Answer:
$3.85
Explanation:
Calculation to determine the current dividend per share
First step is to calculate the Dividend yield using this formula
Dividend yield=Dividend for next period/Current price
Let plug in the formula
Dividend yield=(13%/2)
Dividend yield=6.5%
Second step is to calculate the Dividend for next period
Dividend for next period=($63*6.5%)
Dividend for next period=$4.095
Now let determine the Current dividend using this formula
Current dividend=Dividend for next period*Present value of discounting factor(rate%,time period)
Let plug in the formula
Current dividend=$4.095/1+.065
Current dividend=$4.095/1.065
Current dividend=$3.85(Approx).
Therefore the current dividend per share is $3.85
A stock will pay no dividends for the next 5 years. Then it will pay a dividend of $9.51 growing at 1.75%. The discount rate is 9.14%. What should be the current stock price
Answer:
PV= $84.56
Explanation:
Giving the following information:
A stock will pay no dividends for the next 5 years. Then it will pay a dividend of $9.51 growing at 1.75%. The discount rate is 9.14%.
First, we need to calculate the value of the stock in five years:
PV5 = D1 / (i - g)
PV5= (9.51*1.0175) / (0.0914 - 0.0175)
PV5=$130.94
Now, the value today of the stock:
PV= FV / (1 + i)^n
PV= 130.94 / (1.0914^5)
PV= $84.56
g Suppose total output (real GDP) is $1,000 and labor productivity is $10. We can conclude that the number of worker hours must be
Answer:
100
Explanation:
Hours worked = Real GDP / labour productivity
1000 / 10 = 100
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
GDP calculated using the expenditure approach = Consumption spending by households + Investment spending by businesses + Government spending + Net export
Real GDP is GDP calculated using base year prices. Real GDP has been adjusted for inflation.
Draw supply and demand graphs that estimate what will happen to demand, supply, and the equilibrium price of coffee if these events occur: Widely reported medical studies suggest that coffee drinkers are less likely to develop certain diseases.
Answer:
Please find the required diagram in the attached image
Explanation:
Only a change in the price of a good leads to a movement along the demand curve of that good. Also, only a change in the price of the good would lead to an increase or decrease in the quantity demanded of that good.
Other factors other than the change in the price of the good would lead to a shift of the demand curve. Some of those factors include :
1. a change in consumers' expectation
2. a change in the taste of consumers
3. a change in income
As a result of the study, there would be an increase in the demand for coffee. This would shift the demand curve to the right. As a result, there would an increase in equilibrium price and quantity
What is the effective annual cost of skipping the discount and paying at the end of the net period for the following credit terms: 6/10, net 70
Answer:
APR = 38.829%
APY = 45.70%
Explanation:
Missing word "Calculate the APR and the APY."
Discount % = 6%
Total period = 70
Discount period = 10
i. APR = (Discount% / [100% - Discount%]) * (365 / [Total period - Discount period])
APR = [6% / 100%-6%] * [365 / 70 - 10]
APR = 6%/94% * 365/60
APR = 0.06382979 * 6.083333
APR = 0.38829787
APR = 38.83%
ii. APY = (1 + [Discount% / {100% - Discount%}])^(365/[Total period - Discount period]) - 1
APY = [1 + [6%/ / 100%-6%]^(365/70-10) - 1
APY = {1 + 0.06382979]^6.083333 - 1
APY = 1.06382979^6.083333 - 1
APY = 1.45704250704 - 1
APY = 0.45704250704
APY = 45.70%
Peterson Company billed its customers a total of $840,000 for the month of November. The total includes a 5% state sales tax.
(a) Determine the proper amount of revenue to report for the month.
(b) Prepare the general journal entry to record the revenue and related liabilities for the month.
Answer:
a. $800000
b. Account receivable Dr. 840000
To sales revenue 800000
To sales tax payable 40000
Explanation:
a. Given the total billed amount = $840000
Sales tax = 5%
Total revenue for the month = 840000 x (100 / 105) = $800000
b. Account receivable Dr. 840000
To sales revenue 800000
To sales tax payable 40000
(Deferred Tax Asset with and without valuation Account) Jennifer Capriati Corp. has a deferred tax asset account with a balance of $150,000 at the end of 2016 due to a single cumulative temporary difference of$375,000. At the end of 2017, this same temporary difference has increased to a cumulative amount of $450,000. Taxable income for 2017 is$820,000. The tax rate is 40% for all years. No valuation account related to the deferred tax asset is in existence at the end of 2016. Instructions (a) Record income tax expense, deferred income taxes, and income taxes payable for 2017, assuming that it is more likely than not that the deferred tax asset will be realized. (b) Assuming that it is more likely than not that$30,000 of the deferred tax asset will not be realized, prepare the journal entry at the end of 2017 to record the valuation account.
Answer:
a. Income Tax Expense (Dr.) $298,000
Deferred Tax (Dr.) $30,000
Income Tax Payable (Cr.) $328,000
Explanation:
b. Income Tax expense (Dr.) $30,000
Allowance to reduce deferred tax value to NRV (Cr.) $30,000
Income tax payable is calculated based on tax rate of 40%.
$820,000 * 40% = $382,000
The following data represents number of customers arriving at Quick Lube for an oil change between 9 and 11 AM over the past 6 days.
Day 1 2 3 4 5 6
Customers 34 33 35 36 36 37
Required:
Using the Naive Method, how many customers would you forecast for Day 7?
Answer:
37
Explanation:
The naïve technique of forecasting is a simple forecasting technique that is used among time series data. in this type of forecasting, we use the actual figure in the last period to make a forecast for the next period that follows it.
In this question, the last day is day 6, and the number of customer on this day is 37. With the explanation in the paragraph above, the forecast for day 7 is still going to be 37 customers, given that day 7 follows day 6, which was the last period.
Crazy Mountain Outfitters Co., an outfitter store for fishing treks, prepared the following unadjusted trial balance at the end of its first year of operations:
Crazy Mountain Outfitters Co.
Unadjusted Trial Balance
April 30, 2018
Debit
Balances Credit
Balances
Cash 11,400
Accounts Receivable 72,600
Supplies 7,200
Equipment 112,000
Accounts Payable 12,200
Unearned Fees 19,200
Common Stock 20,000
Retained Earnings 117,800
Dividends 10,000
Fees Earned 305,800
Wages Expense 157,800
Rent Expense 55,000
Utilities Expense 42,000
Miscellaneous Expense 7,000
475,000 475,000
For preparing the adjusting entries, the following data were assembled:
Required:
Supplies on hand on April 30 were $1,380.
Fees earned but unbilled on April 30 were $3,900.
Depreciation of equipment was estimated to be $3,000 for the year.
Unpaid wages accrued on April 30 were $2,475.
The balance in unearned fees represented the April 1 receipt in advance for services to be provided. Only $14,140 of the services was provided between April 1 and April 30.
2. Determine the revenues, expenses, and net income of Crazy Mountain Outfitters Co. before the adjusting entries.
Revenues $
Expenses
Net income $
3. Determine the revenues, expenses, and net income of Crazy Mountain Outfitters Co. after the adjusting entries.
Revenues $
Expenses
Net income $
4. Determine the effect of the adjusting entries on Retained Earnings.
Retained Earnings increases by $.
Answer:
1. Dr Supplies expense $5,820
Cr Supplies $5,820
Dr Accounts receivable $3,900
Cr Earned fees $3,900
Dr Depreciation expense $3,000
Cr Accumulated depreciation $3,000
Dr Wages expense $2,475
Cr Wages payable $2,475
Dr Unearned fees $14,140
Cr Fees earned $14,140
2. Revenues $305,800
Expenses $261,800
Net income $44,000
3. Revenue $323,840
Expense $261,800
Net income $50,745
4. $6,745 Increase
Explanation:
1. Preparation of the journal entries necessary on April 30. 2019
Dr Supplies expense $5,820
Cr Supplies $5,820
($7,200-$1,380)
(To record supplies used)
Dr Accounts receivable $3,900
Cr Earned fees $3,900
(To record accrued fees Earned)
Dr Depreciation expense $3,000
Cr Accumulated depreciation $3,000
(To record equipment Depreciation)
Dr Wages expense $2,475
Cr Wages payable $2,475
(To record accrued wages)
Dr Unearned fees $14,140
Cr Fees earned $14,140
(To record fees earned)
2. Calculation to Determine the revenues, expenses, and net income of Crazy Mountain Outfitters before the adjusting entries.
REVENUE
Fees earned $305,800
EXPENSE:
Wages Expense $157,800
Rent Expense $55,000
Utilities Expense $42,000
Miscellaneous Expense $7,000
Expense $261,800
NET INCOME $44,000
($305,800-$261,800)
Therefore the revenues, expenses, and net income of Crazy Mountain Outfitters before the adjusting entries will be:
Revenues $305,800
Expenses $261,800
Net income $44,000
3. Calculation to Determine the revenues, expenses, and net income of Crazy Mountain Outfitters Co. after the adjusting entries.
REVENUE
Fees Earned $305,800
Fees earned but unbilled $3,900
Unearned fees $14,140
Revenue $323,840
EXPENSE
Wages Expense $157,800
Rent Expense $55,000
Utilities Expense $42,000
Miscellaneous Expense $7,000
Supplies expense $5,820
Depreciation of equipment $3,000
Unpaid wages accrued $2,475
Expense $273,095
NET INCOME $50,745
($323,840-$273,095)
Therefore the revenues, expenses, and net income of Crazy Mountain Outfitters Co. after the adjusting entries will be:
Revenue $323,840
Expense $261,800
Net income $50,,745
4. Calculation to Determine the effect of the adjusting entries on Retained Earnings.
Effect of the adjusting entries=$50,745-$44,000
Effect of the adjusting entries=$6,745
Therefore the effect of the adjusting entries on Retained Earnings is Retained Earnings increases by $6,745
In 2019, Teller Company sold 3,000 units at $600 each. Variable expenses were $420 per unit, and fixed expenses were $270,000. The same selling price, variable expenses, and fixed expenses are expected for 2020. What is Teller’s break-even point in units for 2020? g
Answer:
Break-even point in units= 1,500
Explanation:
Giving the following information:
Selling price= $600
Unitary variable cost= $420
Fixed cost= $270,000
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 270,000 / (600 - 420)
Break-even point in units= 1,500
1-a. How much will net operating income increase (decrease) per month if the monthly advertising budget increases by $8,400, the monthly sales volume increases by 100 units, and the total monthly sales increase by $9,500? 1-b. Should the advertising budget be increased?
Answer:
a. Income before advertising budget increase:
= Contribution margin - Fixed costs
= (38 * 3,600) - 79,000
= $57,800
Income after advertising budget increases:
= Sales - Variable expenses - Fixed expenses
Sales = (3,600 + 100 units) * 95 per unit
= $351,500
Variable expenses = 60% * 351,500
= $210,900
Fixed expenses = 79,000 + 8,400 advertising
= $87,400
Income = 351,500 - 210,900 - 87,400
= $53,200
b. Income decreased with the increase in advertising so Advertising budget should not be increased.
Catrina Santana contributed a patent, accounts receivable, and $23,000 cash to a partnership. The patent had a book value of $8,000. However, the technology covered by the patent appeared to have significant market potential. Thus, the patent was appraised at $85,000. The accounts receivable control account was $38,000, with an allowance for doubtful accounts of $2,000. The partnership also assumed a $10,000 account payable owed to a Santana supplier. On December 31, provide the journal entry for Santana's contribution to the partnership.
Answer:
Date Account Title Debit Credit
12/31 Cash $23,000
Patent $85,000
Accounts Receivable $38,000
Accounts Payable $10,000
Allowance for doubtful debt $2,000
Capital $134,000
Which of the following is the plan of action used by management to identify how resources will be allocated, how the company will market in its competitive environment, and how the firm will attain its goals?
A. Strategy
B. Organizational structure
C. Competitive advantage
D. Market analysis
E. Action plan
Answer:
A. Strategy
Explanation:
Strategy is basically a planning in which it tells how the things can be done. It is the planning action that applied by the management for identifying the resources that need to be distributed, how it can be in the competitive environment and how the company is able to achieve its goals and objectives
So, the option a is correct
When a market is in equilibrium, the: multiple choice 1 quantity demanded equals the price. quantity demanded equals the quantity supplied at the market price. quantity demanded equals the quantity supplied and they both equal the price. quantity supplied equals the price. The market for cell phones reaches equilibrium because cell phone sellers have an incentive: multiple choice 2 to decrease quantity and so do cell phone consumers, so the price goes to to equilibrium. for prices to rise and some cell phone consumers will not buy at higher prices, driving the price to equilibrium. to increase quantity and so do cell phone consumers, so the price goes to to equilibrium. for prices to fall and some cell phone consumers only buy at higher prices, driving the price to equilibrium.
ANSWER:
2 Batteries
Explanation:
Tracey Sales Co. has predicted the following costs for this year for 500,000 units: Manufacturing Selling and Administrative Variable $ 800,000 $250,000 Fixed 1,200,000 300,000 Total $2,000,000 $550,000 What is the markup on variable manufacturing costs needed to break even
Answer: 218.75%
Explanation:
In order to breakeven, the variable manufacturing cost would have to be the same as the fixed costs in addition to the administrative costs.
= Fixed costs + Administrative cost
= 1,200,000 + 550,000
= $1,750,000
Variable cost needs to be $1,750,000
It is currently at $800,000 so it needs to increase by:
= 1,750,000 / 800,000 * 100%
= 218.75%
Ramakrishnan Inc. reported 2018 net income of $20 million and depreciation of $1,500,000. The top part of Ramakrishnan, Inc.'s 2017 and 2018 balance sheets is listed as follows (in millions of dollars).
2018 2017 2018 2017
Current assets: Current liabilities:
Cash and marketable securities $25 $26 Accrued wages and taxes $43 $35
Accounts receivable 98 92 Accounts payable 69 60
Inventory 170 144 Notes payable 60 55
Total $293 $262 Total $172 $150
Calculate the 2018 net cash flow from operating activities for Ramakrishnan, Inc.
Answer:
$6,500,000
Explanation:
Calculation to determine the 2018 net cash flow from operating activities for Ramakrishnan, Inc.
Cash Flows from Operating Activities
Net income $ 20,000,000
Additions (sources of cash):
Depreciation $1,500,000
Increase in accrued wages and taxes $8,000,000
($43,000,000-$35,000,000)
Increase in accounts payable $9,000,000
($69,000,000-$60,000,000)
Less Increase in accounts receivable ($6,000,000)
($98,000,000-$92,000,000)
Less Increase in inventory ($26,000,000)
($170,000,000-$144,000,000)
Net cash flow from operating activities: $ $6,500,000
Therefore the 2018 net cash flow from operating activities for Ramakrishnan, Inc is $6,500,000
The MD Fund has an expected return of 16% and a standard deviation of 20%. The risk-free rate is 4%. What is the reward-to-volatility (Sharpe) ratio for the MD Fund
Answer: 60% or 0.60
Explanation:
Sharpe ratio shows the risk adjusted return of an asset and then compares it to a risk-free asset to see if its returns are higher after it has been adjusted for risk.
Formula is:
= (Expected return - Risk free rate) / Standard deviation
= (16% - 4%) / 20%
= 12% / 20%
= 60% or 0.60
Using the starting point method, what is the price elasticity of demand from a price of $4.50 to a price of $4.00 per pack of 100 screws
Answer:
The price elasticity of demand is -9.00.
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
The table below shows the weekly demand for machine screws at the local hardware store.
Price (dollars per pack of 100 screws) Quantity (packs of 100 screws)
$5.00 0
4.50 60
4.00 120
3.50 180
3.00 240
2.50 300
2.00 360
1.50 420
1.00 480
0.50 540
0.0 600
Using the starting point method, what is the price elasticity of demand from a price of $4.50 to a price of $4.00 per pack of 100 screws:
The explanation of the answer is now provided as follows:
New quantity = 120
Old quantity = 60
New price = $4.00
Old price = $4.50
Using the formula for calculating the starting point method for elasticity of demand, we have:
Price elasticity of demand = ((New quantity - Old quantity) / (New price - Old price)) * (Old price / Old quantity) = ((120 - 60) / (4.00 - 4.50)) * (4.50 / 60) = -9.00
Therefore, the price elasticity of demand is -9.00.
The price elasticity of demand is -9.00.
Given information
New quantity = 120
Old quantity = 60
New price = $4.00
Old price = $4.50
Now, we will use the formula below for calculating the starting point method for elasticity of demand.
Price elasticity of demand = ((New quantity - Old quantity) / (New price - Old price)) * (Old price / Old quantity)
Price elasticity of demand = ((120 - 60) / (4.00 - 4.50)) * (4.50 / 60)
Price elasticity of demand = -9.00
In conclusion, the price elasticity of demand is -9.00.
Read more about price elasticity of demand
brainly.com/question/5078326
A shortcoming of real gross domestic product (GDP) is it does not include the underground economy. includes nonmarket goods. does not measure changes in employment. does not include the value obtained through purchases of stocks and bonds. does not account for changes in the prices of goods and services.
Answer:
it does not include the underground economy.
Explanation:
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
Nominal GDP is GDP calculated using current year prices while Real GDP is GDP calculated using base year prices. Real GDP has been adjusted for inflation.
GDP calculated using the expenditure approach = Consumption spending by households + Investment spending by businesses + Government spending + Net export
Items not included in the calculation off GDP includes:
1. services not rendered to oneself
2. Activities not reported to the government
3. illegal activities
4. sale or purchase of used products
5. sale or purchase of intermediate products
consumers who had used a gasoline company's proprietary credit card...is the court of appeals likely to accept the interlocutory appeal
Answer:
No appeal can not be made.
Explanation:
Interlocutory appeal is the one in which a court will issue order while the case is still pending. Any appeal is not accepted on these orders. Appeal can only be made when the court issues final judgement after a trial.
suppose the transfers of pillars to the lantern would reduce sales to outside customers by 15000. whats the lowest transfer price that would
Answer:
$1.20
Explanation:
Variable cost per pillar is $0.80, there is demand of pillar for 15000 by an outside customer. The selling cost is around $0.40. The total variable cost is $1.20, this is minimum transfer price that can be set by the supplier.
A sector fund specializing in commercial bank stocks had average daily assets of $3.7 billion during the year. This fund sold $1.58 billion worth of stock during the year, and its turnover ratio was .42. How much stock did this mutual fund purchase during the year
Answer:
$1.554 billion
Explanation:
Turnover Ratio = Purchases / Average Inventory
0.42 = Purchases / $3.7 billion
Purchases = $3.7 billion * 0.42
Purchases = $1.554 billion
So, the value of stock that the mutual fund purchase during the year is $1.554 billion
Expando, Inc., is considering the possibility of building an additional factory that would produce a new addition to its product line. The company is currently considering two options. The first is a small facility that it could build at a cost of $7 million. If demand for new products is low, the company expects to receive $9 million in discounted revenues (present value of future revenues) with the small facility. On the other hand, if demand is high, it expects $14 million in discounted revenues using the small facility. The second option is to build a large factory at a cost of $8 million. Were demand to be low, the company would expect $9 million in discounted revenues with the large plant. If demand is high, the company estimates that the discounted revenues would be $13 million. In either case, the probability of demand being high is .30, and the probability of it being low is .70. Not constructing a new factory would result in no additional revenue being generated because the current factories cannot produce these new products.
1. Calculate the NPV for the following:
Plans NPV
Small facility $million
Do nothing million
Large facility million
2. The best decision to help Expando is:_________
Answer:
Expando, Inc.
1. NPV for the following:
Plans NPV
Small facility $3.5 million
Do nothing 0 million
Large facility 2.2 million
2. The best decision to help Expando is:_________
to build a small facility.
Explanation:
a) Data and Calculations:
Small Facility Large Facility
Initial investment costs $7 million $8 million
Discounted revenues:
Low demand 9 million 9 million
High demand 14 million 13 million
Probability of low demand = 0.70
Probability of high demand = 0.30
Expected revenue 10.5 million 10.2 million
($9m * 0.7 + $14m * 0.30) ($9m * 0.7 + $13m * 0.30)
NPV 3.5 million 2.2 million
1. NPV for the following:
Plans NPV
Small facility $3.5 million ($10.5 - $7) million
Do nothing 0 million ($0 - $0) million
Large facility 2.2 million ($10.2 - $8) million
The phone rings in the next room and the assistant answers it. She tells the caller, "Yes, sir, he is here." After a moment she adds: "He has been here for about five or ten minutes, sir." She soon hangs up, and comes in with your coffee. She tells you that it should not be too much longer and again apologizes. She explains that the CEO stopped at a gas station to call in. She then tells you that the CEO is a bit "old fashioned." "He doesn't really use a cell phone," she says. She turns to leave, but you ask her to have a seat. You have an opportunity here. What should you ask the CEO's personal assistant?
Answer:
The best question to ask the CEO's personal assistant while you are waiting for the CEO is:
Could you tell me about your work environment?
Explanation:
This question will enable you to build rapport with the personal assistant and to learn more about the organization. It will expose the personal assistant's job satisfaction level, the job setting, and social features, including physical conditions for a worker at the organization to fulfill her responsibilities. The question will also expose the general employee feelings of wellbeing, workplace relationships, productivity efficiency, and employee health. It will expose the organization culture, which is an important determinant of organizational success.
Choose the correct objective statement for this task.
Suppose that you have been given the task of organizing a graduation open house party for your younger brother who is graduating from high school.
a. To throw a graduation party Saturday afternoon after graduation for 50 guests, that provides ample entertainment and food, and allows my younger brother time to socialize with all the guests, at a cost of $400 or less, and all guests will be pleased with the party.
b. To throw a graduation party.
c. To throw a graduation party Saturday afternoon after graduation for 50 guests, that provides ample entertainment and food, and allows my younger brother time to socialize with all the guests.
d. To throw a graduation party Saturday afternoon after graduation for 50 guests, that provides ample entertainment and food, and allows my younger brother time to socialize with all the guests, at a cost of $400 or less.
Answer:
The correct objective statement for this task is:
b. To throw a graduation party.
Explanation:
Option b is the correct answer because it is concise and straight to the point. It does not start enumerating unnecessary details about the graduation party. Like a good objective statement, option b focuses the reader's attention to the main purpose of the task at hand. This is not so with options a, c, and d, which added details that were not covered by the task description.
The purpose of the Carlos Division is to develop a nuclear-powered aircraft. If successful, traveling delays associated with refueling could be substantially reduced. Many other benefits would also occur. To date, management has not had much success and is deciding whether a write-down at this time is appropriate. Management estimated its future net cash flows from the project to be $438 million. Management has also received an offer to purchase the division for $351 million. All identifiable assetsâ and liabilitiesâ book and fair value amounts are the same.
Required:
Prepare the journal entry to record the impairment at December 31, 2017.
Solution :
Calculate the amount of loss on impairment as follows :
Particular Millions($)
Fair value of the division 351
Less: carrying amount, net of good (474 - 210) 264
Implied goodwill 78
Less: carrying value of good will 210
Loss on impairment 132
Record impairment loss
Account title Debit($ million) Credit ($ million)
Loss of impairment 132
Goodwill 132
Which of the following expressions correctly describes economic profits? A. Marginal revenuesexplicit costs. B. Total revenuesexplicit costs. C. Total revenuesimplicit costsexplicit costs. D. Marginal revenuesimplicit costsexplicit costs.
Answer:
C. Total revenuesimplicit costsexplicit costs.
Explanation:
The formula to compute the economic profits is shown below:
The economic profit is
= Total revenue - (explicit cost + implicit cost)
or
= Total revenue - explicit cost - implicit cost
So based on the above formula, the option c is correct
And, the rest of the options are incorrect
I am buying a firm with an expected perpetual cash flow of $1,000 but am unsure of its risk. If I think the beta of the firm is 0, when the beta is really 1, how much more will I offer for the firm than it is truly worth? Assume the risk-free rate is 4% and the expected rate of return on the market is 10%. (Input the amount as a positive value.)
Answer:
$15,000
Explanation:
Value of a perpetuality = cash flow / r
According to the capital asset price model: Expected rate of return = risk free + beta x (market rate of return - risk free rate of return)
4 + 0 (10 - 4) = 4
1,000/ 0.04 = 25,000
4 + 1 (10 - 4) = 10
1000 / 0.1 = 10,000
25,000 - 10,000 = 15,000
Bethany needs to borrow $10,000. She can borrow the money at 6% simple interest for 5 yr or she can borrow at 5% with interest compounded continuously for 5 yr.
a. How much total interest would Bethany pay at 6% simple interest?
b. How much total interest would Bethany pay at 5% interest compounded continuously?
c. Which option results in less total interest?
Answer:
a. $3000
b. 2840.25
c. compounded continuously
Explanation:
a. principal amount, p = $10000
Interest rate in the case of simple interest = 6%
Time, t = 5 years
Interest amount = Prt
Interest amount = 10000 x 6% x 5 = $3000
b. principal amount, p = $10000
Interest rate, r = 5%
Time, t = 5 years
Interest amount = Pe^(rt) - P
Interest amount = 10000 (2.71)^(5% x 5) - 10000
Interest amount = 2840.25
c. Compounded continuously has a lower interest amount.
Assume that EEG Company wanted to reduce the cost of materials handling in each of its stores, and management set a target reduction of 2 percent per year. If a given store has current annual materials handling costs of $200,000 and expected an increase next year due to 15 percent growth, the budget for next year would be: A. $230,000 B. $216,000 C. $196,000 D. $225,400
What is the end behavior of the graph of the polynomial function f(x)
Answer:
f(x) approaches infinity as x approaches infinity
Explanation:
Given
[tex]f(x) = 3x^6 + 30x^5+ 75x^4[/tex]
Required
The end behavior of the graph
We have:
[tex]f(x) = 3x^6 + 30x^5+ 75x^4[/tex]
The above expression implies that:
[tex]f(x) = 3x^6 + 30x^5+ 75x^4[/tex]
The leading coefficient is 3 (3 is positive)
And the degree of the polynomial is 6 (6 is even)
When the leading coefficient is positive and the degree is even; the end behavior of the function is:
[tex]x \to \infty[/tex]
[tex]f(x) \to \infty[/tex]
