Jack and Jill need to save $6100 toward a new car. How long will it take them if they save $200 a month earning interest at 4.7% per year

Answers

Answer 1

Answer:

2 years 5 months.

Explanation:

Use the Time Value of Money techniques to find n (period it takes to save for required amount)

Using a financial calculator enter the following data

Fv = $6,100

Pmt = - $ 200 × 12 = - $2,400

P/y = 1

r =  4.7 %

Pv = 0

n = 2.4569

Thus it takes 2 years 5 months to save $6100 toward a new car under the given circumstances.


Related Questions

The crowding-out effect refers to the possibility that:

a. a deficit, financed by borrowing in the capital markets, will increase the interest rate and reduce investment in the private sector.
b. an increase in the supply of money will induce a decline in real spending.
c. when used simultaneously, expansionary fiscal and monetary policies are counter-productive.
d. the speculative demand for money varies inversely with the interest rate.

Answers

Answer:

a. a deficit, financed by borrowing in the capital markets, will increase the interest rate and reduce investment in the private sector.

Explanation:

Crowding out effect is when government borrowing from the capital markets leads to an increase in interest rate. this makes it more expensive for private sector to borrow and this reduces investment by private sector

g Profit maximazation for a monopolist and a perfect competitor occurs where marginal revenue equals marginal cost. At this​ profit-maximizing output, the monopolist will charge a price​ ________ marginal revenue and a perfect competitor will charge a price​ ________ marginal revenue.

Answers

Answer: Higher than; Equal to

Explanation:

Profit maximazation for a monopolist and a perfect competitor occurs where marginal revenue equals marginal cost.

The Marginal Revenue curves are different for either of them though and this impacts what price they sell at. This is because the price the good will be sold at depends on where the maximising output touches the demand curve.

The Monopolist has a Marginal Revenue curve that is lower than the Demand Curve. Therefore the point where Marginal Revenue and Marginal Cost intersect, will not be on the demand curve but lower than it. The price charged will therefore be the point where the maximising output touches the Demand Curve.

The Perfectly Competitive Firm however is in a market where Price is equal to the Demand curve and equal to the Marginal Revenue curve as well. The point where the Marginal Cost intersects with Marginal Revenue will also be the point where the maximising output touches the Demand curve so the price will be the same as the Marginal Revenue.

g The aggregate supply curve shifts A. rightward if the money wage rate falls. B. leftward if the aggregate demand curve shifts leftward. C. rightward if potential GDP decreases. D. leftward if potential GDP increases. E. rightward if the money wage rate rises.

Answers

Answer:

The correct option to the question above is option A "rightward if the money wage rate falls."

Explanation:

The aggregate supply curve is a graphical illustration of how the total quantity of goods and services is available for a given price and time.

When the aggregate supply curve shifts to the right, it increases. While, when the aggregate supply curve shifts to the left, it decreases.

An increase in the aggregate supply curve shows a fall in price, which makes a high price level resulting in a greater supply of real GDP.

Money wages is the amount of money paid in wages. Money wages is indirectly proportional to real wages. The aggregate supply curve decreases if the money wage rate increases and the aggregate supply curve increases when the money wage rate falls.

Aggregate supply is affected by GDP. When A GDP decreases, it also decreases aggregate supply.

Sudoku Company issues 7,000 shares of $7 par value common stock in exchange for land and a building. The land is valued at $45,000 and the building at $85,000. Prepare the journal entry to record issuance of the stock in exchange for the land and building.

Answers

Answer:

The journal entry to record this exchange is :

Land  $45,000 (debit)

Buildings $85,000 (debit)

Common Stocks $49,000 (credit)

Share Premium $81,000 (credit)

Explanation:

The price of Common Stock is equivalent to the price required to settle the Market Cost of Land and Buildings.

Also note that the Common Stocks have a par vale of $7, this means that any amount paid in excess of the par value is accounted in the Share Premium Reserve.

The journal entry to record this exchange is :

Land  $45,000 (debit)

Buildings $85,000 (debit)

Common Stocks $49,000 (credit)

Share Premium $81,000 (credit)

The journal entry for recording the issuance of the stock for exchange for the land and building:

Land $45,000  

Building $85,000  

          To Common stock $49,000 (7,000 shares × $7)

          To Premium on issue of common stock  81,000

(Being recording of the  issuance of the stock in exchange for the land and building)

Learn more: brainly.com/question/17429689

On January 1, 2014, Pert Company purchased 85% of the outstanding common stock of Sales Company for $350,000. On that date. Sales Company's stockholders' equity consisted of common stock, $100,000; other contributed capital, $40,000; and retained earnings, $140,000. Pert Company paid more than the book value of net assets acquired because the recorded cost of Sales Company's land was significantly less than its fair value.
During 2014 Sales Company earned $148,000 and declared and paid a $50,000 dividend. Pert Company used the partial equity method to record its investment in Sales Company.
Required:
1. Prepare the investment-related entries on Pert Company's books for 2014.
2. Prepare the working paper eliminating entries for a working paper on December 31, 2014.

Answers

Answer and Explanation:

The journal entries are shown below:

a. For investment related entries

Investment in sales Dr $350,000

          To cash $350,000

(being the investment is recorded)

Investment in sales Dr ($148,000 × 85%) $125,800

          To Subsidiary income $125,800

(Being the investment in sales is recorded)

Cash Dr $42,500

      To Dividend income $42,500

(Being the dividend income is recorded)

b. For work paper eliminating entries

Equity income ($148,000 × 85%) $125,800

      To Dividend $42,500

      To investment in sales $83,300

(Being the equity income is recorded)

Common stock Dr $100,000

Other contributed capital Dr $40,000

Retained earnings Dr $140,000

Difference between implied and book value Dr $131,765 (Bal figure)

          To Investment in S Company $350,000

          To Non controlling interest $61,765  ($350,000 ÷ 0.85 × 0.15)

(Being the consolidated items are recorded)

Land Dr $131,765

         To Difference between implied and book value Dr $131,765

(Being the land is recorded)

Working note:

Particulars         Parent share    Non-conrolling interest   Total value

Purchase price

& implied value  $350,000       $61,765                            $411,765

Less:

Book value          -$238,000    -$42,000                          -$280,000

Difference

amount                $112,000          $19,765                           $131,765

Less:

Land value           -$112,000        -$19,765                         -$131,765

Balance                 $0                    $0                                  $0                    

When a country produces on its production possibilities curve, then this country's unemployment is expected to be at one of its lowest rates, however, prices in this country are not expected to be relatively low.

a. True
b. False

Answers

Answer:

TRUE

Explanation:

the production possibility curve shoes the number of goods that can be produced in an economy when its resources are fully employed.

if a country produces on its production possibilities curve, it means that its resources are fully employed and so unemployment would be at its lowest.

A 30 year $1,000 par 4 3/4% Treasury Bond is quoted at 95-11 - 95-15. The note pays interest on Jan 1st and Jul 1st. A customer buys 1 bond at the ask price. What is the current yield, disregarding commissions

Answers

Answer:

4.98%

Explanation:

Calculation for the current yield

First step

Since the the bond was purchased at 95 +15/32nds this means that we have to find the bond percentage.

Calculated as

Bond Percentage = 95 + 15/32nds

Bond percentage =95.46875%

Second step is to multiply the bond percentage by $1,000

95.46875% *$1,000

= $954.6875

The last step is to find the current yield

Current yield=$47.50 /$954.6875

Current yield = 4.98%

Therefore the current yield will be 4.98%

Ivanhoe provides environmentally friendly lawn services for homeowners. Its operating costs are as follows. Depreciation $1,500 per month Advertising $350 per month Insurance $2,770 per month Weed and feed materials $17 per lawn Direct labor $9 per lawn Fuel $2 per lawn Ivanhoe charges $70 per treatment for the average single-family lawn. Correct answer. Your answer is correct. Determine the company’s break-even point in number of lawns serviced per month. Break-even point Entry field with correct answer 110 lawns LINK TO TEXT LINK TO TEXT Incorrect answer. Your answer is incorrect. Try again. Determine the company’s break-even point in dollars.

Answers

Answer:

Explanation:

To start with, we need to get the value for total fixed cost and total variable cost

Total fixed costs = Depreciation + Advertising + Insurance

= $1,500 + $350 + $2,770

= $4,620

Total variable costs per unit = Weed and feed materials + Direct labor + Lawn Fuel

= $17 + $9 + $2

= $28 per lawn

We also need to compute the contribution margin ratio

= Sales per unit - Variable cost per unit / Sales per unit

= (70 - 28) / 70

= 0.6

= 60%

Therefore;

1. Break even sales

Campbell Corporation uses the retail method to value its inventory. The following information is available for the year 2021: Cost Retail Merchandise inventory, January 1, 2021 $ 250,000 $ 286,000 Purchases 672,000 888,000 Freight-in 14,000 Net markups 26,000 Net markdowns 4,500 Net sales 860,000 Required: Determine the December 31, 2021, inventory by applying the conventional retail method using the information provided

Answers

Answer:

261,690

Explanation:

The computation of inventory is shown below:-

Particulars                        Cost         Retail           Cost-to-Retail Ratio

Beginning inventory   $250,000    $286,000  

Add Purchases            $672,000   $888,000  

Freight-in                      $14,000

Net markup                                      $26,000  

Total                              $936,000   $1,200,000

Less: Net markdowns                       $4,500

Goods available for sale                   $1,195,000  

Cost-to-retail percentage                  0.78 (in working note)

Less: Net sales                                  $860,000

Retail Estimated ending

inventory                                            $335,500  ($1,195,000 - $860,000)

At cost Estimated ending

inventory                           $261,690

Cost-to-retail percentage is

= 936,000 ÷ 1,200,000

= 0.78

Estimated ending inventory at cost is

335,500 × 0.78

= 261,690

calculate the net present value of a business deal that cost $2500 today and will return $1500 at the end of this year. use interest rate of 13%

Answers

Answer:

NPV= -$1,172.57

Explanation:

Giving the following information:

Initial investment= $2,500

Cash flow= $1,500

Discount rate= 13%

To calculate the net present value (NPV), we need to use the following formula:

NPV= -Io + ∑[Cf/(1+i)^n]

NPV= -2,500 + (1,500/1.13)

NPV= -1,172.57

Galvatron Metals has a bond outstanding with a coupon rate of 6.1 percent and semiannual payments. The bond currently sells for $947 and matures in 23 years. The par value is $1,000 and the company's tax rate is 40 percent. What is the company's aftertax cost of debt

Answers

The price would be 0000100

BBQ Corporation has a target capital structure that is 70 percent equity, 30 percent debt. The flotation costs for equity issues are 15 percent of the amount raised; the flotation costs for debt are 8 percent. If BBQ needs $150 million for a new manufacturing facility, what is the cost when flotation costs are considered

Answers

Answer:

$172,215,844 is the cost when flotation costs are considered

Explanation:

flotation

Weighted average flotation cost = {(Flotation cost debt * Weight debt) + (Flotation cost equity * Weight equity)

= (8% * 0.30) + (15%  * 0.70)

=0.024 + 0.105

= 0.129

= 12.9%

Calculation of the cost of funds

Cost of funds = Amount raised / (1 - Weighted average floatation cost)

= $150,000,000 / (1-0.129)

= $150,000,000 / (0.871)

=$172,215,844

Therefore, the cost of raising fund is $172,215,844

Sarah, the controller of a large beverage supplier, supervises two employees. Her boss, Vladimir, instructs her to increase the company's inventory balance for an amount that is material to the financial statements by crediting several small "miscellaneous" expense accounts. She does not understand why he wants her to make these entries but immediately directs one of her staff to make them because she has been instructed to do so. Which of the following statements best describes Sarah's actions?

Answers

Answer:

Sarah failed to evaluate a potential ethical issue

Explanation:

According to the given scenario, Ethical concerns occur as workers face pressure from their employers to inflate profits or expenditures that include manipulating financial statements. Workers should be morally responsible and not participate in any dishonest behavior that modify the financial statements.

So, the correct answer is Sarah failed to evaluate a potential ethical issue .

Suppose that the quantity of apples sold increases by 30 percent after the price of pears increases by 15 percent. What is the coefficient of cross elasticity of demand

Answers

45, should be the right answer

Consider the market for meekers in the imaginary economy of Meekertown. In the absence of international trade, the domestic price of a meeker is $23. Suppose that the world price for a meeker is $24. Assume that Meekertown is too small to influence the world price for meekers once they enter meeker the international market. If Meekertown allows free trade, then it will _______________ meeker.
When a country is too small affect the world price, allowing for free trade will always increase total surplus in that country, regardless of whether it imports or exports as a result of international trade.
a. True
b. False

Answers

Answer:

Export

true

Explanation:

Because the price of meekers in meekertown is lower than the world price for meekers, meekers from meekertown are cheaper. so if free trade is allowed, other countries would want to purchase meekers from meekertown because it is cheaper.

So, meekertown would export meekers if free trade is allowed.

When a country is too small affect the world price, allowing for free trade will always increase total surplus in that country, regardless of whether it imports or exports as a result of international trade.

this is so because if the country is efficient in production of a good (producing at a lower price when compared to the world price), export of the good would increase thus increasing producer surplus. if on the other hand, the country is inefficient in producing a good and the country allows for free trade, the country can import the good. this would increase consumer surplus.

A large open economy has desired national saving of Sd = 1200 + 1000rw, and desired national investment of Id = 1000 - 500rw. The foreign economy has desired national saving of = 1300 + 1000rw, and desired national investment of = 1800 - 500rw. The equilibrium world real interest rate equal to:________.

Answers

Answer: 10%

Explanation:

The Equilibrium real interest rate would be the interest rate that equates the Desired savings to the desired investment for both the National and foreign economy.

Desired national saving + Foreign desired national saving = Desired national investment + Foreign desired national investment

1,200 + 1,000rw + 1,300 + 1,000rw = (1,000 - 500rw) + (1,800 - 500rw)

2,500 + 2,000rw = 2,800 - 1,000rw

2,000rw + 1,000rw = 2,800 - 2,500

3,000rw = 300

rw = 0.1

rw = 10%

Use the following information for Jett Co. to answer the following question: 2015 2014 Sales 1,200 1,000 COGS 850 700 Operating Expenses 200 200 Income Taxes 30 35 Jett Co.'s average tax rates for 2015 and 2014 are: A. 15.5% and 10.0% B. 20.0% and 35.0% C. 25.8% and 35.4%. D. 31.4% and 36.8%.

Answers

Answer:

B. 20.0% and 35.0%

Explanation:

Jett Co.'s Average tax rates for 2015 = Income taxes paid / Taxable income

When, Taxable Income = Sales - Cost of goods sold - Operating expenses

= $1,200 - $850 - $200

= $150

Hence, Jett Co.'s Average tax rates for 2015 = $30 / $150

= 20%

Jett Co.'s Average tax rates for 2014 = Income taxes paid / Taxable income

When Taxable Income = Sales - Cost of goods sold - Operating expenses

= $1,000 - $700 - $200

= $100

Hence,  Jett Co.'s Average tax rates for 2014 = $35 / $100

= 35%

To reduce product development time, Caterpillar connected its engineering and manufacturing divisions with its active suppliers, distributors, overseas factories, and customers, through ________.

Answers

Answer: an extranet

Explanation:

An extranet is a private network that is controlled that gives access to vendors, suppliers, partners, vendors or a group of customers that are authorized.

Therefore, to reduce product development time, Caterpillar connected its engineering and manufacturing divisions with its active suppliers, distributors, overseas factories, and customers, through an extranet.

Consider a fast food café of your choice. Apply 4 V’s of Operation. Describe each V as ‘High’, ‘Low’ or ‘Moderate’ with one liner reason.

Answers

Answer:

4 V's of Operation

The 4 V's of operation are Volume, Variety, Variation, and Visibility.  Let us take Mrs. Happy Food Cafe with over 100 outlets in Fiacton Town, as an example to illustrate the 4 V's of operation.

Volume: As a food cafe, the volume of production that will be required for some foods and drinks is so high that their provision requires repetitive tasks.  Based on this, procedures are normally standardized in order to achieve low cost for foods and drinks.  However, it is harder to standardize services, since personal touches are added by the servers based on their individual perceptions and abilities.

Variety: Mrs. Happy Food Cafe tries to bring some variety in her offerings to satisfy the various needs of her customers.  While variety is naturally low in the Food Cafe sector, some cafes like Mrs. Happy Good Cafe, try to satisfy customers' demands by varying the foods with Continental, African, Latino cuisines and dishes.

Variation: At Mrs Happy Food cafes, the food and drinks do not vary much as customers expect to be served the same quality of services at any of their cafes.  This is because the processes are standardized to achieve low cost.  So, the variation is moderate.

Visibility: Customers of Mrs Happy Food cafes are not able to see and track their experiences of the the processes for the food preparation that they order.   But, they can track the processes for the services because services are consumed as they are offered.  So, visibility is 'Moderate," as it is divided between the hard goods and the soft goods.  With respect to goods visibility is 'Low.'  However, with respect to the services the customers' visibility of processes is high.

Explanation:

The 4 V's of operation describe the different characteristics of the processes that various entities use to transform their inputs into outputs of goods and services.  They may be high, low, or moderate.  They include, volume, variety, variation, and visibility.

Schedule of Cash Collections of Accounts Receivable OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that 30% of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, 25% pay their accounts in the month of sale, while the remaining 75% pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows: October $133,000 November 166,000 December 243,000 The Accounts Receivable balance on September 30 was $89,000. Prepare a schedule of cash collections from sales for October, November, and December. Round all calculations to the nearest whole dollar.

Answers

Answer:

Instructions are below.

Explanation:

Giving the following information:

Sales:

30% on cash

70% on account

Sales on account:

25% in the month of the sale

75% in the following month

October $133,000

November 166,000

December 243,000

The Accounts Receivable balance on September 30 was $89,000.

Cash collection October:

Sales on cash= 133,000*0.30= 39,900

Sales on account from October= (133,000*0.7)*0.25= 23,275

Sales on account September= 89,000

Total cash collection= $152,175

Cash collection November:

Sales on cash= 166,000*0.30= 49,800

Sales on account from October= (166,000*0.7)*0.25= 29,050

Sales on account October= (133,000*0.7)*0.75= 69,825

Total cash collection= $148,675

Cash collection December:

Sales on cash= 243,000*0.30= 72,900

Sales on account from October= (243,000*0.7)*0.25= 42,525

Sales on account October= (166,000*0.7)*0.75= 87,150

Total cash collection= $202,575

The online retailer Lands' End communicates a remarkable commitment to its ________ with these unconditional words: "We accept any return, for any reason. Guaranteed Period."

Answers

Answer:

Customers

Explanation:

By making such statements the online retailer is trying to build trust with customers. And to satisfy their purchase experience about the value they will derive from the product. It is a good marketing strategy employed by some businesses today.

Iris, a calendar year cash basis taxpayer, owns and operates several TV rental outlets in Florida and wants to expand to other states. During 2019, she spends $14,000 to investigate TV rental stores in South Carolina and $9,000 to investigate TV rental stores in Georgia. She acquires the South Carolina operations but not the outlets in Georgia. As to these expenses, Iris should: a.Expense $9,000 for 2019 and capitalize $14,000. b.Expense $23,000 for 2019. c.Capitalize $23,000. d.Capitalize $14,000 and not deduct $9,000. e.None of these choices are correct.

Answers

Answer:

b.Expense $23,000 for 2019.

Explanation:

The computation is shown below:

= Spend in the investigation for the TV rental stores in South Carolina + Spend in the investigation for the TV rental stores in Georgia

= $14,000 + $9,000

= $23,000

Hence, the amount of expense $23.000  would be considered

Therefore the option b is correct  

Bogart Company is considering two alternatives. Alternative A will have revenues of $147,400 and costs of $103,400. Alternative B will have revenues of $188,200 and costs of $121,600. Compare Alternative A to Alternative B showing incremental revenues, costs, and net income.

Answers

Answer:

B is better than A

Explanation:

Here, we want to compare “A” to “B”. It means if B’s amount is higher than A’s amount, it should be positive; If B’s amount is lower than A’s amount, it should be negative.

Net income for each alternative = Revenues – Costs

Since the net income is positive, B is better than A.

Please check attachment for for actual tabular calculations

A company earned $7,605 in net income for October. Its net sales for October were $19,500. Its profit margin is:

Answers

Answer: 39%

Explanation:

From the question, we are informed that company earned $7,605 in net income for October and that its net sales for October were $19,500.

To calculate its profit margin, we have to divide the net income by the net sales. This will be:

= 7605/19500

= 0.39

= 39%

The balanced scorecard approach relies not only on financial performance measures, but includes customers, internal business processes, and organizational learning and growth.
a. True
b. False

Answers

Answer:

Explain: false

Sager Industries is considering an investment in equipment that will replace direct labor. The equipment has a cost of $86,000 with a $7,000 residual value and a 10-year life. The equipment will replace three employees who has an average total wages of $15,810 per year. In addition, the equipment will have operating and energy costs of $4,190 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment.

Answers

Answer:

130.77%

Explanation:

depreciation expense per year using straight method = (purchase cost - salvage value) / useful life = ($86,000 - $7,000) / 10 = $7,900

total costs = depreciation expense + operating and energy costs = $7,900 + $4,190 = $12,090

average rate of return = total savings / total costs = $15,810 / $12,090 = 1.30769 = 130.77%

g The Fed makes an open market operation purchase of​ $200,000. The currency drain ratio is 33.33 percent and the desired reserve ratio is 10 percent. By how much does the quantity of money​ increase?

Answers

Answer: $618,000

Explanation:

From the question, we are informed that the Fed makes an open market operation purchase of​ $200,000 and that the currency drain ratio is 33.33 percent and the desired reserve ratio is 10 percent.

We first have to calculate the money multiplier which will be:

= (1 + the currency drain ratio)/( the currency drain ratio + the reserve ratio)

= (1 + 33.33%)/(33.33% + 10%)

= ( 1 + 0.33)/(0.33 + 0.1)

= 1.33/0.43

= 3.09

The quantity of money​ increase will be:

= 3.09 × $200,000

= $618,000

A​ monopoly's cost function is CQ and its the demand for its product is pQ where Q is​ output, p is​ price, and C is the total cost of production. Determine the profit-maximizingLOADING... price and output for a monopoly.

Answers

Answer:

The answer is "70 units".

Explanation:

In the given question some equation is missing which can be defined as follows:

[tex]C = 1.5Q^2+40Q\\\\P=320-0.5Q[/tex]  

Monopolistic functions are used where Marginal Profit = Marginal Cost where marginal revenue and marginal cost stand for the MR and  MC.

Finding the value of MR :

[tex]\ MR = \frac{\partial TR}{\partial Q} \\\\[/tex]

       [tex]= \frac{\partial PQ}{\partial Q} \\\\= \frac{\partial (320-0.5Q)Q}{\partial Q}[/tex]

       [tex]= \frac{\partial (320Q -0.5Q^2)}{\partial Q}\\\\ = \frac{\partial Q (320 -0.5Q)}{\partial Q}\\\\ \ by \ solving \ we \ get \\\\ = 320 - Q...(1)[/tex]

Calculating the value of the MC:

[tex]MC = \frac{\partial TC}{\partial Q} \\[/tex]

        [tex]=\frac{\partial (1.5Q^2 + 40Q)}{\partial Q} \\\\=\frac{\partial Q (1.5Q + 40)}{\partial Q}\\\\ \ by \ solve \ value \\\\ = 3Q + 40....(2)[/tex]

compare the above equation (i) and (ii):

[tex]\to 320 -Q = 3Q+40\\\\\to 320 -40 = 3Q+ Q\\\\\to 280 = 4Q\\\\\to 4Q =280 \\\\\to Q= \frac{280}{4}\\\\\to Q= 70 \\[/tex]

On January 1, 2016, the Excel Delivery Company purchased a delivery van for $33,000. At the end of its five-year service life, it is estimated that the van will be worth $3,000. During the five-year period, the company expects to drive the van 100,000 miles.
Required:
Calculate annual depreciation for the five-year life of the van using each of the following methods. (Do not round intermediate calculations.)
1. Straight line
2. Sum of the years digits
3. Double declining balance
4, Units of production using miles driven as a measure of output and the following actual mileage:
Year Miles
2016 22,000
2017 24,000
2018 15,000
2019 20,000
2020 21,000

Answers

Answer:

1. Straight line

years 2016 to 2020 = $6,000

2. Sum of the years digits

2016 = $10,000

2017 = $8,000

2018 = $6,000

2019 = $4,000

2020 = $2,000

3. Double declining balance

2016 = $13,200

2017 = $7,920

2018 = $4,752

2019 = $2,852

2020 = $1,276

4, Units of production using miles driven

2016 = $6,600

2017 = $7,200

2018 = $4,500

2019 = $6,000

2020 = $5,700

Explanation:

purchase cost $33,000

useful life 5 years, salvage value $3,000

expected use 100,000 miles

1. Straight line

($33,000 - $3,000) / 5 = $6,000

2. Sum of the years digits

year 1 = 5/15 x $30,000 = $10,000

year 2 = 4/15 x $30,000 = $8,000

year 3 = 3/15 x $30,000 = $6,000

year 4 = 2/15 x $30,000 = $4,000

year 5 = 1/15 x $30,000 = $2,000

3. Double declining balance

year 1 = 2 x 1/5 x $33,000 = $13,200

year 2 = 2 x 1/5 x $19,800 = $7,920

year 3 = 2 x 1/5 x $11,880 = $4,752

year 4 = 2 x 1/5 x $7,128 = $2,851.20 ≈ $2,852

year 5 = $4,276 - $3,000 = $1,276

4, Units of production using miles driven

depreciation expense per mile = ($33,000 - $3,000) / 100,000 = $0.30

Year Miles

2016 22,000  x $0.30 = $6,600

2017 24,000   x $0.30 = $7,200

2018 15,000   x $0.30 = $4,500

2019 20,000   x $0.30 = $6,000

2020 (21,000  - 2,000) x $0.30 = $5,700

A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.
a. Calculate the Cp of the process. (Round your answer to 3 decimal places.)
Cp =
b. Calculate the Cpk of the process. (Round your answer to 3 decimal places.)
Cpk =

Answers

Answer:

A) 1.111

B) 0.889

Explanation:

given data :

outer diameter of connecting rods = 1 ± 0.01 inch

sample mean outer diameter = 1.002 inches

standard deviation = 0.003 inches

A) Calculating the Cp of the process

mean = 1.002

Standard deviation = 0.003

LSL = 1 - 0.01 = 0.99

USL = 1 + 0.01 = 1.01

[tex]Cp = \frac{USL - LSL}{6 * STANDARD DEVIATION}[/tex] =  [tex]\frac{1.01-0.99}{6*0.003}[/tex] = 1.111

B) calculate Cpk

mean = 1.002, LSL = 0.99, USL = 1.01 , deviation = 0.003

[tex]Cpk = min[\frac{mean-LSL}{3* deviation} , \frac{USL- mean}{3*deviation} ][/tex]

       = min [(0.012/0.009) , (0.008/0.009) ]

       = min [ 1.333, 0.889 ]

hence Cpk = 0.889

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