You would like to have enough money saved to receive a growing annuity for 25 years, growing at a rate of 4 percent per year, with the first payment of $60,000 occurring exactly one year after retirement. How much would you need to save in your retirement fund to achieve this goal

Answers

Answer 1

The question is incomplete. The complete question is :

You would like to have enough money saved to receive a growing annuity for 25 years, growing at a rate of 4 percent per year, with the first payment of $60,000 occurring exactly one year after retirement. How much would you need to save in your retirement fund to achieve this goal? (The interest rate is 12%.)

Solution :

Given data :

pv of growing annuity, i = 0.04

Rate of interest, r = 0.12

Therefore,

[tex]$pv=\frac{60000}{(1+r) } + \frac{60000(1+i)}{(1+r)^2 } + \frac{60000(1+i)^2}{(1+r)^3 } + ...+ \frac{60000(1+r)^{24}}{(1+r)^{25} } $[/tex]

[tex]$pv=\frac{\frac{60000}{(1+r)}\left(1-\left(\frac{1+i}{1+r}\right)^{25}\right)}{1-\left(\frac{1+i}{1+r}\right)}$[/tex]

[tex]$pv=\frac{\frac{60000}{(1.12)}\left(1-\left(\frac{1.05}{1.12}\right)^{25}\right)}{1-\left(\frac{1.04}{1.12}\right)}$[/tex]

[tex]$pv = \frac{60000}{1.12} \times 11.80461368$[/tex]

[tex]$pv = \$ 632390.0191$[/tex]

pv = $ 632390.02 (rounding off)


Related Questions

Binder Corp. has invested in new machinery at a cost of $1,450,000. This investment is expected to produce cash flows of $640,000, $715,250, $823,330, and $907,125 over the next four years. What is the payback period for this project

Answers

Answer:

2.12 years

Explanation:

The calculation of the payback period is given below:

Year           CF             Cumulative CF

0         $(1,450,000)       $(1,450,000)

1            640,000            (810,000)

2           715,250            (94,750)

3           823,330           728,580

4           907,125           1,635,705

Now payback period is  

= 2 + ($94,750 ÷$823,330)

= 2.12 years

George wants to retire at 65 with $1,000,000 in savings. He plans to deposit a lump sum on his birthday each year. How much will he need to invest each year if he starts saving at 25

Answers

Answer:

Annual saving = 6460

Explanation:

Below is the calculations:

Future value of amount = $1000000

He starts saving at 25 years, then the Years of saving = 40.

Let the interest earned on the saving account = 6%

Thus annual saving = 1000000(F/A, 6%, 40)

Annual saving = 1000000(0.00646)

Annual saving = 6460

Therefore the annual saving will be 6460 dollars.

Claremont Company sells refurbished copiers. During the month, the company sold 180 copiers for total sales of $540,000. The budget for the month was to sell 175 copiers at an average price of $3,200. The sales price variance for the month was

Answers

Hi, I am not a college student but I think I understand the question; 540,000 divided by 180= 3,000 so each copier sold for 3,000, however 3,200 x 175= 560,000, I think that determines the difference or “variance” please let me know if this information is useful

When high-tech start-up Minx first hit the technology scene, it created a big splash. Its music streaming and voice control technology promised to revolutionize the field. It attracted $500,000 in seed money, suggesting that it could hire the best talent and create amazing new products. But Minx quickly fell off the fast track. It spent nearly $400,000 on a Bluetooth product that sold only 28 units. In addition, a botched security update resulted in the company's having to conduct a nationwide recall of one of its smart products. Yet, other products have been successful, and the company is not facing bankruptcy. Initially, Minx offered amazing perks to attract the best and brightest talent. It provided an in-house chef with free gourmet meals, unlimited snacks, on-site acupuncture, and free yoga classes. Its offices were pet-friendly, and new employees received a $10,000 cash signing bonus. To counter the long hours that the tech world notoriously demands of its workers, Minx offered relaxation areas with table tennis and foosball tables. Unfortunately, bad times have made it necessary for Minx to pull back on its employee perks. Although no staff people are being released, the in-house chef has to go, along with on-site acupuncture, yoga classes, and the $10,000 signing bonus. However, it's still a good place to work, and camaraderie is high.

Required:
As a communications trainee in the CEO's office, you have been asked to draft an intranet post or a memo to employees announcing the bad news. Explain the cutbacks that affect current employees. Employ the bad-news techniques taught in this chapter. What could soften this bad news?

Answers

Answer:

The responses can be defined as follows:

Explanation:

Whenever we enter an organization, we engage but we see that now the organization and ourselves have shared objectives. You operate as a team, create market value and affect the behavior of those you call customers. This is Minx's aim since day 1, and so far nothing had changed. Irrespective of the problems we face, we will prevail together again and escape from difficult situations.

That is why I send this note to inform you and in these tough economic times, we are reducing some facility's all-around idea of creating a more stable and sustainable atmosphere. In the following few months, we will eliminate some amenities including chefs, in-house acupuncturists, yoga sessions, and a prize fee of $10,000. Notwithstanding the difficulty, we would not implement personnel-related actions, such as redundancies and a decrease of employees.

Despite the reduction, I think that we will recover which is merely a temporary solution to tackle the financial storm. Your high-performing culture, comradeship, mutual care, team chemistry should dominate since we have done in the past. We didn't convey my appreciation for having people like you in our team and from this difficult period, we'll only gain strength. We looking forward more to your contributions and thoughts.

Two countries produce coffee and blueberries. Nicaragua can produce either 25 thousand pounds of coffee or 100 thousand pounds of blueberries per year. Colombia can produce either 20 thousand pounds of coffee or 40 thousand pounds of blueberries per year.

Initially the two countries do not trade. Nicaragua produces 7 thousand pounds of coffee and 72 thousand pounds of blueberries. Colombia produces 7 thousand pounds of coffee and 26 thousand pounds of blueberries. Suppose the countries completely specialize and decide to trade 9 thousand pounds of coffee for 27 thousand pounds of blueberries.

Suppose the countries completely specialize and decide to trade 9 thousand pounds of coffee for 27 thousand pounds of blueberries. After trade, Nicaragua can consume _____________ thousand more pounds of coffee and ____________ thousand more pounds of blueberries. After trade, Colombia can consume_____________ thousand more pounds of coffee and thous and _______________more pounds of blueberries in comparison to the pre- trade consumption.

Answers

Answer:

Columbia has more than 4 coffee & 1 more berry.  

2) Nicaragua has more than 2 coffee & (100-27)= 73 berry, so 1 more berry.

Explanation:

                     Coffee  Berry

Columbia          20             40

Nicaragua          25              100

So Columbia has Comparative ADVANTAGE in Coffee,  

So it specializes in Coffee,   & Nicaragua specializes in Berry  

Initial consumption levels:  

In Columbia ( Coffee, Berry)= (7,26)  

In Nicaragua, (7,72)  

so if Columbia trades 9 Coffee for 27 Berry  

it can have (20-9) = 11 coffee, with 27 Berry  

1) Columbia has more than 4 coffee & 1 more berry.  

2) Nicaragua has more than 2 coffee & (100-27)= 73 berries, so 1 more berry.

Securitas Financial Services is contemplating purchasing and installing a new, expensive computer network. This is the type of expenditure that would be included in a(n) __________ budget. Multiple Choice capital cash operating asset

Answers

Answer:

capital budget.

Explanation:

From the question we are informed about scenerio whereby Securitas Financial Services is contemplating purchasing and installing a new, expensive computer network. This is the type of expenditure that would be included in capital budget.

Capital budgeting can be regarded as process that is been taken by a business in order to carry out evaluation of potential major projects or potential investments. An instance of this project whereby capital budgeting would be required before approval or rejection is Construction of a new plant, another one is carrying out big investment outside the venture.

the definition of entrepreneurship holds the promised of ​

Answers

Answer:

Entrepreneurship is the pursuit of opportunity beyond resources controlled. ... Merriam-Webster gives a definition that's closer to what most of us would probably offer the English learner: an entrepreneur is “a person who starts a business and is willing to risk loss in order to make money."

Explanation:

I hope it helped❤hey buddy can u do a favor to meif u don't mind ......plz subscribe to my UTube channel - gtron9528

Jeong Company began operations on January 1, 2020, and uses the Average Cost method in costing its raw material inventory. Management is contemplating a change to the FIFO method and is interested in determining what effect such a change will have on net income. Accordingly, the following information has been developed:

Final Inventory 2017 2018
FIFO $630000 $635000
LIFO 510000 600000
Net Income (computed under the FIFO method) 910000 1260000

Based on the above information, a change to the LIFO method in 2018 would result in net income for 2018 of:___________

Answers

Answer: $1,225,000

Explanation:

LIFO means that when inventory is sold, only the most recent inventory is sold as opposed to FIFO where the earliest inventory is sold before the recent ones.

With FIFO, net income is usually higher because prices generally increase so LIFO will have a higher Cost of Goods sold.

Net income under LIFO = Net income under FIFO - Difference between FIFO and LIFO for the year

= 1,260,000 - (635,000 - 600,000)

= 1,260,000 - 35,000

= $1,225,000

Consider the P/E ratios of the following companies: Company A: 7.4 Company B: 11.3 Company C: 14.8 Company D: 9.1 Among these four companies, Company C has the __________. highest relative value highest dollar price lowest relative value lowest net income

Answers

Answer:

highest relative value highest dollar

Explanation:

The price to earning ratio is a financial metric used to value a company. it compares the price of a stock to the earnings of the stock. the higher the metric is, the higher the valuation of the firm

price to earning ratio (P / E) = market value per share / earnings

The higher the P/E, the higher the relative value of the firm relative to other firms. This is because investors are confident about the prospects of growth of the firm and are willing to pay a higher price for the stock of the company

Types of P/E ratio

1. trailing p/e - it is calculated by dividing current share price by the earnings per share for the past 12 months

2. forward p/e - it is calculated by dividing current share price by the estimated per share earnings for the next 12 months

MC Qu. 91 Raven Company has a target of earning... Raven Company has a target of earning $70,100 pre-tax income. The contribution margin ratio is 32%. What amount of dollar sales must be achieved to reach the goal if fixed costs are $36,200

Answers

Answer:

The amount of dollar sales must be achieved to reach the goal is $331,875.

Explanation:

This can be calculated using the following formula:

Amount of dollar sales required = (Targeted pre-tax income + Fixed costs) / Contribution margin ratio ……..(1)

Where:

Amount of dollar sales required = ?

Targeted pre-tax income = $70,000

Fixed costs = $36,200

Contribution margin ratio = 32%, or 0.32

Substituting all the values into equation (1), we have:

Amount of dollar sales required = ($70,000 + $36,200) / 0.32 = $106,200 / 0.32 = $331,875

Thereforee, the amount of dollar sales must be achieved to reach the goal is $331,875.

Sheridan Company Ltd. publishes a monthly sports magazine, Fishing Preview. Subscriptions to the magazine cost $28 per year. During November 2022, Sheridan sells 10,500 subscriptions for cash, beginning with the December issue. Sheridan prepares financial statements quarterly and recognizes subscription revenue at the end of the quarter. The company uses the accounts Unearned Subscription Revenue and Subscription Revenue. The company has a December 31 year-end.

Required:
Prepare the entry in November for the receipt of the subscriptions.

Answers

Answer and Explanation:

The journal entry to record the receipt of the subscription is as follows:

Cash ($28 × 10,500) $294,000

         To Unearned Subscription Revenue $294,000

(being the  receipt of the subscription is recorded)

Here the cash is debited as it increased the assets and credited the unearned subscription revenue as it also increased the revenue

One of the sales consultants at Ebhayi furniture store is performing very poorly. She arrives late for work and phones in sick at least once a month. She is also rude to customers and doesn't mix well with the other staff. The owner has asked you to deal with it. Discuss how you will handle this staff member.

Answers

Explanation:

i will give many works like carpenter and also I give her my position just for one day to maintain the shop . I think if she do shop owner's work she will definitely understand it and she becomes change

(or)

I will bring the same worker like she and the staff will behave rude to her and she becomes change if she understand the rude staff disturbance that how all staffs and customers feel like her. one day her behaviour will change

Job candidates are leaving an office every 50 minutes. Each candidate goes through three activities during the office visit: verification, written test, and interview. Verification takes 1 minute, the written test takes 40 minutes, and the interview takes 10 minutes. Assume there is only one resource dedicated to each activity. What is the utilization of the bottleneck resource?

Answers

Answer:

80%

Explanation:

Calculation to determine the utilization of the bottleneck resource

First step is to calculate the Flow rate

Flow rate = 1/50

Flow rate = 0.02 customer per minute.

Second step is to calculate the Bottleneck capacity

Bottleneck capacity = Min(1, 1/40, 1/10)

Bottleneck capacity= 0.025 customer per minute.

Now let determine the Utilization of the bottleneck resource using this formula

Utilization of the bottleneck resource = Flow rate/Capacity

Let plug in the formula

Utilization of the bottleneck resource= 0.02/0.025

Utilization of the bottleneck resource= 80%.

Therefore the utilization of the bottleneck resource is 80%

Growing, Inc. is a firm that is experiencing rapid growth. The firm yesterday paid a dividend of $7.70. You believe that dividends will grow at a rate of 25.0% per year for two years, and then at a rate of 5.0% per year thereafter. You expect the stock will sell for $35.09 in two years. You expect an annual rate of return of 23.0% on this investment. If you plan to hold the stock indefinitely, what is the most you would pay for the stock now

Answers

Answer:

$38.98

Explanation:

The maximum amount a rational investor would pay for the stock is the present value of its future dividends and the present value of the terminal value of dividends beyond year 2(the price at the end of year 2) discounted at the investor's rate of return which is 23.0%

Year 1 dividend=$7.70*(1+25.0%)=$9.63

Year 2 dividend=$9.63*(1+25.0%)=$12.04

Share price at the end of year 2=$35.09(the 5.0% is of no use since terminal value beyond has been given)

price of the stock=$9.63/(1+23.0%)^1+$12.04/(1+23.0%)^2+$35.09/(1+23.0%)^2

price of the stock=$38.98  

Minor Company installs a machine in its factory at the beginning of the year at a cost of $135,000. The machine's useful life is estimated to be 5 years, or 300,000 units of product, with a $15,000 salvage value. During its first year, the machine produces 64,500 units of product. Determine the machines' first year depreciation under the double-declining-balance method. Multiple Choice $66,000. $25,800. $24,000. $54,000. $48,000.

Answers

Answer:

$24,000

Explanation:

Calculation to determine the machines' first year depreciation under the double-declining-balance method.

Using this formula

Depreciation Expense = (Cost - Salvage Value)/Estimated Useful Life

Let plug in the formula

Depreciation Expense = ($135,000 - $15,000)/5

Depreciation Expense=$120,000/5

Depreciation Expense= $24,000

Therefore the machines' first year depreciation under the double-declining-balance method is $24,000

Nakatomi Corporation produces 10,000 units of Product A at a cost of $20 per unit. A detailed breakdown of the cost is below. Per Unit Variable costs $ 12 Allocated manufacturing overhead costs 3 Allocated general administrative costs 5 $ 20 Outside supplier's offer $ 17 What are the total relevant cost of producing the units internally

Answers

Answer: $120,000

Explanation:

Fixed costs are not considered to be relevant costs because they will be incurred by the business regardless. Variable costs are therefore the only relevant costs and in this case the variable costs are:

= Number of units * variable costs per unit

= 10,000 units * 12

= $120,000

how many years will be required for a given sum of money to triple, if it is deposited in a bank account that pays 6% per year compound annualy

Answers

Answer:

19 years

Explanation:

the 19th year your money will triple and be worth 3.0256 times the original sum.

Swifty Corporation is unsure of whether to sell its product assembled or unassembled. The unit cost of the unassembled product is $24 and Swifty would sell it for $56. The cost to assemble the product is estimated at $20 per unit and the company believes the market would support a price of $69 on the assembled unit. What decision should Swifty make

Answers

Answer:

See below

Explanation:

Assembled product

Cost = $24 + $20 = $44

Selling price = $69

Profit = $69 - $44 = $25

Unassembled product

Cost = $24

Selling price = $56

Profit = $56 - $24 = $32

Therefore, Swifty corporation should sell before assembly, the company will be better off by $7

Michael’s basement recently flooded. He has a homeowner’s policy covering flood damage that has a $500 deductible. The total damages to the basement totaled $2500. How much will the insurance company pay in this scenario? A. $500 B. $2500 C. nothing D. $2000

Answers

Answer:

D. $2000

Explanation:

Calculation to determine How much will the insurance company pay in this scenario

Using this formula

Amount to pay=Total damages -Deductible homeowner’s policy covering flood damage

Let plug in the formula

Amount to pay=$2,500-$500

Amount to pay=$2,000

Therefore How much will the insurance company pay in this scenario will be $2,000

The Correct Answer: $2000

Beta Inc. can produce a unit of Zed for the following costs: Direct material $ 10 Direct labor 20 Overhead 50 Total costs per unit $ 80 An outside supplier offers to provide Beta with all the Zed units it needs at $58 per unit. If Beta buys from the supplier, it will still incur 40% of its overhead. Beta should:

Answers

Answer: Beta should buy from the outside supplier

Explanation:

If Beta produces the product itself, only avoidable costs would be accounted for:

= Direct labor + Direct material + Unavoidable overhead

= 10 + 20 + ( (1 - 40%) * 50)

= 10 + 20 + 30

= $60

If however, Beta buys the product, they will buy at $58 per unit which is less than the $60 they would make it for.

Beta should buy the product because they will be able to save $2 per unit.


If a candidate is denied a license due to information obtained in the mandatory criminal background check, how
long do they have to request a hearing with NCREC?

Answers

Answer:

60 days

Rationale: The criminal background check is obtained by the candidate at NCREC.Check.com. The background check will be reviewed by NCREC after the candidate passes the examination and before a license is issued.

Fortune Drilling Company acquires a mineral deposit at a cost of $5,900,000. It incurs additional costs of $600,000 to access the deposit, which is estimated to contain 2,000,000 tons and is expected to take 5 years to extract. What journal entry would be needed to record the expense for the first year assuming 418,000 tons were mined

Answers

Answer and Explanation:

the journal entry is given below:

Depletion Expense $1,358,500

         To Accumulated Depletion $1,358,500.

(Being depletion expense is recorded)

Here the depletion expense is debited as it increased the expense and credited the accumulated depreciation as it decreased the assets

Working note

Depletion expense is

= ($5,900,000 + $600,000) ÷ $2,000,000 × 418,000

= $1,358,500

The most common measure of __________ is the spread between the number of shares which advance in price and the number of shares which decline in price.
A. market breadth
B. market volume
C. odd-lot trading
D. short interest

Answers

Answer:

A)market breadth

Explanation:

Breadth of market can be regarded as indicator that is been utilized in security analysis. It can be computed on a stock market through finding the ratio of advancing stocks numbers to that of number of declining stocks.

It should be noted that the The most common measure of market breadth is the spread between the number of shares which advance in price and the number of shares which decline in price.

Given the following information, determine the amount of cash on the balance sheet, assuming that the company has only three assets.

Liabilities equal $3,350
Owner's equity equals $28,000
Supplies equal $2,000
Land equals $23,500

Answers

Answer:

Cash balance = $5850

Explanation:

Below is the given values and calculations:

Liabilities  = $3350

Equity = $28000

Supplies = 2000

Land = $23500

Cash on the balance sheet can be determined by subtracting the sum of supplies and land from the sum of liability and equity.

Cash balance = (28000 + 3350) - (2000 + 23500)

Cash balance = $5850

Ace Products has a bond issue outstanding with 15 years remaining to maturity, a coupon rate of 9% with semiannual payments of $45, and a par value of $1,000. The price of each bond in the issue is $1,180.00. The bond issue is callable in 5 years at a call price of $1,090.

Required:
a. What is the bond's nominal annual yield to maturity (YTM)?
b. What is the bond's nominal annual yield to call (YTC)?
c. Assuming interest rates remain at current levels, will the bond issue be called?

Answers

Answer:

a. Nper = 30

PMT = 45

FV = `1000

Price Pv = -1180

Rate (YTM) = ?

Using the MsExcel Rate function to derive YTM

Nominal annual yield to maturity = Rate(Nper, Pmt, -Pv, Fv) * 2

Nominal annual yield to maturity = Rate(30, 45, -1180, 1000) * 2

Nominal annual yield to maturity = 7.04%

b. Nper = 10

PMT = 45

Call Price = 1090

Price Pv = -1180

Rate (YTC) = ?

Using the MsExcel Rate function to derive YTM

Nominal annual yield to call = Rate(Nper, Pmt, -Pv, Fv) * 2

Nominal annual yield to call = Rate(10, 45, -1180, 1090) * 2

Nominal annual yield to call = 6.31%

C. Yes, the bond issue should call because the YTC is less than the YTM.

Starfish Enterprises produces men’s sports coats that are sold by popular department stores. Each retail order is treated as a job that accumulates materials, labor, and overhead costs for a batch of sports coats. Material costs for a selected job is $900 for a batch of 30 suit coats (units). The material cost per unit is ________. $27.00 $30.00 $27.70 $26.00

Answers

Answer:

Unitary cost= $30

Explanation:

Giving the following information:

Material costs for a selected job are $900 for a batch of 30 suit coats (units).

To calculate the unitary cost, we need to use the following formula:

unitary cost= total batch cost / number of units

unitary cost= 900 / 30

unitary cost= $30

Employees earn vacation pay at a rate of one day per month. The company estimated and must expense $1,500 of accrued vacation benefits for the year. Which of the following is the necessary year-end adjusting entry to record accrued vacation benefits?
a) Debit Vacation Benefits Expense $1,500; credit Prepaid Vacation $1,500.
b) Debit Vacation Benefits Expense $1,500; credit Vacation Benefits Payable $1,500.
c) Debit Payroll Tax Expense $1,500: credit Payroll Taxes Payable $1.500.
d) Debit Prepaid Vacation Benefits $1,500; credit Vacation Benefits Payable $1,500

Answers

Answer:

b) Debit Vacation Benefits Expense $1,500; credit Vacation Benefits Payable $1,500.

Explanation:

The journal entry to record the accrued vacation benefit is given below:

Vacation Benefits Expense $1,500

        To Vacation Benefits Payable $1,500

(being the accrued vacation benefit is recorded)

Here vacation benefit expense is debited as it increased the assets and credited the vacation benefit payable as it also increased the liabilities

A firm sells two products, Regular and Ultra. For every unit of Regular the firm sells, two units of Ultra are sold. The firm's total fixed costs are $1,536,000. Selling prices and cost information for both products follow. What is the firm's break-even point in units of Regular and Ultra?

Answers

Answer:

regular - 32,000

ultra - 64,000

Explanation:

Please find the remaining part of this question in the attached image

Breakeven quantity are the number of  units produced and sold at which net income is zero

Breakeven quantity = fixed cost / price – variable cost per unit

Contribution margin :

Regular = 22 - 8 = 14

Ultra = 25 - 8 = 17

weighted contribution margin = (1/3 x 14) + (2/3 x 17) = 16

Firms breakeven =  $1,536,000 / $16 = 96,000

Regular's breakeven = 1/3 x 96,000 = 32,000

Ultra's breakeven = 2/3 x 96,000 = 64,000

Currently, the unit selling price of a product is $350, the unit variable cost is $290, and the total fixed costs are $780,000. A proposal is being evaluated to increase the unit selling price to $390.

Required:
a. Compute the current break-even sales (units).
b. Compute the anticipated break-even sales (units), assuming that the unit selling price is increased to the proposed $390, and all costs remain constant.

Answers

Solution :

a). [tex]\text{The contribution margin per unit = }[/tex][tex]\text{selling price per unit - variable cost per unit}[/tex]

                                                           = $ 350 - $ 290

                                                            = $60

The current break even sales = [tex]$\frac{\text{fixed cost}}{\text{contribution margin per unit}}$[/tex]

                                                  [tex]$=\frac{780,000}{60}$[/tex]

                                                 = 13,000 units

Therefore, the current break-even sales (units) = 13,000 units

b). The Contribution Margin Ratio = Selling Price Per Unit - Variable Cost Per Unit

                                                       = $390 - $290

                                                      = $ 100

[tex]$\text{Break even sales}=\frac{\text{fixed cost}}{\text{contribution margin per unit}}$[/tex]

                          [tex]$=\frac{780,000}{100}$[/tex]

                          = 7,800 units.

So, the answer is 7800 units.

Given direct material cost of $10, direct labor cost of $15, direct-labor based overhead of $12 and Activity-Based Costing overhead of $16, the total cost of the product using Activity-Based costing is $___________ . (Enter your answer as a whole number.)

Answers

Answer:

Total cost of product using the Activity-Based costing

Particulars                                Amount

Material cost                                $10

Labor cost                                    $15

Overheads cost under ABC        $16

Total cost of product                   $41

Other Questions
the product 17.10 The following costs were incurred in May: Direct materials $42,200 Direct labor $32,800 Manufacturing overhead $25,400 Selling expenses $18,800 Administrative expenses $40,200 Conversion costs during the month totaled: __________ If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver? 16 oz = 1 pound Help again this is my last retake A cuboid has the length 4cm, width 3cm and length 1.5cm Calculate the volume of the cuboid 5^3x +2 = 25^x 8step by step please PLease helpBelinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:Number of years 1 2 3House 1 (value in dollars) 186,160 193,606.40 201,350.66House 2 (value in dollars) 190,000 201,000 212,000Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points) If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong 14. Divide and write the fraction or mixed number in its simplest form:1/43/8 The end of the Soviet Union Place each event in the correct order -Headliners tried to gain control in a coup d'etat-Gorbachev became leader of the USSR-The Soviet Union was dissolved -Perestroika and Glasnost led the reform Zippy had cash inflows from operations of $72,500; cash outflows from investing activities of $57,000; and cash inflows from financing of $35,000. The net change in cash was: Who helped the Mughal Empirebecome one of the most powerful empires of its time by increasingreligious tolerance, allowing opentrade, and abolishing slavery? simplify -8/2 6/-3 Purpose: Share an important event in your life that significantly changed you, your view about life, yourlife goals, or your character for the better.List possible topics. Consider important objects, special days, and high and low points as you brainstorm.DONE V DMC Company manufactures a standard and a custom version of a boat engine. Overhead costs include a significant amount of indirect labor and other costs related to moving materials and setting up machines for each batch of engines that are produced. The rest of the overhead is mostly facility-based. The actual activity for a year was as follows: Total Standard engines Custom engines Engines produced 3,000 2,500 500 Machine hours 6,000 4,800 1,200 Batches of products 200 100 100 DMC has used machine hours in the past to allocate all overhead costs. Which of the following statements is true given the data above, if DMC used machine hours as the allocation base for the current year?a. DMC under allocated overhead costs to the standard engines. b. DMC paid more for overhead costs than if it used activity-based costing. c. DMC over allocated the overhead costs to the standard engines. how did Mikhail Gorbachev end the cold war?? needs to be 3-5 sentences Read the passage from Sugar Changed the World.The traders who came up from Italy offered items they had bought [from] Muslims, which were not available in Europe: fruits such as oranges, apricots, and figs; dyes such as cochineal, which produces a rich red; rare fabrics such as cotton and raw silk. Many of the fabrics that we know of today came to Europe via the Muslims, and their names still show their origins: damask from Damascus, muslin from Mosul, gauzes from Gaza.Which inference does this passage best support?Traders brought not only sugar but also other valuable items to Europe.The most popular items for traders to buy were various fruits and fabrics.Most types of cloth are named after where they are from instead of what they look like.After seeing cloth from other lands, Europeans worked to produce similar fabrics. Viral or bacterial germs that invade body cells are called _____.phagocytespathogenswhite blood cellslymphocytes A plane traveled 4425 miles with the wind in 7.5 hours and 3675 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is Woodrow Wilson's New Freedom a supported federal government ownership of railroads and utilities. b favored big business with accompanying federal regulation. c favored small enterprise, entrepreneurship, and the busting of monopolies. d was focused around working-class issues like unions and minimum-wage laws. e opposed banking and tariff reform.