Which mathematical sentence most accurately expresses the information inthe problem below?
Crystal has 121 compact discs that she wants to put into boxes. Each of the
boxes that she brought home holds 25 discs. How many of these boxes will
she need for all of her discs?

Answers

Answer 1
Answer:

The mathematical sentence that can represent most accurately the calculation that Crystal wants to perform is;

121 compact discs / 25 discs per box = 4.84 boxes

Rounded up to 5 boxes.

What is an Equation?

An equation is the mathematical sentence that represents the calculation that needs to be performed, the equation completely explains the problem and then gradually it is solved step by step.

In the case Crystal wanted to set 121 discs in boxes with a capacity of 25 discs, so simply 121 discs are divided by the number of discs a box can hold, which results in the number of boxes needed which is Five.

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Head-First Company had planned to sell 5,000 bicycle helmets at $75 each in the coming year. Unit variable cost is $45 (includes direct materials, direct labor, variable factory overhead, and variable selling expense). Total fixed cost equals $49,500 (includes fixed factory overhead and fixed selling and administrative expense). Operating income at 5,000 units sold is $100,500. The degree of operating leverage is 1.5. Now Head-First expects to increase sales by 10% next year.Required:


1. Calculate the percent change in operating income expected.___ %


2. Calculate the operating income expected next year using the percent change in operating income calculated in Requirement 1. $___

Answers

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

Sales= 5,000 units

Selling price= $75

The unit variable cost= $45

Total fixed cost equals= $49,500

Operating income at 5,000 units sold is $100,500.

Degree of operating leverage= 1.5

Now Head-First expects to increase sales by 10% next year.

1) % Change on income= ?

We know that the degree of operating leverage is calculated by the following formula:

degree of operating leverage= %change in income/ %change in sales

1.5= %change in income/0.10

0.15= %change in income

15%= %change in income

2) Net operating income

Sales= 5,500*75= 412,500

Total variable cost= 5,500*45= (247,500)

Contribution margin= 165,000

Fixed costs= (49,500)

Net operating income= 115,500

Change in income= (115,500 - 100,500)/100,500= 0.1493= 14.93%

A company is considering investing in a project that costs $300,000. The company uses straight-line depreciation and estimates that the project has a useful life of 10 years with no salvage value. This project is expected to produce NET INCOME of $42,000 each year. Assuming a minimum rate of return of 10%, indicate the NET PRESENT VALUE of this project. a. $41,928
b. $258,072
c. $120,000
d. $142,409

Answers

Answer:

NPV = $-41,928.18

Explanation:

Net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV can be calculated using a financial calculator:

Cash flow in year 0 = $-300,000

Cash flow each year from year 1 to 10 = $42,000

I = 10%

NPV = $-41,928.18

To find the NPV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you

Answer:

b. $258,072

Explanation:

PERIOD              CASH FLOW                   NET PRESENT VALUE

Year 1                       $42,000                         (42000)/((1 + 0.10)^(1))  = 38181.82

Year 2                      $42,000                         (42000)/((1 + 0.10)^(2))  = 34710.74

Year 3                      $42,000                         (42000)/((1 + 0.10)^(3))  = 31555.22

Year 4                      $42,000                         (42000)/((1 + 0.10)^(4))  = 28686.57

Year 5                      $42,000                         (42000)/((1 + 0.10)^(5))  = 26078.70

Year 6                      $42,000                         (42000)/((1 + 0.10)^(6))  = 23707.91

Year 7                      $42,000                         (42000)/((1 + 0.10)^(7))  = 21552.64

Year 8                      $42,000                         (42000)/((1 + 0.10)^(8))  = 19593.31

Year 9                      $42,000                         (42000)/((1 + 0.10)^(9))  = 17812.10

Year 10                     $42,000                        (42000)/((1 + 0.10)^(10))  = 16192.82

Total                                                                          $258,071.83  

__ analysis is based on the concept that the longer you have to wait to receive money, the less valuable it is right now.

Answers

The analysis which is based on the concept that the longer you have to wait to receive money, the less valuable it is right now is known as:

  • Discounted cash flow

Based on the given question, we can see that the discounted cash flow has to do with the analysis which is based on the concept that the longer at which a person has to wait to receive money, then the less valuable the money is at the moment.

This is because, this concept is used to make valuations about how much value an investment is worth and how the current value of the investment is and the future projections.

Therefore, the correct answer is discounted cash flow

Read more about discounted cash flow here:

brainly.com/question/22847598

Cemex, the largest cement producer in Mexico: a) is an insignificant competitor outside its home market. b) has only expanded into Spanish-speaking markets. c) generates about half of its income from outside Mexico. d) was eventually acquired by Holder Bank of Switzerland after Holder Bank entered the Mexican market.

Answers

Answer:

The correct answer is C. Cemex, the largest cement producer in Mexico, generates about half of its income from outside Mexico.

Explanation:

CEMEX is an international company for the construction industry, which offers products and services to clients and communities in more than 50 countries around the world. The Mexican company holds the third place in world sales of cement and is the main producer of ready-mix concrete, with a production capacity of approximately 77 million tons per year, serving the markets of America, Europe, Asia, Africa and the Middle East.  50% of the company's sales come from its operations in Mexico, 25% of its plants in the United States, 15% from Spain, and the rest from its plants in other parts of the world.

In the month of June, a department had 8000 units in beginning work in process that were 70% complete. During June, 32000 units were transferred into production from another department. At the end of June there were 4000 units in ending work in process that were 40% complete. Materials are added at the beginning of the process, while conversion costs are incurred uniformly throughout the process (Please show work)A. How many units were transfered out of the process in june________B.The equivalent units of production for materials in June were _______C. The equivalent units of production for conversion costs for June were_______

Answers

Answer:

A. 36,000 units

B. 40,000 units

C. 32,800 units.

Explanation:

A. To calculate units transferred out we add beginning work in process to units transferred during the period and subtract the ending work in process units.

8,000 + 32,000 - 4,000 = 36,000

Units transferred out of process in June = 36,000

B. The equivalent units of production for materials will be ;

8,000 + 32,000 = 40,000.

C. The equivalent units of production for Conversion costs will be:

(8000 * 30%) + 32000 - (4000 * 40%) = 32,800.

Benson Manufacturing Company established the following standard price and cost data: Sales price $ 8.10 per unit Variable manufacturing cost $ 3.90 per unit Fixed manufacturing cost $ 2,100 total Fixed selling and administrative cost $ 500 total Benson planned to produce and sell 2,400 units. Actual production and sales amounted to 2,700 units. Assume that the actual sales price is $7.80 per unit and that the actual variable cost is $4.25 per unit. The actual fixed manufacturing cost is $1,300, and the actual selling and administrative costs are $530. Required a.&b. Determine the flexible budget variances and classify the effect of each variance by selecting favorable (F) or unfavorable (U). (

Answers

Answer:

The flexible budget variances are attached.

Overall, the variance was favorable.  The actual results in net income produced a favorable variance of $275.

Explanation:

A budget variance is the difference between the actual amount and the budgeted.

It is favorable when the actual income is greater than the budgeted income or when the actual expense is less than the budgeted expense.  Income becomes favorable if more actual income had been generated than actually projected.  And if actual expense is more than budgeted, then the expense line item records unfavorable variance.

Variance analysis is always employed to gauge performance.  After analysis, the variances are investigated for course correction, as the case may be.  Favorable outcomes are encouraged while unfavorable outcomes are discouraged.

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