ABC Company has completed the basic format to be used in preparing the statement of cash flows (indirect method). Listed below in random order are line items to be included in the statement of cash flows.
Purchase of equipment $2,210
Decrease in inventory 253
Increase in prepaid rent 75
Payment of dividends 360
Depreciation expense 184
Increase in accounts receivable 530
Increase in accounts payable 160
Gain on sale of land 136
Net income 1,878
Repayment of notes payable 493
Cash received from the sale of land 67
Issuance of common stock 2,440
Required:
1. What is the net cash provided by operating activities?
a. $926 Inflow.
b. $1,198 Inflow.
c. $420 Inflow.
d. $324 Inflow.
2. What is the net cash provided by Investing activities?
a. $2,143 outflow.
b. $2,279 outflow.
c. $1,959 outflow.
d. $2,095 outflow.
3. What is the net cash flow by financing activities?
a. $1,587 Inflow.
b. $1.947 Inflow.
c. $2,080 Inflow.
d. $2,440 Inflow.

Answers

Answer 1

Answer:

1. b. $1,198 Inflow

2. a. $2,143 outflow

3. a. $1,587 Inflow.

Explanation:

Determination of net cash provided by operating activities

                                                          $

Cash flow from Operating Activities

Net income                                                        1,878

Adjust for :

Depreciation expense                                        184

Decrease in inventory                                        253

Increase in prepaid rent                                     (75)

Increase in accounts receivable                      (530)

Increase in accounts payable                            160

Gain on sale of land                                          (136)

Net cash provided by operating activities      1,734

Determination of net cash provided by Investing activities

                                                                   $

Cash flow from Investing Activities

Purchase of equipment                             (2,210)

Cash received from the sale of land              67

Net cash provided by Investing activities (2,143)

Determination of net cash flow by financing activities

                                                                     $

Cash flow from Financing Activities

Payment of dividends                              (360)

Issuance of common stock                    2,440

Repayment of notes payable                  (493)

Net cash flow by financing activities      1,587


Related Questions

Suver Corporation has a standard costing system. The following data are available for June: Actual quantity of direct materials purchased 35,000 pounds Standard price of direct materials $ 8.00 per pound Material price variance $ 7,000 Unfavorable Material quantity variance $ 7,500 Favorable The actual price per pound of direct materials purchased in June was: Multiple Choice $7.76 per pound $8.00 per pound $8.20 per pound $8.24 per pound

Answers

Answer:

$8.20 per pound

Explanation:

The computation of the actual price per pound is shown below:

Material price variance = (Standard price per pound - Actual price per pound) × Actual quantity purchased

-$7,000 = ($8.00 - Actual price per pound) × 35,000

$8.00 - Actual price per pound = -$7,000 ÷ 35,000

Actual price per pound = $8.20 per pound

Hence, the actual price per pound is $8.20 per pound

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Peyton Trust, which is a simple trust, distributed $45,000 to its sole beneficiary, Brooke, in the current year. Further, it had the following items of income and expense for the current year.
Interest income from municipal bonds $10,000
Gross income from rental properties 30,000
Operating expenses for the rental properties 5,000
Trust fees allocable to the rental properties 2,000
What is Peyton's income distribution deduction for the current year?
a. $23,000
b. $33,000
c. $40,000
d. $45,000

Answers

Answer:

b. $33,000

Explanation:

In order to avoid double taxation, trust are allowed to deduct income distributed to its beneficiaries. In this case, the deduction is equal to the lowest of:

net income generated by the trust = $10,000 + $30,000 - $5,000 - $2,000 = $33,000 ⇒ THIS IS LOWERor the net income distributed = $45,000

A job was timed for 60 cycles and had an average of 1.2 minutes per piece. The performance rating was 95 percent, and workday allowances are 10 percent. Determine each of the following:
a) Observed Time
b) Normal Time
c) Standard Time

Answers

Answer and Explanation:

The computation is given below:

a) Observation time is

= Average time

= 1.2 minutes

b) Normal time is

= Observation time × performance rating

= 1.2 minutes × 0.95

= 1.14 minutes

c. The standard time is  

= Normal time × allowance factor

= 1.14 × 1.11

= 1.265 minutes.

The allowance factor is  

= 1 ÷ (1 -  Allowances)

= 1 ÷ (1 - 0.1)

= 1.11

Select the correct answer
What does the term constructed wetlands normally refer to
A natural wetlands that are used for wastewater disposal and treatment
B. wetlandis created for the purpose of environmental research
Cartificially created wetlands that simulate natural wetlands
D. wetlands used for constructing buildings
Reset
Net

Answers

I believe the answer is A

Company A purchases cases of fertilizer for its lawn-care business from a supplier who charges $30 per order and $50 per case. Each case consists of five bags of fertilizer. Company A needs 2,000 bags of fertilizer a year. Company A’s annual holding costs are 30%. If Company A only has room to hold 25 cases of fertilizer, how many cases should Company A order each time to minimize the total holding and ordering cost?

Answers

Answer:

EOQ = √2DS/H

Annual demand = 2000 bags/5 = 400 cases

Order cost = $030

Holding cost = 50*0.30 = $15

EOQ = √2*400*30/15

EOQ = √1600

EOQ = 40

The Economic order quantity = 40. In order to minimize the total cost, the company should order 40 units. However, since Company A only has room to hold 25 cases of fertilizer, therefore, it should order 25 cases each time.

Renn Company acquires land for $56,000 cash. Additional costs are as follows:
Removal of shed $ 300
Filling and grading 1, 500
Salvage value of lumber of shed 120
Broker commission 1, 130
Paving of parking lot 10,000
Closing costs 560
Renn will record the acquisition cost of the land as:____________.
A) $56,000.
B) $57, 690.
C) $59, 610.
D) $59, 370.

Answers

Answer:

D) $59, 370.

Explanation:

Calculation for how much Renn will record the

acquisition cost of the land

Cash$56,000

Removal of shed $ 300

Filling and grading 1, 500

Less Salvage value of lumber of shed (120)

Broker commission 1, 130

Closing costs 560

Acquisition cost of Land $59,370

Therefore Renn will record the acquisition cost of the land as:$59, 370

Farmer Elvin is holding 200 pounds of potatoes in storage for Chef Noble but Chef Noble has breached the contract by failing to pay for the potatoes. The potatoes are beginning to rot. If Farmer Elvin sells the potatoes to a local diner to make potato soup and salad, then this action would be considered: Group of answer choices An attempt to maximize damages Conversion An attempt to realize an unwarranted profit. A reasonable mitigation of damages.

Answers

Answer:

A reasonable mitigation of damages.

Explanation:

Chef Noble breached the contract with farmer Elvin, and therefore, farmer Elvin is entitled to sue chef noble and seek compensatory damages for the money that he might have lost due to this contract breach. But it is reasonable for farmer Elvin to try to lower the damages suffered by selling the potatoes to other clients even if these clients do not pay the normal contract price for the merchandise. In the event of a lawsuit, this action will even benefit chef Noble since the damages will be smaller and the court will probably require him to pay a lower amount of money.

The short-run economic outcome resulting from the increase in production costs is known as . Now suppose that the government immediately pursues an accommodative policy by increasing government purchases in response to the short-run economic impact of the severe weather. In the long run, when the government pursues accommodative policy, the output in the economy will be $ billion and the price level will be .

Answers

Answer:

The short-run economic outcome resulting from the increase in production costs is known as - Stagflation

Stagflation is a situation in which there is high inflation and high unemployment. In Stagflation, aggregate demand is constricted due to the high costs of goods and services because of an increase in firms' production costs.

Now suppose that the government immediately pursues an accommodative policy by increasing government purchases in response to the short-run economic impact of the severe weather. In the long run, when the government pursues accommodative policy, the output in the economy will be $ billion and the price level will be .

If the government pursues an accommodative policy, also known as an expansionary policy, both the output of the economy and the price level will increase in comparison to the previous numbers.

However, hopefully the level of output will increase proportionally more than the price level, because otherwise, the economic growth will be accompanied by high inflation, leading to an overheated and dysfunctional economy.

What examples best demonstrate likely tasks for Distribution and Logistics workers? Check all that apply. Stacy supervises workers who create advertising strategies for a company. Mariano creates a website for providing information about a company’s product. Soledad identifies ways to reduce a company’s storage and shipping costs. Thurman researches the potential customers for a company to find out what they want. Portia supervises workers who ship and store products in a warehouse. Denver analyzes the supply chain for a company’s product.

Answers

Answer:

the real answer is c,e, and f

Explanation:

your welcome america

The best demonstrate likely tasks for Distribution and Logistics worker are a,c, and f.

What is distribution and logistics management?

Distribution and logistics management is a critical company function. It play a key role in fulfilling customer demands, ordering and managing inventory, controlling inbound and outbound shipments, reducing costs, saving time, and meeting company objectives. and vision.

So the correct examples for  Distribution and Logistics workers are:

Portia supervises workers who ship and store products in a warehouse

Soledad identifies ways to reduce a company’s storage and shipping costs. Denver analyzes the supply chain for a company’s product.

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If you restate a quote in your own words but do not cite your source you can be rightfully accused of

Answers

Answer:

correct, you could be accused of plagerism

An asset was purchased for $147,000.00 on January 1, Year 1 and originally estimated to have a useful life of 8 years with a residual value of $8,500.00. At the beginning of the third year, it was determined that the remaining useful life of the asset was only 4 years with a residual value of $3,000.00. Calculate the third-year depreciation expense using the revised amounts and straight line method.

Answers

Answer: $‭27,343.75‬

Explanation:

The original yearly depreciation was ;

= (147,000 - 8,500) / 8

= $‭17,312.5‬0

Value at beginning of Year 3;

= Cost - Accumulated depreciation

= 147,000 - (‭17,312.5‬0 * 2)

= $‭112,375‬

Using the new figures, depreciation per year is now;

= (‭112,375‬ - 3,000) / 4

= $‭27,343.75‬

Management anticipates fixed costs of $74,200 and variable costs equal to 35% of sales. What will pretax income equal if sales are $342,000?
A. $119,700.
B. $148,100.
C. $267,800.
D. $45,500.
E. $183,750.

Answers

Answer:

Pretax profit= $148,100

Explanation:

Giving the following information:

Management anticipates fixed costs of $74,200 and variable costs equal to 35% of sales.

Sales= $342,000

To calculate the pretax profit, we need to use the following formula:

Pretax profit= sales*contribution margin rate - fixed costs

Contribution margin rate= 1 - varaible cost rate

Contribution margin rate= 0.65

Pretax profit= 342,000*0.65 - 74,200

Pretax profit= $148,100

In the market for pickled herring there are two competing producers: Abbas and Taste of Base. Both herring manufacturers have fixed cost worth $880,000 a year and a constant marginal and average variable cost of $3.22 per jar. In the current year, Abbas produced and sold 400,000 jars of herring while Taste of Base produced and sold 222,000 jars. Based on this information, we can expect Abbas' quantity sold to _____________ and its ________ in the future.

Answers

Answer:  increase; average fixed cost to decrease

Explanation:

Abbas produced 400,000 jars which is more than those produced by Taste of Base. With a higher quantity of jars produced, we can expect that they will sell more jars which means that Abbas' quantity sold will increase.

Average fixed cost is calculated by dividing Fixed costs by quantity produced. If Abbas produces more jars as they did, the quantity dividing fixed costs will be more which means that the Average Fixed cost will be less. Simply put, there is less fixed cost per jar, the higher the number of jars produced.

You’re a subcontractor responsible for the re-furbishment of an automobile showroom. The estimated re-furbishment cost is $500 per square foot. The total showroom area that needs to be refurbished is 1,000 square feet. Based on your past experience, you know your team can renovate 100 square feet per week. After 4 weeks, you have 45% of the job completed and you have spent $250,000. Determine the value for each of the terms below:Term ValueBudget At CompletionPlanned ValueEarned ValueActual CostCost VarianceSchedule VarianceCost Performance IndexSchedule Performance IndexEstimate At CompletionEstimate To CompleteVariance At Completion

Answers

Answer:

Explanation:

The Earned Value Analysis for each term can be computed as follows:

Term                                  Acronym                 Formula            Value

Budget At Completion   BAC                =1000×500               500,000

Planned Value                   PV                   =400×500                200,000

Earned Value                     EV                   =500000×0.45        225,000

Actual Cost                      AC                                                         250,000

Cost Variance                 CV                      [tex]=EV - AC[/tex]                -25,000

Schedule Variance         SV                     [tex]=EV - PV[/tex]                   25,000

Cost Performance Index CPI                   [tex]=EV / AC[/tex]                       0.9

Schedule Performance Index SPI           [tex]=EV / PV[/tex]                       1.125

Estimate At Completion EAC                 [tex]=BAC / CPI[/tex]               555,556

Estimate To Complete   ETC                 [tex]=EAC - AC[/tex]               305,556

Variance At Completion VAC                [tex]=BAC - EAC[/tex]             -55,556

Problem 8-2A Record notes payable and notes receivable (LO2)
[The following information applies to the questions displayed below.]
Precision Castparts, a manufacturer of processed engine parts in the automotive and airline industries, borrows $40.6 million cash on October 1, 2015, to provide working capital for anticipated expansion. Precision signs a one-year, 8% promissory note to Midwest Bank under a prearranged short-term line of credit. Interest on the note is payable at maturity. Each firm has a December 31 year-end.
1. Prepare the journal entries on October 1, 2015, to record the issuance of the note.
2. Record the adjustment on December 31, 2015.
3. Prepare the journal entry on September 30, 2016, to record payment of the notes payable at maturity

Answers

Answer:

1. Prepare the journal entries on October 1, 2015, to record the issuance of the note.

Journal entry for Precision Castparts

Dr Cash 40,600,000

    Cr Notes payable 40,600,000

Journal entry for Midwest Bank

Dr Notes receivable 40,600,000

    Cr Cash 40,600,000

2. Record the adjustment on December 31, 2015.

Journal entry for Precision Castparts

Dr Interest expense 812,000

    Cr Interest payable 812,000

Journal entry for Midwest Bank

Dr Interest receivable 812,000

    Cr Interest revenue 812,000

3. Prepare the journal entry on September 30, 2016, to record payment of the notes payable at maturity

Journal entry for Precision Castparts

Dr Notes payable 40,600,000

Dr Interest expense 2,436,000

Dr Interest payable 812,000

    Cr Cash 43,848,000

Journal entry for Midwest Bank

Dr Cash 43,848,000

    Cr Notes receivable 40,600,000

    Cr Interest receivable 812,000

    Cr Interest revenue 2,436,000

Your client wants to open a new QuickBooks Payments merchant
account.

Answers

Answer: a. In the Usage tab of Account and Settings

Explanation:

QuickBooks online is an accounting software that is mostly used by small to medium size businesses. They offer a variety of tools such that even accounting novices can keep proper records.

If one wanted to open a new QuickBooks Payments merchant  account, they should go to the Usage tab of Accounts and Settings where they can then follow the prompts and register the account with the relevant details needed such as name of business. Debit or credit cards can then be added to the account.

Kansas Enterprises purchased equipment for $79,000 on January 1, 2021. The equipment is expected to have a five-year service life, with a residual value of $6,900 at the end of five years. Using the straight-line method, depreciation expense for 2022 and the book value at December 31, 2022, would be: Multiple Choice $14,420 and $50,160. $14,420 and $43,260. $15,800 and $40,500. $15,800 and $47,400.

Answers

Answer:

Annual depreciation= $14,420

Book value= $50,160

Explanation:

Giving the following information:

Purchase price= $79,000

Useful life= 5 years

Salvage value= $6,900

To calculate the depreciation expense, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (79,000 - 6,900) / 5

Annual depreciation= $14,420

Now, the book value:

Book value= purchase price - accumulated depreciation

Book value= 79,000 - (14,420*2)

Book value= $50,160

Scenario:
Suppose that in the competitive market for auto repair, firms prefer to hire men rather than women Assume that the women applying for positions have the same skills, experience, and work ethic as the men. As a result of this discrimination, the demand for women is lower than it otherwise would be.
Refer to Scenario above. If the firms in this market are profit maximizers and customers do not care if a woman or a man works on their car, what will likely happen?

Answers

Answer:

If the firms want to maximize profit and they are price takers, they will eventually start hiring more women. Since the demand for female workers is lower, the price of their labor should also be lower. That means that if a firm wants to maximize its profits, it will need to decrease its costs. A way to decrease a company's costs is to hire cheaper labor.

Concord Corporation sells its product for $50 per unit. During 2019, it produced 60000 units and sold 50000 units (there was no beginning inventory). Costs per unit are: direct materials $9, direct labor $11, and variable overhead $4. Fixed costs are: $720000 manufacturing overhead, and $90000 selling and administrative expenses. The per unit manufacturing cost under absorption costing is $36. $38. $24. $20.

Answers

Answer:

unitary manufacturing cost= $36

Explanation:

The absorption costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.

First, we need to calculate the unitary fixed manufacturing overhead:

unitary fixed manufacturing overhead= 720,000 / 60,000

unitary fixed manufacturing overhead= $12

Now, we can determine the unitary manufacturing cost:

unitary manufacturing cost= 9 + 11 + 4 + 12

unitary manufacturing cost= $36

Apollo Inc. has an unfunded pension liability of $900 million that must be paid in 30 years. If the annual interest rate is 6% compounded semiannually, what is the present value?

Answers

Answer:69420 milliom

Explanation:

Nice

When a cable company is awarded sole possession to franchise in a community, that franchise is now a: Group of answer choices

Answers

Answer:

l think lt can be some problems._

has 17,500 shares of stock outstanding along with $408,000 of interest-bearing debt. The market and book values of the debt are the same. The firm has sales of $697,000 and a profit margin of 6.8 percent. The tax rate is 35 percent, the debt-equity ratio is 40 percent, and the price-earnings ratio is 11.8. The firm has $130,000 of current assets of which $41,200 in cash. What is the enterprise value

Answers

Answer:

$926,073

Explanation:

Enterprise value=market capitalization+value of debt-cash

value of the firm=price-earnings ratio=11.8

earnings=net income

net income=profit margin*sales

net income=$697,000*6.8%=$47,396

11.8=market capitalization/$47,396

market capitalzation=11.8*$47,396=$559,272.80  

enterprise value=$559,272.80+$408,000-$41,200=$ 926,072.80  (approx  $926,073)

40
Maria makes hand-crafted jewelry. Lately the demand for her items has
increased. She currently has them on consignment in a shop, but wants to
have them placed in multiple stores. To do this she needs one central place to
hold a high volume of her jewelry so that retailers can purchase her jewelry in
large numbers. Which channel member should she use for this step?
A. Supplier
B. Producer
C. Consumer
D. Wholesaler

Answers

Answer:

D.) Wholesaler

Explanation:

Just took this test, and got this answer correct.

The channel member that should be used by Maria to satisfy the increasing demand  is wholesaler. Hence, Option D is correct.

What is the meaning of wholesaler?

A wholesaler serves as a middleman or intermediary in the supply chain. The most typical example of a wholesaler is a business that buys finished goods from manufacturers and distributes them to retailers, who then sell more of the goods to consumers in smaller quantities.

Jewelry created by Maria is handmade. Her products are more in demand nowadays. She has them on consignment in a store for now, but she wants to have them distributed to several shops.

In order for merchants to buy her jewellery in large quantities, she needs a single, central location to store a lot of it. Maria needs to use wholesalers as a channel partner to meet the rising demand.

Therefore, option D is correct.

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Sue invested $5,000 in the ABC Limited Partnership and received a 10 percent interest in the partnership. The partnership had $20,000 of debt she is not responsible to repay because she is a limited partner. Sue is allocated a 10 percent share of the debt resulting in a tax basis of $7,000 and an at-risk amount of $5,000. During the year, ABC LP generated a ($70,000) loss. How much of Sue's loss is disallowed due to her tax basis or at-risk amount

Answers

Answer:

$2,000

Explanation:

Calculation for How much of the Sue's loss is disallowed due to her tax basis or at-risk amount

Based on the information given we were told that that Sue is been allocated a 10% of the debt which resulted in a tax basis of the amount of $7,000 as well as an at-risk amount of $5,000 which means that the amount that the Sue's loss will be disallowed due to her tax basis Amount or at-risk amount will be calculated as :

Using this formula

Disallowed Sue's loss=Tax basis-At-risk amount

Let plug in the formula

Disallowed Sue's loss=$7,000-$5,000

Disallowed Sue's loss=$2,000

Therefore How much of the Sue's loss is disallowed due to her tax basis or at-risk amount will be $2,000

In a master schedule, the planning horizon is often separated into a series of time periods called:
a. lead times
b. stacked lead times
c. time buckets
d. firm, fixed, and frozen

Answers

Answer: time buckets

Explanation:

In a master schedule, the planning horizon is often separated into a series of time periods called time buckets.

The time bucket is simply a time interval that is used for planning and scheduling. If and information is to be broken into weekly periods, the weekly buckets break will be utilized. It should be noted that for a MRP, the maximum is the weekly buckets.

Sonic Inc. manufactures two models of speakers, Rumble and Thunder. Based on the following production and sales data for June, prepare (a) a sales budget and (b) a production budget: Rumble Thunder Estimated inventory (units), June 1 266 78 Desired inventory (units), June 30 306 68 Expected sales volume (units): Midwest Region 3,450 3,050 South Region 5,300 6,000 Unit sales price $100 $185 a. Prepare a sales budget.

Answers

Answer:

a. Sales budget

Product and Area         Unit Sales Volume    Unit Selling Price        Total

Model Rumble:

Midwest Region                      3,450                            100              $345,000

South Region                          5,300                            100              $530,000

Total                                                                                                   $875,000

Model Thunder

Midwest Region                      3,050                            185              $‭564,250‬

South Region                          6,000                            185              $‭1,110,000‬

Total                                                                                                   $‭1,674,250‬

Total Revenue from sales                                                                $‭2,549,250‬

b. Production budget

                                                Units Model Rumble       Units Model Thunder

Expected units to be sold                ‭8,750‬                                 ‭9,050‬

Total Units Required                        ‭9,056‬                                 9,118

Total Units to be Produced              ‭8,790‬                                 ‭9,040‬

Expected units Rumble = 3,450 + 5,300 = 8,750

Expected units Thunder = 3,050 + 6,000 = 9,050

Total Units required Rumble = 8,750 + 306 (desired inventory) = 9,056

Total Units required Thunder = 9,050 + 68 (desired inventory) = 9,118

Total units to be produced Rumble = 9,056 - 266(opening inventory)= 8,790

Total units to be produced Thunder = 9,118 - 78 (opening inventory) = 9,040

On January 1, Balanger Company buys 10 percent of the outstanding shares of its parent, Altgeld, Inc. Although the total book and fair values of Altgeld's net assets equaled $3.2 million, the price paid for these shares was $340,000. During the year, Altgeld reported $415,000 of separate operating income (no subsidiary income was included) and declared dividends of $35,000. How are the shares of the parent owned by the subsidiary reported at December 31

Answers

Answer: a. Consolidated stockholders’ equity is reduced by $340,000.

Explanation:

Consolidated stockholders' equity is the equity owned by stockholders in the entire parent company of Altgeld and its subsidiaries. Balanger as a company, then buys some of its parent's stock for $340,000.

The effect this will have is to reduce the stock available to stockholders in the parent and the subsidiaries almost like buying treasury shares. Consolidated stockholders' equity will therefore reduce by the amount paid for the shares of $340,000.  

On June​ 30, Company issues ​, ​-year bonds payable with at face value of . The bonds are issued at face value and pay interest on June 30 and December 31. Requirements 1. Journalize the issuance of the bonds on June 30. 2. Journalize the semiannual interest payment on December 31. Requirement 1. Journalize the issuance of the bonds on June 30. ​(Record debits​ first, then credits. Select explanations on the last line of the journal​ entry.)

Answers

Answer:

1. Dr Cash​ $ 98,000

Dr Discount on Bonds Payable​ $2,000

Cr Bonds payable $100,000

2. Dr Interest Expense​ $ 4,050

Cr Discount on Bonds Payable​ $50

Cr Cash​ $4,000

Explanation:

1. Preparation of the journal entry for the issuance of the bonds on June 30

Dr Cash​ $ 98,000

( $ 100,000 x 0.98 ​)

Dr Discount on Bonds Payable​ $2,000

($100,000 ​- ​$98,000) ​

Cr Bonds payable $100,000

2. Preparation of the Journal entry to record the semiannual interest payment

Dr Interest Expense​ $ 4,050

($4,000 ​+ ​$50 ​)

Cr Discount on Bonds Payable​ $50

( $2,000 x​ 1/40 )

Cr Cash​ $4,000

($ 100,000 x 8​% x​ 6/12 )

One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest. If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.

Answers

360° = $250

? =.$120

120×360= 43200

43200÷250

=172.8°

You are planning to save for retirement over the next 25 years. To do this, you will invest $820 per month in a stock account and $420 per month in a bond account. The return of the stock account is expected to be 10.2 percent, and the bond account will pay 6.2 percent. When you retire, you will combine your money into an account with a return of 7.2 percent. How much can you withdraw each month from your account assuming a 20-year withdrawal period

Answers

Answer:

$10,460

Explanation:

You will contribute 25 x 12 = 300 monthly payments to your savings accounts.  In order to determine their future value, we must first determine the effective interest rates:

stock account = 1.102 = (1 + r)¹²

¹²√1.102 = ¹²√(1 + r)¹²1.008127 = 1 + rr = 0.008127 = 0.81% monthly rate

bond account = 1.102 = (1 + r)¹²

¹²√1.062 = ¹²√(1 + r)¹²1.0050 = 1 + rr = 0.005 = 0.5% monthly rate

In 25 years, you will have:

stock account = $820 x 1,265.21433 (PV annuity factor, 0.81%, 300 periods) = $1,037,475.75bond account = $420 x 692.99396 (PV annuity factor, 0.5%, 300 periods) = $291,057.46total = $1,328,533.21

using the payout annuity formula:

P₀ = [d (1 - (1 + r/x)⁻ⁿˣ)] / (r/x)

P₀ = $1,328,533.21d = monthly withdrawal = ? r = annual interest rate = 0.072 x = number of compounding periods = 12n = number of years = 20

$1,328,533.21 = [d (1 - (1 + 0.072/12)⁻²⁴⁰)] / (0.072/12)

$7,971.20 = d (1 - 0.23795)

$7,971.20 = d (0.762)

d = $7,971.20 / 0.762 = $10,460

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