor the trinomial as (X + a)(X + b), where 'a' and 'b' are the factors we need to determine.

Factors | Sum

(X + 1) | (X + 6) | 7

(X + 2) | (X + 3) | 5

(X + 3) | (X + 2) | 5

(X + 6) | (X + 1) | 7

From the table, we see that the pair of factors (X + 2) and (X + 3) gives the correct sum of 5 for the middle term. Therefore, the correct pair of factors for the trinomial X^2 + 5x + 6 is (X + 2) and (X + 3).

To know more about trinomials, refer here :

https://brainly.com/question/16347049#

#SPJ11

The approximate probability that the sample mean will be greater than 63 is 0.0885, rounded off to the second decimal place.

What is Central Limit Theorem?

The Central Limit Theorem (CLT) is a fundamental concept in statistics and probability theory. It states that, under certain conditions, the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To find the approximate probability that the sample mean will be greater than 63, we can use the Central Limit Theorem. The Central Limit Theorem states that for a large enough sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.

In this case, since the sample size is 58 (which is reasonably large), we can use the normal distribution to approximate the probability.

First, we need to calculate the standard error of the sample mean, which is the standard deviation of the population divided by the square root of the sample size:

Standard Error (SE) = Standard Deviation (σ) / √Sample Size (n)

SE = 17 / √58 ≈ 2.2271

Next, we can standardize the sample mean using the formula:

Z = (Sample Mean - Population Mean) / Standard Error

Z = (63 - 60) / 2.2271 ≈ 1.3488

Now, we need to find the probability of Z being greater than 1.3488 using the standard normal distribution table or a statistical calculator. Looking up the corresponding probability, we find that it is approximately 0.0885.

Therefore, the approximate probability that the sample mean will be greater than 63 is 0.0885, rounded off to the second decimal place.

To know more about Central Limit Theorem visit:

https://brainly.com/question/13652429

#SPJ4

Answer:

D: [-8, 8]

Step-by-step explanation:

Domain refers to allowable x-values. In the graph, x-values from -8 to 8 are used (look at what x values the graph passes through).

The statement ''If the order of the input numbers were altered or if we use a different algorithm, we will always end up with the same combination of numbers as answer.'' is false because the order of the input numbers and the choice of algorithm can indeed affect the resulting combination of numbers that maximizes the sum.

The maximum sum of a continuous subsequence within an array depends on the values and arrangement of the numbers.

Different orders of the input numbers can lead to different maximum sums and different combinations of numbers that achieve those sums.

Similarly, the choice of algorithm can also impact the result. Different algorithms may employ different strategies for finding the maximum sum subsequence, which can yield different combinations of numbers as the optimal solution.

Therefore, it is incorrect to claim that altering the order of input numbers or using a different algorithm will always result in the same combination of numbers as the answer.

To know more about input numbers refer here:

https://brainly.com/question/14188691#

#SPJ11

To cover the candle, Madeline will need around 150.72 square inches of wrapping paper.

To determine how much wrapping paper Madeline will use, we must first determine the surface area of the candle's correct circular cylinder shape. This comprises the top, bottom, and curving side areas.

To begin, we must determine the radius of the candle. Given that the diameter is 4 inches, the radius is half that, or 2 inches.

The area of the top and bottom of the candle may then be calculated. A = is the formula for calculating the area of a circle. As a result, the area of the top and bottom is:

A = inch square

To calculate the area of the curved side, take the circumference of the cylinder's circle (base) and multiply it by the height of the cylinder. C = is the formula for calculating the circumference of a circle. As a result, the circle's circumference is:

12.56 inches = C

Finally, we can calculate the area of the curved side by multiplying the circumference by the cylinder's height:

A is equal to 12.56 x 10 = 125.6 square inches.

To get the total quantity of wrapping paper required for Madeline, multiply the area of the top and bottom by the area of the curved side:

150.72 square inches = 12.56 + 12.56 + 125.6

To cover the candle, Madeline will need around 150.72 square inches of wrapping paper.

For more question on square

https://brainly.com/question/27307830

#SPJ8

The quotient is [tex]x^2 + 4x - 3[/tex] with a remainder of 0.

To perform the division of the polynomial [tex](x^3+6x^2+5x-6)[/tex] by (x+2), we can use long division method.

First, we divide the highest degree term, [tex]x^3[/tex], by x, which gives us[tex]x^2[/tex]. We then multiply [tex]x^2[/tex] by (x+2) to obtain [tex]x^3+2x^2.[/tex]

Subtracting this from the original polynomial, we get [tex]4x^2+5x-6.[/tex]

We proceed by dividing [tex]4x^2[/tex] by x, resulting in 4x.

Multiplying 4x by (x+2), we obtain [tex]4x^2+8x[/tex].

Subtracting this from the previous result gives -3x-6.

Finally, we divide -3x by x, resulting in -3, which is our final quotient.

Since the remainder is 0, the answer is [tex]x^2+4x-3[/tex] with no remainder.

for such more question on polynomial

https://brainly.com/question/7297047

#SPJ8

The basic security principle illustrated in this scenario is the principle of confidentiality.

Confidentiality is the concept of protecting sensitive information from unauthorized access, disclosure, or exposure. It ensures that information is only accessed and disclosed to authorized individuals who have a legitimate need for it.

In the given scenario, Alice's security assessment for Acme Widget is treated as confidential, indicating that the information contained in the assessment is restricted to specific employees who are authorized to read it. By limiting access to the assessment, Acme Widget is ensuring the confidentiality of the information within it.

Maintaining confidentiality helps protect sensitive data and prevents unauthorized individuals from gaining access to valuable or sensitive information. It is a fundamental principle in information security, particularly when dealing with proprietary information, trade secrets, personal data, or any other type of sensitive information that should remain private.

By adhering to the principle of confidentiality, organizations can mitigate the risk of data breaches, unauthorized disclosures, and potential harm to individuals or entities associated with the confidential information.

To learn more about security principle here:

https://brainly.com/question/29789410

#SPJ4

Period 1 is with highest grade.

Given,

Histograms for three periods.

Now,

Period 1:

Total grade = 1 + 5 + 14 + 12

Total grade = 32

Period 2 :

Total grade = 0 + 4 + 19 + 8

Total grade = 31

Period 3 :

Total grade = 0 + 4 + 10 + 10

Total grade = 24

Hence the data from histogram shows that the highest grade is from period 1 that is 32.

Learn more about Histogram,

https://brainly.com/question/30609323

#SPJ1

Paper Company will make the following entry:

Debit: Notes Receivable - Dame Company $4,700

Credit: Accounts Receivable $4,700

What is an entry?

An "entry" in accounting refers to the recording of a financial transaction or event in the company's books or accounting system. It is the process of documenting the impact of a transaction on the financial statements.

1. Debit: Notes Receivable - Dame Company ($4,700) - This account represents the amount owed to Paper Company by Dame Company and is classified as a noncurrent asset since it will be settled in more than one year.

2. Credit: Accounts Receivable ($4,700) - This account represents the open accounts receivable from Dame Company, which is now being settled through the promissory note.

By making this entry, Paper Company acknowledges the receipt of the promissory note and removes the outstanding accounts receivable from their books, replacing it with a notes receivable asset.

learn more about debit here:

https://brainly.com/question/3069919

#SPJ4

For any integer b, if a and n are coprime, then the congruence ax ≡ b (mod n) has a solution, which can be found using Bézout's identity or the Extended Euclidean Algorithm. An example solution is x ≡ 632 (mod 125).

(a) To show that for all b ∈ ℤ, the congruence ax ≡ b (mod n) has a solution when a is relatively prime to n, we can use Bézout's identity. Since a and n are relatively prime, there exist integers x and y such that ax + ny = 1 (by Bézout's identity). Now, multiplying both sides of the equation by b, we get b(ax) + b(ny) = b. Since b(ny) is divisible by n, we can rewrite the equation as b(ax) ≡ b (mod n).

Therefore, the congruence ax ≡ b (mod n) has a solution, namely x = bx, which satisfies the equation.

(b) An algorithm for solving congruences of the form ax ≡ b (mod n), where a is relatively prime to n, can be based on the Extended Euclidean Algorithm. This algorithm helps us find the Bézout coefficients x and y such that ax + ny = 1. Once we have the values of x and y, we can multiply both sides of the equation by b to obtain the solution to the congruence.

(c) To solve the congruence 8x ≡ 12 (mod 125), we need to find x such that 8x ≡ 12 (mod 125). Since 8 and 125 are relatively prime, we can apply the algorithm mentioned above. Using the Extended Euclidean Algorithm, we find that 8(-8) + 125(1) = 1. Multiplying both sides of the equation by 12, we get 8(-8)(12) + 125(12) = 12. Simplifying, we have -768 + 1500 ≡ 12 (mod 125).

Thus, x ≡ -768 (mod 125) is a solution to the congruence. The smallest positive integer solution can be found by adding multiples of 125 to -768 until we obtain a positive value, which in this case is x ≡ 632 (mod 125). Therefore, the congruence 8x ≡ 12 (mod 125) is satisfied when x ≡ 632 (mod 125).

To learn more about integer from the given link

https://brainly.com/question/929808

#SPJ4

A food that contains 20 grams of carbohydrates, 8 grams of protein, and 5 grams of fat provides approximately 157 calories.

To calculate the total calories provided by the food, we need to determine the calories contributed by each macronutrient and sum them up. Carbohydrates and proteins provide 4 calories per gram, while fat provides 9 calories per gram.

For carbohydrates: 20 grams * 4 calories/gram = 80 calories

For protein: 8 grams * 4 calories/gram = 32 calories

For fat: 5 grams * 9 calories/gram = 45 calories

Adding up the calories from each macronutrient, we have:

80 calories (carbohydrates) + 32 calories (protein) + 45 calories (fat) = 157 calories.

Therefore, a food containing 20 grams of carbohydrates, 8 grams of protein, and 5 grams of fat provides approximately 157 calories.

It's important to note that this calculation is an estimate and does not take into account other factors such as fiber content or specific types of fats. Additionally, there may be small rounding errors in the calculation.

Learn more about macronutrients here:

https://brainly.com/question/939751

#SPJ11

The mass of the block is 45.63 cc.

Here, we have,

Given the following data;

Side length of the base = 4.5 cm

Height = 10 cm

To find the volume of pyramid with a square base;

Mathematically, the volume of a pyramid with a square base is given by the formula;

Volume of square-based pyramid = A(h/3)

Where;

A is the area of the square base.

h is the height of the pyramid.

First of all, we would find the area of the square base;

Area of square, A = L²

A = 4.5²

A = 20.25 ft²

Next, we find the volume of the square-based pyramid;

Volume = 20.25(10/3)

Volume = 202.5 /3

Volume = 67.5 cm³

Then the mass of the block is 67.5 cm³ * 0.676 cc/cm³ = 45.63 cc

Hence, the mass of the block is 45.63 cc.

To learn more on volume click :

brainly.com/question/1578538

#SPJ1

In the balance sheet, mortgage notes payable are reported as a long-term liability only.

Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.

Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.

By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.

To learn more about balance sheet click here: brainly.com/question/28446946

#SPJ11

Answer:

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

We are given that rectangles ABCD and PQRS  are similar.

Also given that:

Use equal ratios of corresponding sides:

Substitute values and find the length of PS:

Therefore, the measure of PS is 4 units.

The average number of minutes spent talking on a cell phone is 35.625

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

The dot plot

The average is calculated as

Average = Sum of Call minutes * Frequency/Sum of Frequency

using the above as a guide, we have the following:

Average = (0 * 1 + 10 * 2 + 20 * 2 + 30 * 4 + 50 * 3 + 60 * 4)/(1 + 2 + 2 + 4 + 3 + 4)

Evaluate

Average = 35.625

Hence, the average is 35.625

Read more about dot plot at

https://brainly.com/question/14438425

#SPJ1

The break-even point is the point at which total revenue equals total costs, resulting in neither profit nor loss.

To calculate the break-even point in units, we need to determine the quantity of units that need to be sold in order to cover the total fixed costs.

In this case, the selling price per unit is $16, the variable cost per unit is $12, and the total fixed cost is $6,000.

The contribution margin per unit can be calculated by subtracting the variable cost from the selling price: $16 - $12 = $4.

The contribution margin represents the amount of revenue that contributes to covering the fixed costs and eventually leads to profit.

To find the break-even point in units, we divide the total fixed costs by the contribution margin per unit: $6,000 / $4 = 1,500 units. Therefore, the break-even point for Planet Company is 1,500 units.

This means that Planet Company needs to sell at least 1,500 units of their product to cover all their costs and reach the break-even point.

The break-even analysis helps businesses determine the minimum level of sales required to cover costs and make informed decisions about pricing, production, and sales strategies.

To know more about break-even analysis, visit:

https://brainly.com/question/30837449

#SPJ11