Business Finance 344 Homework You plan to retire in 39 years. You are debating whether to deposit $69,931 into an account earning 9 percent annually today or waiting 14 years before making the deposit. How much more will be in the account when you retire in 39 years if you make the deposit today as opposed to waiting 14 years to make the first deposit

Answers

Answer 1

Answer:

If you made the deposits now, you would have $1,412,109.77 more than waiting 14 years.

Explanation:

Giving the following information:

Initial investment (PV)= $69,931

Interest rate (i)= 9%

Number of periods= 39 or 25

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

Wait 14 years:

FV= 69,931*(1.09^25)

FV= $603,020.65

Deposit now:

FV= 69,931*(1.09^39)

FV= $2,015,130.42

If you made the deposits now, you would have $1,412,109.77 more than waiting 14 years.


Related Questions

Calculate the current price of a $1,000 par value bond that has a coupon rate of 6 percent, pays coupon interest annually, has 27 years remaining to maturity, and has a current yield to maturity (discount rate) of 15 percent. (Round your answer to 2 decimal places and record without dollar sig

Answers

Answer: $413.81

Explanation:

Price of a bond = Present value of coupon payments + Present value of face value

Coupon is a constant payment so is an annuity.

Coupon = 6% * 1,000 = $60

Price of bond = Present value of annuity + Present value of face value

= (Coupon * Present value interest factor of annuity (PVIFA), 27 periods, 15%) + (Face value / (1 + rate) ^ number of periods)

= (60 * 6.514) + (1,000 / (1 + 15%)²⁷

= $413.81

Chance, Inc. sold 5,000 units of its product at a price of $172 per unit. Total variable cost per unit is $131, consisting of $92 in variable production cost and $39 in variable selling and administrative cost. Compute the manufacturing margin for the company under variable costing.

Answers

Answer:

$400,000

Explanation:

Computation for the manufacturing margin for the company under variable costing

Using this formula

Manufacturing margin= Sales - Total variable production cost

Let plug in the formula

Manufacturing margin=( 5,000*$172)- (5,000*$92)

Manufacturing margin=$860,000-$460,000

Manufacturing margin= $400,000

Therefore the manufacturing margin for the company under variable costing is $400,000

Inga invested part of her $6000 savings in common stock and the rest in rare stamps. At the end of the year, she realized a gain of 9% on the stock and 12%on the stamps. If her savings now amounts to $6615, how much did she invest in stamps

Answers

Answer:

The amount Inga invested in stamps is $2,500.

Explanation:

Let x represents the amount invested in common stock. Therefore, we have:

Amount invested in common stock = x

Amount invested in stamps = 6000 - x

Rc = Rate of gain from common stock = 9%, or 0.09

Rs = Rate of gain from common stock = 12%, or 0.12

Amount of saving now = $6615

Therefore, we have

Amount of saving now = (x * (1 + Rc)) + ((6000 - x) * (1 + Rs)) ………….. (1)

Substituting all the relevant values into equation (1) and then solve for x, we have:

6615= (x * (1 + 0.09)) + ((6000 - x) * (1 + 0.12))

6615 = (x * 1.09) + ((6000 - x) * 1.12)

6615 = 1.09x + (6720 - 1.12x)

6615 = 1.09x + 6720 - 1.12x

6615 - 6720 = 1.09x - 1.12x

-105 = -0.03x

x = -105/-0.03

x = 3,500

Therefore, we have:

Amount invested in stamps = 6000 - x = $6,000 - $3,500 = $2,500

Therefore, the amount Inga invested in stamps is $2,500.

Vaughn Manufacturing is unsure of whether to sell its product assembled or unassembled. The unit cost of the unassembled product is $24 and Vaughn would sell it for $51. The cost to assemble the product is estimated at $14 per unit and the company believes the market would support a price of $61 on the assembled unit. What decision should Vaughn make?

Answers

Answer:

Sell before assembly, The company will be better off by $4 Per Unit

Explanation:

Calculation to determine what decision should Vaughn make

PROFIT BEFORE ASSEMBLY

Profit = Sale price - Cost price

Profit= $51 - $24

Profit= $27 Per Unit

PROFIT AFTER ASSEMBLY

First step is calculate the Cost of Assembled Product

Cost of Assembled Product =$24 + $14

Cost of Assembled Product= $38 Per Unit

Now let determine the profit

Profit = Sale price - Cost price

Profit= $61 - $38

Profit = $23 Per Unit

Now let Determine what decision should Vaughn make

Hence, the Profit by selling assembled product is LOWER than selling the Unassembled product by :

$27 Per Unit - $23 Per Unit

= $4 Per Unit

Therefore the decision that Vaughn should make is: Sell before assembly, The company will be better off by $4 Per Unit

Lisah, Inc., manufactures golf clubs in three models. For the year, the Big Bart line has a net loss of $3,500 from sales $201,000, variable costs $175,000, and fixed costs $29,500. If the Big Bart line is eliminated, $20,000 of fixed costs will remain. Prepare an analysis showing whether the Big Bart line should be eliminated.

Answers

Answer:

                             Net Income Analysis

                                       Continue   Eliminate   Increase/Decrease

Sales                               201,000          0                 201,000

Less: Variable cost        175,000          0                 175,000

Contribution margin      26,000            0                  26,000

Less: Fixed expenses    29,500          20,000         9,500

Net Income                     -3,500           20,000       -16,500

Therefore, the Big Bart line should not be continued.

XYZ has two divisions: South and West. Overall net operating income is $26,900. South Division's segment margin is $42,800 and West Division's segment margin is $29,900. What is the amount of the common fixed expense not traceable to the individual divisions?
a. $45,800.
b. S56800.
с.$69,700.
d. $72,700.

Answers

Answer:

a. $45,800.

Explanation:

The computation of the common fixed expense not traceable is given below

Combined segment margin of two divisions ($42,800 + $29,900) $72,700

Less: net income -$26,900

Non traceable fixed cost $45,800

Hence, the amount of the common fixed expense not traceable to the individual divisions is $45,800

Therefore the option a is correct

True or false? if false explain. An internally held public debt is like a debt of the left hand owed to the right hand.

Answers

Answer:True

Explanation: AN internally held debt is like a debt of the left hand owned to the right hand. This is a true statement. Left hand and right hand is ib the same body. Similarly,internal debit is taken from public of one's own nation. Just like things are in left hand or right hand, it remains in same person. Similarly, internal debit is borrowed from the people of the nation itself and is held within the nation.

g. provides the following information for 20X8: Net income $260,000 Market price per share of common stock $60 per share Dividends paid $200,000 Common stock outstanding at Jan. 1, 2018 150,000 shares Common stock outstanding at Dec. 31, 2018 230,000 shares The company has no preferred stock outstanding. Calculate the price/earnings ratio of common stock.

Answers

Answer:

53.09

Explanation:

The price/earnings ratio of common stock is an investment ratio that compares the current price of the stock to its earnings per share, in a bid to assess the stock performance relative to its earnings

share price=$60

earnings per share=net income/year-end shares outstanding

net income=$260,000

year-end outstanding shares=230,000

earnings per share=$260,000/230,000

earnings per share=$1.13

price/earningsratio=$60/$1.13

price/earningsratio=53.09

If the State of California raised the average state consumer sales tax rate from 9.25 percent to 15 percent, then this sales tax will have its heavist impact on and raise the marginal cost curves for California businesses.

a. True
b. False

Answers

Answer: False

Explanation:

Consumer sales tax is not charged to businesses but rather to the customers through a business. The tax would therefore increase the prices of goods and services for consumers and not the businesses.

The businesses would therefore not see their marginal cost curves increase. They could still be affected however, by Californians demanding less goods and services because it is now more expensive for them on account of the new sales tax.

What’s the best major among these and why plz .

Business management
Business marketing
Business banking

Answers

Answer:

With a strong focus on your employability, our MSc Strategic Business Management is for those wanting an in-depth knowledge and a critical understanding of the key aspects of strategic business and management in a global context. Whether you are a manager, consultant, analyst, or want to pursue a career as an entrepreneur, this one year postgraduate degree helps develop the most important concepts and real world practical models to enhance your career in a rapidly changing work environment.

 Explanation:

Business Degree In Marketing

Business Or Marketing Degree

Degree In Marketing

Degree In Marketing Salary

Degree In Marketing Management

Bachelor Degree In Marketing

Degree In Fashion Marketing

Master Degree In Marketing

Bs Degree In Marketing

Masters Degree In Marketing

Online Degree In Marketing

Graduate Degree In Marketing

Degree In Internet Marketing

ing using a calculator​) Jesse Pinkman is thinking about trading cars. He estimates he will still have to borrow ​$ to pay for his new car. How large will​ Jesse's monthly car loan payment be if he can get a ​-year ​( equal monthly​ payments) car loan from the​ university's credit union at an APR of percent compounded​ monthly?

Answers

Answer:

Monthly car loan payment = $414 (Approx.)

Explanation:

Missing information;

Amount borrow = $29,000

NUmber of payment = 7 year x 12 = 84

Rate = 5.3% yearly = 0.053 / 12 monthly

Find:

Monthly car loan payment

Computation:

PV = $29,000

N = 84

r = 0.053/12

FV = 0  

PV = (PMT/r)[1 – 1/(1 + r)ⁿ] + FV/(1 + r)ⁿ  

29,000 = [PMT/(0.053/12)][1 – 1/(1 + 0.053/12)^84] + 0  

PMT = 413.98

Monthly car loan payment = $414 (Approx.)

three (3) State taxes and briefly describe each

Answers

The three state taxes are what you earn, taxes on what you buy, and taxes on what you own.

Earn: individual income taxes, corporate income taxes, payroll taxes, and capital gains taxes;

Buy: sales taxes, gross receipts taxes, value-added taxes, and excise taxes;

Own: property taxes, tangible personal property taxes, estate, and inheritance taxes, and wealth taxes.

Rev. Elvin Snider is the ordained minister at Crossroads United Methodist Church. His salary on his Form W-2 is $20,000. He also receives a $12,000 housing allowance. His housing costs for the year are $14,000. What is Rev. Snider's self-employment income?

Answers

Answer: $32000

Explanation:

It should be noted that ministers or clergymen can exclude the home rental value or housing cost from the calculation of the gross income

Rev. Snider's self-employment income

Therefore, in this case, Rev. Snider's self-employment income will be:

Salary = $20,000

Add: Housing allowance = $12000

Total = $32000

Assume the marginal tax rate is 10% for the first $20,000 of taxable income, 25% for taxable income from $20,001 to $50,000, and 35% for taxable income above $50,000. If Mr. Smith had taxable income of $80,000, how much tax does he owe

Answers

Answer:

the tax amount is $20,000

Explanation:

The computation of the tax amount is given below:

= 10% of $20,000 + ($50,000 - $20,001) × 25% + ($80,000 - $50,000) × 35%

= $2,000 + $7,499.75 + $10,500

= $19,999.75

= $20,000

hence, the tax amount is $20,000

The same should be considered and relevant too

A bicycle repair company conducted segmentation research and then targeted their direct mail coupons for a first bike tune-up to that identified customer segment. What basic question did targeting and segmentation answer for the company

Answers

Answer:

Who am I trying to reach?

Explanation:

Targeting and segmentation is the process by which a company focuses marketing activities regarding a particular product to a defined customer profile.

Certain criteria like income, age, location, culture and so on can be used as a basis for segmentation.

Basically the question that segmentation and targeting answers is - Who am I trying to reach?

In the given scenario the bicycle repair company conducted segmentation research and then targeted their direct mail coupons for a first bike tune-up to that identified customer segment.

So they answered who they want to sell to.

You want to retire exactly 30 years from today with $1,950,000 in your retirement account. If you think you can earn an interest rate on 10.07 percent compounded monthly, how much must you deposit each month to fund your retirement

Answers

Answer:

Monthy deposit= $849.78

Explanation:

Giving the following information:

Future value (FV)= $1,950,000

Number fo periods (n)= 30*12= 360

Interest rate (i)= 0.1007/12= 0.008392

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (1,950,000*0.008392) / [(1.008392^360) - 1]

A= $849.78

Suppose a chair manufacturer is producing in the short run (with its existing plant and equipment). The manufacturer has observed the following levels of production corresponding to different numbers of workers:
Number of Workers Number of Chairs
1 10
2 18
3 24
4 28
5 30
6 28
7 25
a. Calculate the marginal and average product of labor for this production function.
b. Does this production function exhibit diminishing returns to labor

Answers

Answer:

(a)

MP = TPn - TPn-1

AP = TP/Q

No. of workers       No. of chairs   MP    AP

         1                              10              -       10      

         2                             18             8       9

         3                             24            6       8

         4                             28            4       7

         5                             30            2       6

         6                             28          - 2      4.6

         7                              25          -3       3.5

(b) Yes, this production function exhibits diminishing returns to labor. As we increase the number of laborers, the output per worker falls. we will see that the AP is falling with the rise parturient.

Your company buys a computer system from IBM for $3 million and pays IBM $200,000 to install the computer system. The $3 million is on credit and your company pays $100,000 of interest on the loan in the current year. The acquisition cost of the computer system at the end of the current year will be

Answers

Answer:

$3.2 million

Explanation:

Calculation to determine what The acquisition cost of the computer system at the end of the current year will be

Using this formula

Acquisition cost=Purchase price+ Installation cost

Let plug in the morning

Acquisition cost= $3 million +$200,000

Acquisition cost=$3.2 million

Therefore The acquisition cost of the computer system at the end of the current year will be $3.2 million

he preemptive right is important to shareholders because it a. protects bondholders, and thus enables the firm to issue debt with a relatively low interest rate. b. allows managers to buy additional shares below the current market price. c. protects the current shareholders against a dilution of their ownership interests. d. is included in every corporate charter.

Answers

Answer:

c. protects the current shareholders against a dilution of their ownership interests.

Explanation:

In the case when the preemptive right should be significant for the shareholders so it basically protect the present shareholders that are opposed to the dilution with respective to the ownership interest

Therefore the option c is correct

And, the other options seems wrong

Elson co, needs to raise debt and for this purpose issued two different bonds, Bond A and Bond B. Both bonds have 20 years to maturity with a face value of $20000. Bond A will make no coupon payment over the entire life, however Bond B is a semiannual coupon bond. It will make first coupon payment of $1100 at sixth year semiannually for the next 8 years. After that it will make coupon payment of $1400 for the rest of its remaining life. Find the price of Bond A and B if the required rate of return on these bonds is 7 percent compounded semiannually.

Answers

Answer:

The right solution is "$20.733.16".

Explanation:

According to the question,

Face value,

= $20000

Rate (r),

= .035

Bond A:

= [tex]\frac{Face \ value}{(1+r)^n}[/tex]

= [tex]\frac{20000}{(1+.035)^{40}}[/tex]

= [tex]5051.45[/tex] ($)

Bond B:

= [tex]\frac{1100\times 12.0941}{(1+.035)^{10}} + \frac{1400\times 10.9205}{(1+.035)^{26}} + \frac{20000}{(1+.035)^{40}}[/tex]

= [tex]9431.11+6250.6+5051.45[/tex]

= [tex]20733.16[/tex] ($)

type of power based on manager's ability to influence employees with something of value to them.​

Answers

Answer:

incentive or reward

Explanation:

incentive pay, time and a half pay for overtime are examples

Cucina Corp. signed a new installment note on January 1, 2018, and deposited the proceeds of $50,000 in its bank account. The note has a three-year term, compounds 5 percent interest annually, and requires an annual installment payment on December 31. Cucina Corp. has a December 31 year-end and adjusts its accounts only at year-end. Required:

Answers

Question Completion:

Required:

1.Use an online application, such as the loan calculator with annual payments at mycalculators.com, to generate an amortization schedule. Enter that information into an amortization schedule with the following headings: Year, Beginning Notes Payable, Interest Expense, Repaid Principal on Notes Payable, and Ending Notes Payable.

2.Prepare the journal entries on (a) January 1, 2018, and December 31 of (b) 2018, (c) 2019, and (d) 2020.

3.If Cucina Corp.’s year-end were March 31, rather than December 31, prepare the adjusting journal entry it would make for this note on March 31, 2018?

Answer:

Cucina Corp.

1. Annual Amortization Schedule  

Year   Beginning       Interest Expense    Repaid Principal   Ending Notes

       Notes Payable  on Notes Payable                                      Payable

1        $50,000.00         $2,140.23               $15,842.25         $34,157.68

2        $34,157.68         $1,329.68               $16,652.80          $17,504.84

3        $17,504.84             $477.71                $17,504.77          $0.00

2. (a) January 1, 2018

Debit Cash $50,000

Credit Installment Note Payable $50,000

To record the issuance of the installment note.

December 31 of

(b) 2018

Debit Interest Expense $2,140.23

Debit Installment Note Payable $15,842.25

Credit Cash $17,982.48

To record the first installment repayment, including interest.

(c) 2019

Debit Interest Expense $1,329.68

Debit Installment Note Payable $16,652.80

Credit Cash $17,982.48

To record the second installment repayment, including interest.

(d) 2020

Debit Interest Expense $477.71

Debit Installment Note Payable $17,504.77

Credit Cash $17,982.48

To record the third and final installment repayment, including interest.

3. (b) 2018

Debit Interest Expense $625

Credit Interest Payable $625

To accrue interest expense for the year ($50,000 * 5% * 3/12)

Explanation:

a) Data and Calculations:

Installment note payable obtained on January 1, 2018 = $50,000

Period of note payable = 3 years

Interest rate = 5% compounded annually

Annual interest payment = December 31

The first three cars I bought all fell apart around 50,000 miles. It was called planned obsolescence and no one seemed to care until companies entered the market and promised 70,000, then 80,000, and finally 100,000 warranties. What sets a great car apart from a good one now is not the quality, which is assumed, but performance, safety and fuel economy. A car that can achieve all three is highly sought after. In the automotive market, performance, safety and fuel economy are sterling examples of:

Answers

Answer:

Order Winners

Explanation:

Order winners basically mean the winning attributes that customers will seek in order to successfully buy a product.

This is in fact because a customer's decision in buying a product is based on the value for money, so things such as price, availability, performance, and design are things to be considered by customers before deciding on the product.

As in the case above, the winning attributes in making a car great are performance, safety, and fuel economy. If such is found in a car then it would lead the car to be highly sought by the customers.

American Corp. is currently an all-equity firm that has 22,000 shares of stock outstanding with a market price of $27 a share. The current cost of equity is 12 percent and the tax rate is 35 percent. The firm is considering adding $225,000 of debt with a coupon rate of 6.25 percent to its capital structure. The debt will sell at par. What will be the levered value of the equity

Answers

Answer: $447,750

Explanation:

The value of a levered firm is calculated as:

= (Number of shares outstanding * Market price) + (Debt * tax rate)

= (22,000 * 27) + (225,000 * 35%)

= $672,750

Equity = Value of levered firm - Debt

= 672,750 - 225,000

= $447,750

Happy Trails, a bicycle rental company, is considering purchasing three additional bicycles. Each bicycle would cost them $249.66. At the end of the first year the increase to their revenues would be $140 per bicycle. At the end of the second year the increase to their revenues again would be $140 per bicycle. Thereafter, there are no increases to their revenues. At which of the following interest rates is the sum of the present values of the additional revenues closest to the price of a bicycle?
a. 5 percent.
b. 6 percent.
c. 7 percent.
d. 8 percent.

Answers

Answer:

D

Explanation:

We are to determine the IRR of the purchase

The internal rate of return is a capital budgeting method that is used to determine the profitability of a project.

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

Cash flow in Y0 = -249.66

Cash flow in Y1 = 140

Cash flow in  Y2 = 140

IRR = 8

To determine IRR using a financial calculator:

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 IRR button and then press the compute button

Suppose potential income is $80 billion, actual income is $40 billion, and expenditures don't vary with income. If the actual budget deficit is $8 billion and the marginal tax rate is 20 percent, the cyclical deficit:________
a) is $4 billion.
b) is $8 billion.
c) cannot be determined from the given information.
d) is between zero and $8 billion.

Answers

A(4billion)

Because I 4-(5-22)-2

Nut and Bolt guy Inc, sells nuts, bolts, fasteners and other related equipment. The CFO projects that net FCF for the next three years will be $11,000, $12,500 and $16,000, respectively. After that, the cash flows are expected to increase by 4.5 percent annually. What is the value of the firm if the WACC is 12.2%?

Answers

Answer:

$184791

Explanation:

The calculation of the value of the firm is given below:

Year         Future Cash Flow      PVF at 12.2%      PV of Cash Flow

1                 11000                               0.891                  9801

2               12500                               0.794                  9925

3               16000                                0.708                11328

Total                                                                              31054

Present Value of Terminal Value

= [16000 × (1 + 0.045) ÷ 0.122 - 0.045] × 0.708

= [16720 ÷ 0.077] × 0.708

= 153737

Now

value of Firm = 31054 + 153737

= $184791

The discount rate is a. the rate at which the Fed lends to banks. b. the rate at which public banks lend to other public banks. c. the percentage difference between the face value of a Treasury bond and what the Fed pays for it. d. the percentage of deposits banks hold as excess reserves.

Answers

Answer:

a. the rate at which the Fed lends to banks

Explanation:

The discount rate is the interest rate that are applied for measuring the present value of future cash flows

It is the rate where the federal reserve would lends to the financial insituation or bank

So as per the given options, the option a is correct

And, the other options should be considerd as wrong or incorrect

A project has an initial cost of $44,000. Expected cash flows as a result of this project are projected as follows. Calculate the payback period for this project. Assume a discount rate of 9%.

Answers

Answer:

3.5 year

Explanation:

The computation of the payback period is given below:

Year          Cash Inflow       Cumulative Cash Inflow

1                $10,000                 $10,000

2               $10,000                   $20,000

3                $15,000                 $35,000

4                $18,000                 $53,000

Now the payback period is

=  3 year + ($53,000 - $44,000) ÷ $18,000

= 3 year + 0.5

= 3.5 year

Why do mortgage brokers normally have no risk in the mortgage process? A. The broker usually does not loan the money. B. The mortgage broker doesn't sell you the property.
C. The mortgage broker simply brings the home buyer and the lender together. D. All of the above

Answers

Answer

D, all of the above.

Explanation:

Other Questions
Consider a galvanic (voltaic) cell that has the generic metals X and Y as electrodes. If X is more reactive than Y (that is, X more readily reacts to form a cation than Y does), classify the following descriptions by whether they apply to the X or Y electrode.i. anodeii. cathodeiii. electrons in the wire flow towardiv. electrons in the wire flow awayv. cations from salt bridge flow towardvi. anions from salt bridge flow towardvii. gains massviii. loses mass Solve the system using multiplication for the linear combination method.6x 3y = 3-2x + 6y = 14What is the solution to the system? Cu 1 : Trong cc phng trnh sau phng trnh no l phng trnh bc nht mt n ;A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5Cu 2 : x=-2 l nghim ca phng trnh no ?A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2Cu 3 : x=4 l nghim ca phng trnhA/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2Cu 4 : Phng trnh x+9=9+x c tp nghim l :A/ S=R B/S={9} C/ S= D/ S= {R}Cu 5 : Cho hai phng trnh : x(x-1) (I) v 3x-3=0(II)A/ (I)tng ng (II) B/ (I) l h qu ca phng trnh (II)C/ (II) l h qu ca phng trnh (I) D/ C ba u saiCu 6: Phng trnh : x2 =-4 c nghim l :A/ Mt nghim x=2 B/ Mt nghim x=-2C/ C hai nghim : x=-2; x=2 D/ V nghim People were asked if they owned an artificial Christmas tree. Of 78 people who lived in an apartment, 38 own an artificial Christmas tree. Also it was learned that of 84 people who own their home, 46 own an artificial Christmas tree. Is there a significant difference in the proportion of apartment dwellers and home owners who own artificial Christmas trees 4cosx - 2cos2x - cos4x=1 P(x) = x^4 2x^3 3x^2 + 4 What is the remainder when P(x) is divided by (x 3)? s the function represented by the table non-linear?xy64728092 given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000 The cost of producing x units of a particular commodity is 2 C(x) = x' +6x +45 shillings, and the production level t hours into a particular production run is x(1)=0.312 +0.04 units. At what rate is cost changing with respect to time after 5 hours? que es la iniciacin de un cultivo Write a pre-writing on are changing society Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 21 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 61 cm. a. What is the wavelength of the sound Wich one is it - this is biochemistry If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spent in daycare is 6 hours, what is the ratio of time with father to time in daycare? 1. Create a pseudocode program that asks students to enter a word. Call a function to compute the different ways in which the letters that make up the word can be arranged.2. Convert the pseudocode in question one to JavaScript and test your program. According to the recent Deary study in Psychology and Aging, as individuals grow older, their _____ scores _____.i. dependability; show no relationship to earlier scoresii. extraversion; show no relationship to earlier scoresiii. dependability; increase over timeiv. extraversion; increase over time Evaluate the expression when x=-6.x + 5x-2 Why are magnets been placed in speaker The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows: y = 2 + 4x What does the y-intercept of this function represent? (1 point) The original height of the plant was 4 mm. The original height of the plant was 2 mm. The height of the plant increases by 2 mm for every hour of sunlight it receives. The height of the plant increases by 4 mm for every hour of sunlight it receives. What is the role of syntax in this line?At this, after a second in which his head made the movement of a baffled dog's on a scent and then gave a frantic little shake for air andlight, he was at me in a white rage, bewildered, glaring vainly over the place and missing wholly, though it now, to my sense, filled theroom like the taste of polson, the wide, overwhelming presence.(from The Turn of the Screw by Henry James)OA. parodying archalsmsOB. describing actionOcclarifying meaningOD. intensifying horror