Sarah Wiggum would like to make a single​lump-sum investment and have ​$1.6 million at the time of her retirement in 32 years. She has found a mutual fund that expects to earn 4 percent annually.
How much must Sarah invest​ today?
If Sarah earned an annual return of 16 ​percent, how much must she invest​ today?
If Sarah can earn 4 percent annually for the next 32 ​years, how much will she have to invest​ today?

Answers

Answer 1

Answer and Explanation:

The computation is shown below:

When the rate of interest is 16% so the amount she invested now is

= $1,600,000 ÷ (1.16)^32

= $13,850

And, when the rate of interest is 4%, so the amount she invested now is

= $1,600,000 ÷ (1.04)^32

= $524,590

In this way it should be determined


Related Questions

trình bày ưu nhược điểm của các loại hình doanh nghiệp

Answers

Answer:

Explanation:

Doanh nghiệp tư nhân;

Công ty hợp danh;

Công ty TNHH 1 thành viên;

Công ty TNHH 2 thành viên;

Công ty cổ phần;

Glaston Company manufactures a single product using a JIT inventory system. The production budget indicates that the number of units expected to be produced are 195,000 in October, 203,500 in November, and 200,000 in December. Glaston assigns variable overhead at a rate of $0.70 per unit of production. Fixed overhead equals $152,000 per month. Compute the total budgeted overhead for October.

Answers

Answer:

the  budgeted overhead for October is $288,500

Explanation:

The computation of the budgeted overhead for October is given below:

The budgeted overhead is

= fixed overhead + variable overhead

= $152,000 + 195,000 units × $0.70

= $152,000 + $136,500

= $288,500

Hence, the  budgeted overhead for October is $288,500

Therefore the same is to be considered

Variable costs as a percentage of sales for Lemon Inc. are 71%, current sales are $551,000, and fixed costs are $207,000. How much will operating income change if sales increase by $37,600? a.$10,904 increase b.$26,696 decrease c.$26,696 increase d.$10,904 decrease

Answers

Answer: a.$10,904 increase

Explanation:

Operating income before sales increase:

= Sales - Variable costs - Fixed costs

= 551,000 - (71% * 551,000) - 207,000

= -$47,210

Operating income after sales increase:

Sales increases to:

= 551,000 + 37,600

= $588,600

= 588,600 - (71% * 588,600) - 207,000

= -$36,306

Difference:

= -47,210 - (-36,306)

= Increase of $10,904

bRamapo Company produces two products, Blinks and Dinks. They are manufactured in two departments, Fabrication and Assembly. Data for the products and departments are listed below. Product Number of Units Direct Labor Hours Per Unit Machine Hours Per Unit Blinks 1,048 4 7 Dinks 2,236 5 6 All of the machine hours take place in the Fabrication department, which has an estimated overhead of $82,200. All of the labor hours take place in the Assembly department, which has an estimated total overhead of $102,000. Ramapo Company uses a single plantwide overhead rate to apply all factory overhead costs based on direct labor hours. The factory overhead allocated per unit of Dinks is

Answers

Answer:

Ramapo Company

The factory overhead allocated per unit of Dinks is:

= $56.94.

Explanation:

a) Data and Calculations:

Product   Number of Units    Direct Labor         Machine

                                            Hours Per Unit   Hours Per Unit

Blinks                1,048                   4                           7

Dinks               2,236                   5                           6

                                      Fabrication      Assembly

Estimated overhead       $82,200       $102,000

Machine hours:

Blinks                              7,336

Dinks                              13,416

Total machines hours  20,752

Direct Labor hours:

Blinks                                                          4,192

Dinks                                                          11,180

Total machines hours                              15,372

Total factory overhead         Blinks          Dinks

Fabrication department    $29,058      $53,142

Assembly department          27,816        74,184

Total allocated overhead  $56,874   $127,326

Units produced                       1,048        2,236

Factory overhead per unit  $54.27      $56.94 ($127,326/2,236)

When there are batch-level or product-level costs, in comparison to a traditional cost system, an activity-based costing system ordinarily will shift costs from: a. high-volume to low-volume products. b. low-volume to high-volume products. c. specialized to standardized products. d. standardized to specialized products.

Answers

Answer: A. high-volume to low-volume products

Explanation:

Batch-level costs refers to the expenses that are related to the group of products which cannot be traced back to an individual item. The cost of production are incurred for the production of a batch.

Activity-based costing refers to the method whereby overhead and indirect costs are assigned to the products and services.

When there are batch-level or product-level costs, in comparison to a traditional cost system, an activity-based costing system ordinarily will shift costs from a high-volume to low-volume products.

When the price elasticity of demand for a good is very elastic, quantity demanded is _____ to a change in price and the demand curve is relatively _____. Group of answer choices

Answers

Answer:

1. Responsive

2. Elastic

Explanation:

When the price elasticity of demand for a good is very elastic, quantity demanded is RESPONSIVE to a change in price and the demand curve is relatively ELASTIC.

This is because the price elasticity of demand measures the responsiveness of the quantity demanded to a change in price.

Consequently, as the quantity demanded changes, the demand curve then becomes relatively elastic, by shifting either to the right or left.

On December 31, 2020, the Bennett Company had 110,000 shares of common stock issued and outstanding. On July 1, 2021, the company sold 22,000 additional shares for cash. Bennett's net income for the year ended December 31, 2021, was $630,000. During 2021, Bennett declared and paid $72,000 in cash dividends on its nonconvertible preferred stock. What is the 2021 basic earnings per share

Answers

Answer:

$4.61

Explanation:

Calculation to determine the 2021 basic earnings per share

Using this formula

2021 basic earnings per share=Net income-Cash Dividend/shares of common stock issued+(additional shares for cash*6/12)

Let plug in the formula

2021 basic earnings per share=$630,000-$72,000/110,000+(22,000*6/12)

2021 basic earnings per share=$558,000/110,000+11,000

2021 basic earnings per share=$558,000/121,000

2021 basic earnings per share=$4.61

Therefore the 2021 basic earnings per share is $4.61

The 2021 basic earnings per share is $4.61

Earnings per share = (Net Income - Preferred Dividends) / WACSO

EPS = (630,000 - 72,000) / 121,000

EPS = 558,000 / 121,000

EPS = 4.61

To compute for Weighted average common stock outstanding.

January 1, 2021       110,000 * 12/12                       110,000

July 1, 2021              22,000 * 6/12                         11,000

Weighted Average Common Stock outstanding       121,000

Therefore, the 2021 basic earnings per share is $4.61

Learn more at : https://brainly.com/question/7520008

Elbert uses FedEx in a scheme to defraud Global Sales Company by obtaining merchandise to which he is not entitled. Found guilty of mail fraud, Elbert can be punished by

Answers

Answer: None of the choices.

Explanation:

The options to the question are:

a. imprisonment for up to fifty years.

b. imprisonment for up to twenty years and/or fines.

c. fines up to $5 million.

d. none of the choices

Based on the questions asked, the options provided aren't correct. It should be noted that Elbert can be punished by imprisonment in this case for a period of your to about five years as well as a fine of up to $1000.

) Calculate the CPI for each year. Show your work in the chart and circle the CPI for each year. b) Calculate the inflation rate for each year compared to the year prior. Show your work in the chart and circle the inflation rate for each year. c) Based on your completed chart, what is the percentage decrease or increase in 2022 prices compared to 2020

Answers

Answer:

CPI in 2019 = 80

CPI in 2020 = 100

CPI in 2021 =120

CPI in 2022 =180

Inflation rate in 2019 = -

Inflation rate in 2020 = 25%

Inflation rate in 2021 = 20%

Inflation rate in 2022 = 50%

There was a 25% increase in price from year 2020 to 2022

Explanation:

Please find attached an image of the table used in answering this question

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.  

CPI = (cost of basket of goods in current period / cost of basket of goods in base period) x 100

CPI in 2019 = 16/20 x 100 = 80

CPI in 2020 = 20 / 20 x 100 = 100

CPI in 2021 = 24 / 20 x 100 = 120

CPI in 2022 = 36 / 20 x 100 = 180

Inflation is a persistent rise in the general price levels

Inflation rate = (change in prices / previous years price) x 100

Inflation rate in 2020 = [(20 - 16) / 16] x 100 = 25%

Inflation rate in 2021 = [(24 - 20) / 20] x 100 = 20%

Inflation rate in 2022 = [(36 - 24) / 24] x 100 = 50%

Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $48,400. The machine's useful life is estimated at 10 years, or 394,000 units of product, with a $9,000 salvage value. During its second year, the machine produces 33,400 units of product.

Required:
Determine the machineâs second-year depreciation and year end book value under the straight-line method.

Answers

Answer:the machine’s second-year depreciation and year end book value under the straight-line method is $3,990 and$40,420 respectively.

Explanation:

Straight line depreciation is calculated as

Depreciation= Initial value – salvage value / useful life

Depreciation=($48,400- $9,000)/10=$3,990

The depreciation expense each year would be $3990

Book value = Cost of asset- accumulated deprecation

Book value = Cost of asset - (2 years x depreciation)

=  $48,400- (2 x $3,990)

= $40,420

Therefore, the machine’s second-year depreciation and year end book value under the straight-line method is $3,990 and$40,420 respectively.

Jarrod receives a scholarship of $28,000 from East State University to be used to pursue a bachelor's degree. He spends $16,800 on tuition, $1,400 on books and supplies, $5,600 for room and board, and $4,200 for personal expenses. Jarrod may exclude _______ from his gross income.

Answers

Answer:

$18,200

Explanation:

Calculation to determine what Jarrod may exclude from his gross income.

Using this formula

Gross income=Tuition+Books and supplies

Let plug in the formula

Gross income= $16,800 + $1,400

Gross income=$18,200

Therefore Jarrod may exclude $18,200 from his gross income.

A major distinction between a conventional bank and an Islamic bank is that Islamic banks __ are allowed to charge higher interest on loans. cannot accept private deposits. cannot pay or charge interest. are not subject to any form of law,

Answers

Answer:

cannot pay or charge interest.

Explanation:

Islamic banks are banks that are based on Islamic laws or Sharia laws which is found in the Qur'an.

In Islamic banking, all banking transactions must be compliant with the Sharia laws.

Islamic banks differ from conventional banks in that :

1. they prohibit usury : Usury is charging interest on loans

2. they prohibit all forms of speculation : Islamic laws prohibit all forms of gambling

3. Investments in items that are not allowed in the Qur'an e.g. alcohol

Islamic bank use equity participation to make money. When an  Islamic bank lends money to a business, instead of charging interest on the loan, the receive equity in that business and are entitled to a part of the company's shares

MC Qu. 71 Benjamin Company had the following results... Benjamin Company had the following results of operations for the past year: Sales (16,000 units at $9.95) $159,200 Direct materials and direct labor$95,200 Overhead (20% variable) 15,200 Selling and administrative expenses (all fixed) 31,900 (142,300) Operating income $16,900 A foreign company (whose sales will not affect Benjamin's market) offers to buy 3,900 units at $7.39 per unit. In addition to variable manufacturing costs, selling these units would increase fixed overhead by $590 and selling and administrative costs by $290. Assuming Benjamin has excess capacity and accepts the offer, its profits will:

Answers

Answer:

Benjamin Company

Assuming Benjamin has excess capacity and accepts the offer, its profits will increase by:

= $3,995.

Explanation:

a) Data and Calculations:

Sales (16,000 units at $9.95)                          $159,200

Direct materials and direct labor                     $95,200

Overhead (20% variable)                                    15,200

Selling and administrative expenses (all fixed) 31,900

Total expenses                                                (142,300)

Operating income                                            $16,900

Relevant costs:

Direct materials and direct labor                     $95,200

Variable Overhead (20% variable)                       3,040 ($15,200 * 20%)

Total expenses                                                  (98,240)

Variable cost per unit = $6.14 ($98,240/16,000)

Additional costs:

Fixed overhead                                                        590

Selling and administrative expenses (all fixed)     290

Accepting the offer:

Revenue from offer =       $28,821 (3,900 * $7.39)

Costs:

Variable cost                    $23,946 (3,900 * $6.14)

Additional cost:

Fixed overhead                      590

Selling and

administrative expenses      290

Total costs on the offer $24,826

Increase in profits =         $3,995

Glen Inc. and Armstrong Co. have an exchange with no commercial substance. The asset given up by Glen Inc. has a book value of $72,000 and a fair value of $96,000. The asset given up by Armstrong Co. has a book value of $120,000 and a fair value of $114,000. Boot of $24,000 is received by Armstrong Co.What amount should Armstrong Co. record for the asset received

Answers

Answer:

the amount that should be recorded as the asset is $96,000

Explanation:

The computation of the amount that should be recorded as the asset is given below:

Book value of assets given up = $72,000

Add : cash paid in exchange. $24,000

Amount recorded as an asset should be $96,000

We simply added the book value and the cash paid amount for an exchange

Therefore the amount that should be recorded as the asset is $96,000

Emmitt uses his leadership and position to produce effects on others and influence his followers. What term is used to describe this ability of leadership?
a. Coercion
b. Force
c. Power
d. Authority

Answers

Answer:

c. Power

Explanation:

Leadership can be defined as a process which typically involves motivating, encouraging and inspiring employees working under an individual to be innovative and create positive changes that will foster growth and enhance the success of a business firm or company in the future.

A leader can be defined as an individual who is saddled with the responsibility of controlling, managing and maintaining a group of people under him or her. Some types of power expressed by leaders are referent power, legitimate power, coercive power, etc.

Generally, leaders use their powers to get other people to follow them. Some forms of power result from a formalized position in the organization while others are derived from personal characteristics or knowledge.

In this scenario, Emmitt uses his leadership and formal position to produce effects on others and influence his followers. Thus, the terminology which is used to describe Emmit's ability of leadership is power.

In conclusion, power is based on three (3) main factors, which are leader, follower and situation.

[ Shareholders - Employees - Managers - Officers - Board of Directors ]
(a) Who manages the big picture and strategies for corporations, and who manages the day to day affairs of a corporation?
(b) How are each put in their position?

Answers

A)board of directors
B)you can appoint new company shareholders at any point after incorporation.

How does unemployment impact a society

Answers

Unemployment has costs to a society that are more than just financial. Unemployed individuals not only lose income but also face challenges to their physical and mental health. Societal costs of high unemployment include higher crime and a reduced rate of volunteerism.

unemployment promotes poverty in the society

Explanation:

as people don't earn an income poverty is promoted which causes problems in economy

MC Qu. 149 Trago Company manufactures... Trago Company manufactures a single product and has a JIT policy that ending inventory must equal 30% of the next month's sales. It estimates that May's ending inventory will consist of 85,500 units. June and July sales are estimated to be 285,000 and 295,000 units, respectively. Trago assigns variable overhead at a rate of $2.30 per unit of production. Fixed overhead equals $405,000 per month. Compute the number of units to be produced and use this amount to compute the total budgeted overhead that would appear on the factory overhead budget for the month of June.

Answers

Answer:

$1067400

Explanation:

The computation of the number of units and factory overhead is given below:

units to be produced in june is  

= ending inventory + sales - beginning inventory

= (30% of 295000) + 285000 - 85500

= 288000 Units

Now  

Overheads budgeted for june

= variable overheads + fixed overheads

= (288000 × 2.3) + 405000

= 662400+405000

= $1067400

D Corporation applies manufacturing overhead to jobs using a predetermined overhead rate of 75% of direct labor cost. Any under of overapplied manufacturing overhead cost is closed out to Cost of Goods Sold at the end of the month. During May, the following transactions were recorded by the company:
Raw materials (all direct materials):
Purchased during the month $38,000
Used in production $35,000
Labor:
Direct labor-hours worked during the month 3,150
Direct labor cost incurred $30,000
Manufacturing overhead cost Incurred (total) $24,500
Inventories:
Raw materials (all direct), May 31 $8,000
Work in process, May 1 $9,000
Work in process, May 31 $12,000
Contains $4,400 in direct labor cost.
The Cost of Goods Manufactured for May was:____.
a. $84,500.
b. $95,000.
c. $75,500.
d. $81,500.

Answers

Answer:

D Corporation

The Cost of Goods Manufactured for May was:____.

a. $84,500.

Explanation:

a) Data and Calculations:

Predetermined overhead rate = 75% of direct labor cost

Raw materials (all direct materials):

Purchased during the month $38,000

Used in production                 $35,000

Labor:

Direct labor-hours worked during the month 3,150

Direct labor cost incurred $30,000

Manufacturing overhead cost Incurred (total) $24,500

Inventories:

Raw materials (all direct), May 31 $8,000

Work in process, May 1 $9,000

Work in process, May 31 $12,000

Contains $4,400 in direct labor cost.

Cost of Goods Manufactured:

Work in process

Beginning balance May 1     $9,000

Raw materials used           $35,000

Direct labor cost incurred $30,000

Overhead applied               22,500

Cost of goods manufactured          $84,500

Work in process, May 31                  $12,000

What kind of business can you start without start up capital?​

Answers

Answer:

Blog or Vlog

Explanation:

you can start a daily life Blog in social media.

Gotiable sells straw hats for $24 each. The April inventory purchases are summarized below. Gotiable sold 142 hats at a hat festival on April 28. Units Cost each Dollars Beg. Inv. 84 3 252 April 2 75 4 300 April 14 66 7 462 April 23 52 8 416
Assume that Gotiable uses the average cost method for inventory costing.
1. What is the average cost of one hat? (Round to the nearest penny (2 decimal points)).
2. What will be the dollar value of the inventory on the April 30th balance Sheet? (Round to the nearest dollar)
3. What will Gotiable report as Gross margin for the hats for the month of April? (Round to the nearest dollar)

Answers

Answer and Explanation:

The computation is shown below:

1.

Particulars        Units                 Unit Cost           Dollars

Beg. Inv.             84                      $3                    $252

Apr-02                75                      $4                    $300

Apr-14                  66                     $7                    $462

Apr-23                  52                    $8                    $416

Total                      277                                            $1,430

Average cost of one hat is

= Total cost of purchases ÷ Units purchased

= $1,430 ÷ 277 units

= $5.16  

2.  

Ending Inventory in Units = Units purchased - Units sold

= 277 units - 142 units

= 135 units

Now

Value of Ending Inventory = Units in Ending Inventory × Average cost per unit

= 135 units × $5.16

= $696.60

= $697

3

Gross Margin = Units sold × (Selling Price - Cost of goods sold)

= 142 units × ($24 - $5.16)

= $2,675.28

= $2,675

Watermelon, Inc. provides the following data: 20X9 20X8 Cash $41,000 $25,000 Accounts Receivable, Net 102,000 62,000 Merchandise Inventory 72,000 50,000 Property, Plant, and Equipment, Net 181,000 120,000 Total Assets $396,000 $257,000 Additional information for the year ending December 31, 20X9: Net Credit Sales $550,000 Cost of Goods Sold 150,000 Interest Expense 25,000 Net Income 181,000 Calculate the rate of return on total assets for 20X9.

Answers

Answer:

the rate of return on total assets is 63.09%

Explanation:

The calculation of the rate of return on total assets is shown below:

Return on total Asset is

= {(Net Income + Interest Expense) ÷ Average Total assets} × 100

= {($181,000 + $25,000) ÷ ($396,000 + $257,000) ÷ 2} × 100

= $206,000 ÷ $326,500 × 100

= 63.09%

Hence, the rate of return on total assets is 63.09%

According to the interest parity condition, if the domestic interest rate is 12 percent and the foreign interest rate is 10 percent, then the expected _________ of the foreign currency must be _________ percent. Group of answer choices

Answers

Answer: Appreciation; 2%

Explanation:

From the information given in the question,

Domestic Interest rate = 12%

Foreign interest rate = 10%

Let's assume,

S = spot exchange rate

F = forward exchange rate,

Based on the per interest rate parity, the forward exchange rate will be:

F = S × (1 + 10%) / (1 + 12%) = 0.98x

F = S × (1+0.1)/(1+0.12) = 0.98x

Therefore, the forward exchange rate will be expected to fall by:

= 1 - 0.98

= 0.2

= 2%

what is probability/impact matrix

Answers

Explanation:

probability and impact metrix is a tool for the project team iad in prioritizing risks.

Probability and Impact Matrix. The Probability and Impact Matrix is one the most commonly used qualitative assessment method. It is based on the two components of risk, probability of occurrence and the impact on objective(s) if it occurs.

Your firm is considering a project with a discount rate of 9%. If you start the projecttoday, your firm will incur an initial cost of $490 and will receive cash inflows of$365 per year for 3 years. If you instead wait one year to start the project, the initial cost will rise to $530 and the cash flows will increase to $405 a year for the following 3 years. Would your firm be better off starting the project now or waiting to start the project in a year? Explain clearly including an estimate of the value of the option to wait.

Answers

Answer:

If the company start the project today then NPV of the project,

Year                Cash Flow             PV of Cash flow

0                             -490                          -490

1                              365                   365/1.09= 334.86

2                              365                   365/1.09^2 = 307.21

3                              365                   365/1.09^3= 281.85

                                                                    NPV = 433.92

NPV of Project0= $ 433.92

If a company start a project after one year,

Year        Cash Flow                                 PV of Cash flow

0                       0                                                    0

1                     -530                                  -530/1.09= -486.24

2                           405                                      405/1.09^2 =340.88

3                      405                                   405/1.09^3 = 312.73

4                      405                                   405/1.09^4 = 286.91

                                                                           NPV = 454.28

NPV of Project1= $ 454.28

Here for project start after one year has more Net Present Value of cash flow compared to which start now.

So, Starting a project after one year is more profitable.

You discover that many consumers want easy access to pens in their cars, so you decide to produce a steering wheel that has a pen tucked inside that can conveniently pop out whenever someone needs it. The steering wheels become very popular with car companies. Developing this product is an example of what

Answers

Answer: c. Allocative efficiency

Explanation:

When an economy is experiencing allocative efficiency, it means that goods in the economy are being produced according to consumer preferences. This means that if consumers want a certain good in a certain quantity, the economy will produce that good in that quantity.

This is the case here. You saw that consumers wanted a good and you went ahead and produced it therefore giving consumers what they wanted.

It should not usually be clear whether we are describing independent or mutually exclusive projects in the following chapters because when we only describe one project then it can be assumed to be independent.

a. True
b. False

Answers

Answer:

false

Explanation:

A mutually exclusive project is a project that if one occurs then the other project cannot occur also at the same time. Mutually exclusive projects are independent projects also

The seven main functions of marketing summarize what it takes to _____.

Answers

Explanation:

The seven functions of marketing are distribution, market research, setting prices, finance, product management, promotional channels and matching products to consumers

I guess this may help

Answer:

All of the above

Explanation:

just took it

Given that individuals tend to judge the favorability of their outcomes relative to what others receive, what can be the result of someone getting rewarded for their performance but yet being disappointed in the reward that they receive?
Lewis Vacation Rentals has been experiencing a recent decline in its bookings. In an effort to increase sales, the company is offering its employees a 1 percent share in the company profit over the next six months in addition to regular employee salaries. Will this plan increase motivation? Why or why not?

Answers

Answer:

im not to sure

Explanation:

Answer:

C

Explanation:

expand the profitable departments and close down unprofitable ones

Ruston Company had Net Income for 2020 of $6,200,000. The firm invested $4,000,000 in manufacturing equipment during 2020. The equipment is being depreciated over five years using straight-line depreciation, starting in 2020. Assuming no other adjustments to cash flow than those mentioned here, create a statement of cash flows for 2020 with amounts in thousands. What is the Net Cash Flow in 2020

Answers

Answer:

$3,000,000

Explanation:

Calculation to determine the Net Cash Flow in 2020

STATEMENT OF CASH FLOW

For the Year 2020

Cash flow from operating Activities:

Net Income $6,200,000

Add Depreciation Expense $ 800,000

Net Cash provided by operating activities $7,000,000

($6,200,000+$800,000)

Cash flow from Investing activities:

Investment in Equipment ($4,000,000)

Net Cash used in Investing activities ($4,000,000)

Net Cash flow in 2020 $3,000,000

Depreciation under Straight Line method = (Cost - Salvage Value)/Useful Life

Depreciation under Straight Line method= (4000000-0)/5

Depreciation under Straight Line method= 800,000

Therefore the Net Cash Flow in 2020 is $3,000,000

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