Complete Question:
The average weight of the 36 children in the group was 55 kgs. 5 children of average weight 53 kgs left the group. What was the new average weight of the group in kg?
Answer:
The new average weight of the group = 1,715/31 = 55.32 kgs
Explanation:
Average weight of 36 children = 55 kgs
Total weight of 36 children = 1,980 (36 * 55) kgs
Average weight of 5 children = 53 kgs
Total weight of 5 children = 265 (53 * 5) kgs
When 5 children of 53 kgs average weight left the group,
the remaining 31 children (36 - 5) had total weight = 1,715 (1,980 - 265)
Therefore, the new average weight for 31 children at a total of 1,715, will be
= 1,715/31
= 55.32 kgs
Average rate is considered as a single rate that applies to property in multiple locations and is based on a weighted average of the dweller rates for each site.
Given Information:
Average weight=55 kgsNumber of children=36Average weight of 36 children = 55 kgs
Total weight of 36 children = 1,980 (36 * 55) kgs
Average weight of 5 children = 53 kgs
Total weight of 5 children = 265 (53 * 5) kgs
When 5 children of 53 kgs average weight left the group, the remaining 31 children (36 - 5) had total weight = 1,715 (1,980 - 265)
Therefore, the new average weight for 31 children at a total of 1,715, will be
= 1,715/31
= 55.32 kgs
To know more about average weight, refer to the link:
https://brainly.com/question/18554478
WACC and Cost of Common Equity
Kahn Inc. has a target capital structure of 45% common equity and 55% debt to fund its $10 billion in operating assets. Furthermore, Kahn Inc. has a WACC of 12%, a before-tax cost of debt of 10%, and a tax rate of 25%. The company's retained earnings are adequate to provide the common equity portion of its capital budget. Its expected dividend next year (D1) is $3, and the current stock price is $34.
A. What is the company's expected growth rate?
B. If the firm's net income is expected to be $1.6 billion, what portion of its net income is the firm expected to pay out as dividends?
Answer:
A. What is the company's expected growth rate?
current stock price = expected dividend / (required rate of return - growth rate)
$34 = $3 / (12% - g)
12% - g = $3 / $34 = 8.82%
growth rate = 12% - 8.82% = 3.18%
B. If the firm's net income is expected to be $1.6 billion, what portion of its net income is the firm expected to pay out as dividends?
WACC = (equity x Re) + [debt x cost of debt x (1 - tax rate)]
12% = (45% x Re) + (55% x 10% x 0.75) = 0.45Re + 4.125%
0.45Re = 12% - 4.125% = 7.875%
Re = 7.875% / .45 = 17.5%
growth rate = (net income / equity) x (1 - dividend payout ratio)
3.18% = ($1.6 billion / $4.5 billion) x (1 - dividend payout ratio)
3.18% = 0.3556 x (1 - dividend payout ratio)
1 - dividend payout ratio = 3.18 / 0.3556 = 0.089
dividend payout ratio = 1 - 0.089 = 0.911
this means that the company distribute 91.1% of its net income to its stockholders
For much of the 1990s, the U.S. economy was experiencing long-run economic growth, low unemployment, and a stable inflation rate. Which of the following would give rise to these outcomes?
A. an increase in aggregate demand and short-run aggregate supply
B. a decrease in aggregate demand and short-run aggregate supply
C. a decrease in aggregate demand and an increase in short-run aggregate supply
D. an increase in aggregate demand and a decrease in short-run ag
Answer: . an increase in aggregate demand and short-run aggregate supply
Explanation:
From the question, we are informed that during the 1990s, the economy of the United States was experiencing long-run economic growth, low unemployment, and a stable inflation rate.
The reason for this is due to an increase in aggregate demand and short-run aggregate supply. This two factors will lead to the long run economic growth which the United States experienced.
Impact of 2020 lockdown on world's business economy?
Flip's Pizzeria Inc. has the following financial items for the current year: Advertising Expenses $35,000 Cost of Goods Sold $400,000 Other Operating Expenses $300,000 Sales $2,735,000 Cost of Equipment purchased during the year (10 year estimate useful life, 0 salvage value) $325,000 Calculate Flip's taxable liability for the current year.
Answer:
we must determine the taxable income:
Sales $2,735,000
Cost of Goods Sold $400,000
Advertising Expenses $35,000
Other Operating Expenses $300,000
taxable income = $2,000,000
assuming the current corporate income tax rate (21%), current tax liability = $2,000,000 x 21% = $420,000
Since the question did not include any specific tax rate, I used the current one. But if the complete question includes some other tax rate, just multiply the taxable income by it.
Our company has reviewed the utilities bills for our company. We have determined that the highest and lowest bills were $5,600 and $3,200 for the months of January and September. If we produced 1,200 and 600 units in these months, what was the variable cost per unit associated with the utilities bill
Answer:
Variable cost per unit= $4
Explanation:
Giving the following information:
We have determined that the highest and lowest bills were $5,600 and $3,200 for January and September. We produced 1,200 and 600 units in these months.
To calculate the variable cost per unit, we need to use the high-low method. We will use the following formula:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (5,600 - 3,200) / (1,200 - 600)
Variable cost per unit= $4
On July 1, 2015, Pryce Co. issued 1,000 of its 10%, $1,000 bonds at 99 plus accrued interest. The bonds are dated April 1, 2015 and mature on April 1, 2025. Interest is payable semiannually on April 1 and October 1. What amount did Pryce receive from the bond issuance
Answer:
$1,015,000
Explanation:
the issuer will receive = $1,000 x 99% = $990 for each bond
$990 x 1,000 bonds = $990,000
the issuer will also receive accrued interests = $1,000 x 10% x 3/12 months = $25 per bond
$25 x 1,000 bonds = $25,000
in total, the issuer will receive $990,000 + $25,000 = $1,015,000
If the expected sales volume for the current period is 7,000 units, the desired ending inventory is 400 units, and the beginning inventory is 400 units, the number of units set forth in the production budget, representing total production for the current period, is
Answer:
7,000 units
Explanation:
Calculation for the number of units set forth in the production budget, representing total production for the current period
Using this formula
Number of units =Sales volume for the current period +Desired ending inventory -Beginning inventory
Let plug in the formula
Number of units=7,000 units +400 units-400 units
Number of units=7,000 units
Therefore the number of units set forth in the production budget, representing total production for the current period is 7,000 units
In order to achieve the target for the nominal interest rate established by the monetary policy rule, the central bank adjusts:
Answer: C. the money supply.
Explanation:
The Money Supply in an economy can be adjusted to influence interest rates due to the indirect relationship that exists between them. This means that when there is a high money supply, interest rates are lower and vice versa.
The Central Bank controls how much money is in the economy by using Open Market operations that buy or sell government securities as well as reserve requirements on banks.
Which of the following is a factor that influences the business cycle?
interest rates on loans
tax rebates
political elections
import fees
Answer:
hey mate
good morning....
Explanation:
answer:is...... Interest rates on loan's...
I hope it's helpful to you......
plzzzz... mark Me As BrainleastWhich of the following is NOT a goal of operations management? (A) Understanding the drivers of customer utility (B) Match supply with demand (C) Make a profit while providing customers what they want *D) Provide great products at low prices to customers
Answer:
The answer is A.
Explanation:
Operations management involves all activities which produce and deliver goods and services. Operation is a core function in any organization.
The primary objective of operations management is to make use of the organizational resources to generate or produce goods and services.
All options except option A(Understanding the drivers of customer utility) are goals of operation management
Think about your decision to buy the textbook for this course. You paid $250 for the book, but you would have been willing to pay $500 to use the book for the semester. Suppose that at the end of the semester you could keep your textbook or sell it back to the bookstore. Once you have completed the course, the book is worth only $90 to you. The bookstore will pay you 50% of the original $250.
Required:
How much total value have you gained?
Answer:
$285
Explanation:
the total value is the total surplus i gained from this transaction
total surplus is the sum of producer and consumer surplus.
Consumer surplus is the difference between the willingness to pay of a consumer and the price of the good.
Consumer surplus = willingness to pay – price of the good
$500 - $250 = $250
Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
Producer surplus = price – least price the seller is willing to accept
(0.5 x $250) - $90 = $35
total surplus = $250 + $35 = $285
Harvest Inc. produces and sells a single product. The selling price of the product is $200.00 per unit and its variable cost is $80.00 per unit. The fixed expense is $300,000 per month. The break-even in monthly unit sales is closest to:
Answer:
Break-even point (units)= 2,500 units
Explanation:
Giving the following information:
The selling price of the product is $200.00 per unit and its variable cost is $80.00 per unit. The fixed expense is $300,000 per month.
To calculate the break-even point in units, we need to use the following formula:
Break-even point (units)= fixed costs/ contribution margin
Break-even point (units)= 300,000 / (200 - 80)
Break-even point (units)= 2,500 units
Blossom Company sells equipment on September 30, 2020, for $20,100 cash. The equipment originally cost $72,800 and as of January 1, 2020, had accumulated depreciation of $42,100. Depreciation for the first 9 months of 2020 is $5,45. Prepare the journal entries to (a) update depreciation to September 30, 2015, and (b) record the sale of the equipment.
Answer:
Date Account titles and explanation Debit Credit
30/09/2020 Depreciation expense $5,450
Accumulated depreciation $5,480
(To record depreciation expense)
30/09/2020 Accumulated depreciation $47,550
Cash $20,100
Loss on sale of equipment $5,230
Equipment $72,880
(To record sale of equipment)
The Park Avenue Corporation currently makes a part required in its finished product. The company uses 2,116 units of this part annually. Park Avenue Corp has been approached by a vendor to provide this part for $13.04 each. The following cost information is provided
Direct Materials per unit $6.34
Direct Labor per unit $7.30
Variable Factory Overhead per unit $2.50
Fixed Factory Overhead per unit $7.50
How much would Park Avenue Corporation save by having the vendor make the part, instead of making it themselves?
Answer:
If the company buys the part, it will save $$6,559.6
Explanation:
Giving the following information:
Purchase price= $13.04
The company uses 2,116 units of this part annually.
Production:
Direct Materials per unit $6.34
Direct Labor per unit $7.30
Variable Factory Overhead per unit $2.50
We weren't provided with information regarding the fixed costs. I will assume that non of the fixed overhead costs are avoidable, therefore, they are irrelevant to the decision making process.
Buy:
Total cost= 2,116*13.04= $27,592.64
Production:
Total cost= 2,116*(6.34 + 7.3 + 2.5)= $34,152.24
If the company buys the part, it will save $$6,559.6
In the case when the company buys the part, it will save $6,559.6.
Calculation of the value of part:Since
Purchase price= $13.04
Direct Materials per unit $6.34
Direct Labor per unit $7.30
Variable Factory Overhead per unit $2.50
Now
For Buy:
Total cost= 2,116*13.04= $27,592.64
For Production:
Total cost= 2,116*(6.34 + 7.3 + 2.5)= $34,152.24
So, we can say that In the case when the company buys the part, it will save $6,559.6.
Learn more about material here: https://brainly.com/question/24555844
If a stock is purchased for $100 per share and held one year, during which time a quarterly dividend of $1.5 is paid, each quarter, and the price climbs to $130 per share. What is the rate of return
Answer:
Total yield or rate of return is 0.36 or 36%
Explanation:
To calculate rate of return which is also the total yield on the stock, we will use the following formula,
Total Yield = (D + C) / P0
Where,
D represents dividends paid by the stock during the yearC is the capital appreciation(pr depreciation) or rise(or fall) in the price of the stock as compared to the purchase priceP0 is the purchase price or price in Year 0Total dividends for the year = 1.5 * 4 = $6
C = 130 - 100 = $30
Total Yield = (6 + 30) / 100
Total yield = 0.36 or 36%
The constant growth valuation formula has dividends in the numerator. Dividends are divided by the difference between the required return and dividend growth rate as follows:
P0=D1/(rs−g)
If you were analyzing the consumer goods Industry, for which kind of company in the industry would the constant growth model work best?
a. Young companies with unpredictable earnings
b. Mature companies with relatively predictable earnings
c. All companies
Garcia Company issues 10%, 15-year bonds with a par value of $230,000 and semiannual interest payments. On the issue date, the annual market rate for these bonds is 8%, which implies a selling price of 117 1/4. The effective interest method is used to allocate interest expense.
1. Using the implied selling price of 117 1/4, what are the issuer's cash proceeds from issuance of these bonds.
2. What total amount of bond interest expense will be recognized over the life of these bonds?
3. What amount of bond interest expense is recorded on the first interest payment date?
Answer:
A.$269,675
B.$305,325
C.$10,787
Explanation:
Requirement A Cash proceeds
Cash proceeds can find out by multiplying par value with the selling price
Cash proceeds = Par Value x Selling price
Cash proceeds = $230,000 x 117.25%
Cash proceeds = $269,675
Requirement B Interest Expense
Bond interest expense =Total repayment -Amount borrowed(REQ.A)
Bond interest expense = $575,000(w) - $269,675
Bond interest expense = $305,325
Workings
Semi-annual interest expense = $230,000 x 10% x 6/12
Semi-annual interest expense = $11,500
Total payment would be 30 for 15 years
Total payment = $11,500 x 30
Total payment = $345,000
Total repayment = Par value + $345,000
Total repayment = $230,000 + $345,000
Total repayment = $575,000
Requirement C Bond interest expense on the first interest payment date
Bond interest Expense = $269,675(REQ.A) x 8% x 6/12
Bond interest Expense = $10,787
A company’s perpetual preferred stock pays an annual dividend of $2.10 per share. The preferred stock’s market value is $36.04 per share and the company’s tax rate is 30%. If the flotation costs for preferred stock are 6%, what is the company’s annual cost of new preferred stock financing? Question 4 options: 1) 5.87% 2) 7.25% 3) 6.54% 4) 6.20% 5) 5.41%
Answer:
6.20%
Explanation:
The company’s annual cost of new preferred stock financing is the annual dividend payable on the preferred stock divided by the net price of the stock
annual dividend is $2.10
net price=market price*(1-flotation cost %)
net price=$36.04 *(1-6%)
net price=$ 33.88
company’s annual cost of new preferred stock financing=$2.10/$33.88
company’s annual cost of new preferred stock financing==6.20%
Since stock prices will shift in response to unpredictable future news, these prices will tend to follow what mathematicians call _________________.
Answer:
a random walk with a trend
Explanation:
This model assumes that in each period the stock prices would take a random step away from what was its previous value.
Stock prices cannot be predicted therefore they are a random walk. Future prices cannot be predicted by what used to be the prices in the past. Stock prices change in response to unpredictable future news, hence they follow a random walk with a trend.
Steve Madison needs $353,100 in 10 years.How much must he invest at the end of each year, at 9% interest, to meet his needs?
Answer:
$23,241.07
Explanation:
To determine the annual annuity, this formula would be used
PV = FV / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r = (1.09^10 - 1 ) / 0.09 = 15.192930
$353,100 / 15.192930 = $23,241.07
What is the difference in the present worth between an investment of $10,000 per year for 50 years and an investment of $10,000 per year forever at an interest rate of 10% per year
Answer:
Difference in Present Value = $ 851.86
Explanation:
The fist scheme is an annuity. A series of fixed cash flow occurring annually for certain period of time. We can determine the present value of the annuity using the formula below:
PV = A × (1- (1+r)^(-n) )/r
10,000 × (1- 1.10^(-50))/0.1 =99,148.14
The second scheme is a perpetuity . A series of fixed cash inflow occurring for the unforeseeable future
PV = A × 1/r
PV = 10,000× 1/0.1= 100,000
Difference in PV = 100,000 - 99,148.14= 851.855
Difference in Present Value = $ 851.86
Bruno's Lunch Counter is expanding and expects operating cash flows of $31,700 a year for 6 years as a result. This expansion requires $110,300 in new fixed assets. These assets will be worthless at the end of the project. In addition, the project requires $7,800 of net working capital throughout the life of the project. What is the net present value of this expansion project at a required rate of return of 11 percent
Answer:
the net present value of this expansion project is - $9,190.14.
Explanation:
Net Present Value is calculated by taking the Present Day (discounted) Value of all future net cash flows based on the cost of capital and subtracting the initial cost of investment.
Summary for Bruno's Lunch Counter cash flows for the Project are :
Year 0 = - $110,300
Year 1 = $31,700 - $7,800 = $23,900
Year 2 = $23,900
Year 3 = $23,900
Year 4 = $23,900
Year 5 = $23,900
Year 6 = $23,900
Use the financial calculator to input the values as follows
CF0 = - $110,300
CF1 = $23,900
CF2 = $23,900
CF3 = $23,900
CF4 = $23,900
CF5 = $23,900
CF6 = $23,900
P/yr = 1
r = 11 %
Net Present Value will be - $9,190.1453
You’ve just secured a new client in your accounting practice, Peter's Pool Corporation (PPC), a brand new small business specializing in pool service. The owner, Peter Peck, is a terrific swimmer and pool repair specialist, but definitely not an accountant. Your job is to help Peter put his affairs in order. Luckily, Peter has only been in operation for a month and things have not gotten too out of hand yet! Peter has to submit his financial statements to his investors and doesn’t know where to begin. It’s your job to go through the complete Accounting cycle to prepare the financial statements for the PPC.
Answer: just give what u know the business is small so it can’t manage
Explanation:
Blaser Corporation had $275,000 in invested assets, sales of $330,000, income from operations amounting to $33,000 and a desired minimum rate of return of 7.5%. The ROI for Blaser Corporation is
Answer:
Return on Investment (ROI) = 10%
Explanation:
Return on Investment (ROI) is the proportion of operating assets that earned as profit by a business entity.
It is determined by dividing the operating income by operating assets.
ROI is used to evaluate the performance of a business entity by comparing the entity's ROI to the opportunity cost of capital.
The opportunity cost of capital is the minimum rate of return that would be make Blaser corporation to be indifferent between investing the money in its business and an alternative investment outlet.
ROI = Operating income /Operating assets × 100
= 33,000/330,000 × 100= 10%
Return on Investment (ROI) = 10%
Today (year 0), a new 7-megawatt (MW) solar panel farm is constructed at a direct cost of $10 million. The indirect cost of 10% of the direct cost was spent. Four years from today, a smaller 6-MW solar farm will be added to the existing farm. The cost indices of today and after 4 years are 400 and 600 respectively. If the cost-capacity factor is 0.75 for solar panel construction, what is the estimated total capital investment (direct indirect) for the smaller 6-MW farm
Answer:
14.70 m
Explanation:
The computation of estimated total capital investment (direct indirect) for the smaller 6-MW farm is shown below:-
Cost of 6MW plant = Cost of 7MW today × (Index today ÷ Index in past) × (Capacity of 6MW plant ÷ Capacity of 7MW plant )^Cost capacity factor
= = 1.1 × 10m × (600 ÷ 400) × (6 ÷ 7)^0.75
= 14.6985
or
= 14.70 m
So, for computing the cost of 6MW plant we simply applied the above formula.
Eastline Corporation had 12,000 shares of $10 par value common stock outstanding when the board of directors declared a stock dividend of 4,080 shares. At the time of the stock dividend, the market value per share was $16. The entry to record this dividend is:
Answer: Debit Retained Earnings $40,080; credit Common Stock Dividend Distributable $40,080.
Explanation:
From the question, we have been informed that Eastline Corporation had 12,000 shares of $10 par value common stock outstanding when the board of directors declared a stock dividend of 4,080 shares. At the time of the stock dividend, the market value per share was $16.
Based on the information provided, above, the entry to record the dividend will be to debit the retained earnings by $40,080 and then credit the common Stock dividend Distributable by $40,080.
During the month of March, Karen Company's employees earned wages of $68,000. Withholdings related to these wages were $5,202 for Social Security (FICA), $14,700 for federal income tax, $6,300 for state income tax, and $900 for union dues. The company incurred no cost related to these earnings for federal unemployment tax, but incurred $2,000 for state unemployment tax.
Required:
Prepare the necessary March 31 journal entry to record wages expense and wages payable. Assume that wages earned during March will be paid during April.
Answer:
Journal entry to record wages expense and wages payable
Explanation:
As the company incurred no cost related to these earnings for federal unemployment tax so it would be excluded from wages and salaries expense
Entry DEBIT CREDIT
Salaries and wages Expense $68,000
Social Security(FICA) $5,202
Federal income tax $14,700
State income tax $6,300
union dues $900
Salaries and wages payable $40,898
The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 540 peas with 159 of them having
yellow pods. Find the value of the test statistic.
The value of the test statistic is (Round to two decimal places as needed.)
Answer:
2.361
Explanation:
Calculation to Find the value of the test statistic
Based on the given information let our:
p=0.25
x = 159
n = 540
Since our p is 0.25 the first step is to find q using this formula
q = 1 - p
Let plug in the formula
q = 1-0.25
q= 0.75
Second step is to find the psample using this formula
psample= x/n
Let plug in the formula
psample= 159/540
psample = 0.294
Last step is to find the value of the test statistic
Using this formula
z= (psample - p) / √(pq/n)
Let plug in the formula
z = (0.294 - 0.25) / √(0.25×0.75/540)
z=0.044/√(0.1875/540)
z=0.044/√(0.000347222222)
z=0.044/0.01863389
z=2.361
Therefore the value of the test statistic will be 2.361
Colt Carriage Company offers guided horse-drawn carriage rides through historic Charleston comma South Carolina. The carriage business is highly regulated by the city. Colt Carriage Company has the following operating costs during April: LOADING...(Click the icon to view the information.) During April (a month during peak season), Colt Carriage Company had 13 comma 500 passengers. Sixty percent of passengers were adults ($23 fare) while 40% were children ($15 fare). Requirements 1. Prepare the company's contribution margin income statement for the month of April. Round all figures to the nearest dollar. 2. Assume that passenger volume increases by 10% in May. Which figures on the income statement would you expect to change, and by what percentage would they change? Which figures would remain the same as in April?
Answer:
1) Colt Carriage Company
Income Statement
For the month ended April 202x
Revenues:
Adults passengers $186,300Children $81,000 Total revenues $267,300Variable costs:
City fees $26,730Souvenirs $7,425Brokerage fees $11,340Carriage drivers $52,650Total variable costs $98,145Contribution margin $169,155
Period costs:
Depreciation $2,900Horse leases $48,000Marketing expenses $7,350Payroll expenses $7,600Total period costs $65,850Operating profit $103,305
2) If the total amount of passengers increase by 10%, then all variable costs will increase by 10% except brokerage fees which would increase only by 6%. Revenues should also increase by 10%. Period costs should not change.
Contribution margin should increase by 10.29% and operating profit would increase by 16.81%.
Explanation:
since the information is not complete, I looked it up:
Revenues
13,500 passengers:
8,100 x $23 = $186,300
5,400 x $15 = $81,000
total $267,300
variable costs:
fees paid to the city 10% of total revenue
souvenirs $0.55 per passenger
brokerage fees 60% of total tickets x $1.40
carriage drivers $3.90 per passenger
fixed costs:
depreciation $2,900
horse leases $48,000
marketing expenses $7,350
payroll expenses $7,600
Jansen Company reports the following for its ski department for the year 2019. All of its costs are direct, except as noted.
Sales $610,000
Cost of goods sold 435,000
Salaries 113,000 ($25,000 is indirect)
Utilities 15,600 ($5,700 is indirect)
Depreciation 54,400 ($17,400 is indirect)
Office expenses 29,600 (all indirect)
1. Prepare a departmental income statement for 2019.
2. & 3. Prepare a departmental contribution to overhead report for 2019. Based on these two performance reports, should Jansen eliminate the ski department?
Answer:
1.
Jansen Company
Departmental Income Statement—Ski Department
For Year Ended 2019
Sales 610,000
Less : Cost of goods sold 435,000
Gross profit 175,000
Less; Expenses
Salaries 113,000
Utilities 15,600
Depreciation 54,400
Office expenses 29,600 212,600
Operating loss $37,600
2.
Jansen Company
Departmental Income Statement—Ski Department
For Year Ended 2019
Sales 610,000
Less : Cost of goods sold 435,000
Gross profit 175,000
Less; Direct Expenses
Salaries 88,000 (113,000 - 25,000)
Utilities 9,900 (15,600 - 5,700)
Depreciation 37,000 (54,400 - 17,400)
Total Direct Expenses 134,900
Contribution to overhead $40,100
They should not eliminate the Ski Department because it would contribute $40,100 to overhead.