Marian is itemizing deductions on her federal income tax return and had

Discuss the concepts of Mean, Median, Mode, and Standard Deviation, including when each should be used, and evaluate the differe

yaroslaw [1]

The mean is a mathematical concept that is used to determine what the average number is in a given set of numbers. For example, given a set of numbers, 5, 1, 1, 1, and 4, the mean is 2.4 ( $\frac{5+1+1+1+4}{5}$ ), where /5 is the sum of the given set of numbers.

<h3>What is the Median?</h3>

The median is a term used to represent the middle value in a given set of numbers. For example, given a set of numbers, 5, 1, 1, 1, and 4, the median is 1 because it is the middle for this set of numbers counting from left to right.

The mode is a term that refers to the most frequently repeated value in a given set of numbers. For example, given a set of numbers 5, 1, 1, 1, and 4, the mode in the set is 1 since it occurs most, exactly three times.

<h3>What is the Standard deviation?</h3>

Standard deviation is a statistical method used to determine how far (i.e the deviation) of a given dataset relative to its mean. It is often calculated as the square root of variance.

You can learn more about the concepts of Mean, Median, and Mode here brainly.com/question/14532771

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5 0

2 years ago

2. Matthew bakes apple pies that he sells at the local farmer’s market. If the price of apples increases, the a. supply curve fo

nikklg [1K]

Answer:

The correct answer is option b.

Explanation:

Mathew bakes and sells apple pies. Apple here is used as an input. If the price of apple increases, it means the cost of producing apple pies is increasing as well.

At the given cost the firm will be able to produce fewer apple pies. This will cause a reduction in the supply of apple pies. Consequently, the supply curve will shift to the left.

5 0

2 years ago

Raul is a saver. He sets aside $200 per month during his career of 40 years to prepare for a comfortable retirement. He does not

monitta

Answer:

$211,971.

Explanation:

he will have earned in $115,971 in interest.

3 0

3 years ago

If Wild Widgets, Inc., were an all-equity company, it would have a beta of 0.9. The company has a target debt-equity ratio of .4

Veronika [31]

Answer:

a. 6.5%

b. 13.06%

c. 10.91%

Explanation:

a.

Cost of debt of a bond is yield to maturity. Yield to maturity is the rate of return that a investor actually receives or a borrows actually pays on a bond. It is long term return or payment which is expressed in annual term.

Formula for yield to maturity is as follow

Yield to maturity = [ C + ( F - P ) / n ] / [ (F + P ) / 2 ]

By placing values in the formula

Assuming the bond face value is $1,000

Yield to maturity = [ (1000x7.2) + ( 1,000 - $1,090 ) / 20 ] / [ ( 1,000 + $1,090 ) / 2 ]

Yield to maturity = [ $72 + ( 1,000 - $1,090 ) / 20 ] / $1,045

Yield to maturity = [ $72 - $4.5 ] / $1,045

Yield to maturity = $67.5 / $1,045

Yield to maturity = 6.5%

So, the cost of Debt is 6.5%

b.

As 0.9 is the unlevered beta, We need Levered beta due to restructuring of capital.

Beta Levered = Beta Unlevered x ( 1 + ( 1 - tax rate ) x Debt / Equity)

Beta Levered = 0.9 x ( 1 + ( 1 - 0.35 ) x 0.4 )

Beta Levered = 1.134

Cost of equity can be calculated using CAPM

CAPM calculated the expected return on an equity investment based on the risk free rate, market premium and risk beta of the investment.

Formula for CAPM is as follow

Expected return = Risk free Rate + Beta ( Market premium)

As we know the Risk premium is the difference of market return and risk free rate.

Expected return = Risk free Rate + Beta ( Market Return - Risk free Rate )

Ra = Rf + β ( Rm - Rf )

Ra = 4.1% + 1.134 ( 12% - 4.1% )

Ra = 13.06%

Cost of Equity is 13.06%

c.

WACC is the average cost of capital of the firm based on the weightage of the debt and weightage of the equity multiplied to their respective costs.

According to WACC formula

WACC = ( Cost of equity x Weightage of equity )+ ( Cost of debt ( 1- t) x Weightage of debt )

Placing the values in formula

If the debt to equity 0.4 the equity value should be 1 and total capital is 1.4 ( 1 + 0.4 )

WACC = ( 13.06% x 1 / 1.4 )+ ( 6.5% ( 1- 0.35) x 0.4 / 1.4 ) = 9.71% + 1.2% = 10.91%

WACC is 10.91%

4 0

2 years ago

Crandle Corp. applies manufacturing overhead costs to products at a budgeted indirectminuscost rate of $ 100 per direct manufact

katen-ka-za [31]

Answer:

total product costs = $101750

Explanation:

given data

overhead costs = $ 100

Direct materials of $41,000

direct manufacturing labor = 450

per hour = $35

markup rate = 30 %

solution

we get here total product costs that is express as

total product costs = Direct materials + DML + MOH ..........1

total product costs = $41,000 + ( 450 × $35 ) + ( 450 × $100 )

total product costs = $41,000 + $15750 + $45000

total product costs = $101750

4 0

3 years ago