A friend tells you she has saved for 7 years and has a present sum of $10,000, which earned at the rate of 8% per year, compounded quarterly. Determine the equivalent amount she had to start with 7 years ago.

Answers

Answer 1

Answer:

$5750.1

Explanation:

The amount she started with can be referred to as present value (PV), while the amount sum she has after the 7 years is the future value (FV).

Thus:

FV = PV[tex](1 +\frac{r}{m}) ^{nm}[/tex]

From the question, FV = $10000, m = 3, n = 7 and r = 0.08.

10000 = PV[tex](1+\frac{0.08}{3}) ^{(3*7)}[/tex]

           = PV[tex](1.0267)^{(21)}[/tex]

           = 1.7391PV

PV = [tex]\frac{10000}{1.7391}[/tex]

     = 5750.1006

PV = 5750.1

The equivalent amount the she had to start with is $5750.1.

Answer 2

The equivalent amount would be as follows:

$[tex]5750.1[/tex]

Find the amount

Given that,

Present value of the principal = $10,000

Rate of interest = 8%

Time = 7 years

We know that,

The principal was compounded quarterly,

No. of quarters in 7 years = 7 × 3

= 21

So,

The Future Value = Present Value[tex](1 + r/m)^_{nm}[/tex]

⇒ 10,000 = Present Value [tex]( 1 + 0.08/3)^{21}[/tex]

Present Value [tex]= 10,000/1.7391[/tex]

[tex]=[/tex] $[tex]5750.1[/tex]

Thus, $[tex]5750.1[/tex] is the correct answer.

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Related Questions

evine Company uses the perpetual inventory system. Apr. 8 Sold merchandise for $4,500 (that had cost $3,326) and accepted the customer's Suntrust Bank Card. Suntrust charges a 4% fee. 12 Sold merchandise for $4,600 (that had cost $2,981) and accepted the customer's Continental Card. Continental charges a 2.5% fee. Prepare journal entries to record the above credit card transactions of Levine Company. (Round your answers to the nearest whole dollar amount.)

Answers

Answer:

Levine Company

Journal Entries:

April 8:

Debit Cash Account (Suntrust Credit Card) $4,320

Debit Credit Card Expense $180

Credit Sales Revenue $4,500

To record the sale of goods via Suntrust Credit Card and the 4% fee.

Debit Cost of Goods Sold $3,326

Credit Inventory $3,326

To record the cost of goods sold.

April 12:

Debit Continental Credit Card $4,485

Debit Credit Card Expense $115

Credit Sales Revenue $4,600

To record the sale of goods via credit card and the 2.5% fee.

Debit Cost of Goods Sold $2,981

Credit Inventory $2,981

To record the cost of goods sold.

Explanation:

The journal entries record the sales transactions as they occur.  Cash is debited with the net amount received after deducting the credit card expenses, while the sales revenue account is credited with the full value of the sales transaction.  Since Levine Company uses the perpetual inventory system, the transactions are debited to the cost of goods sold and credited to the inventory account for the costs.

On November 1, Alan Company signed a 120-day, 9% note payable, with a face value of $24,000. Alan made the appropriate year-end accrual. What is the journal entry as of March 1 to record the payment of the note assuming no reversing entry was made

Answers

Answer: P;ease see answers in explanation column

Explanation:

Interest payable  = Principal x rate  x time(period)

= $24,000 x 9% x  60/360 ( Number  of days from Nov to Dec 31 )

=$360

Interest expense=  Principal x rate  x time(period)

$24,000 x 9% x  60/360 ( Number  of days from Jan to Feb 31 )

$360

Date accounts & explanation   Debit               credit

Mar 1    Notes payable                  $24,000  

Interest payable                                    $360  

Interest expense                                     $360  

Cash                                                                          $24,720

The journal entry as of March 1 to record the payment of the note assuming no reversing entry was made is:

Alan Company Journal entry

March 1

Debit Notes Payable $24,000

Debit Interest Payable $360

($27,000×9%×60/360)

Debit Interest Expense $360

($27,000×9%×60/360)

Credit Cash $24,720

($24,000+$360+$360)

(To record payment of note)

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Suppose you invest $20,000 by purchasing 200 shares of Abbott Labs (ABT) at $50 per share, 200 shares of Lowes (LOW) at $30 per share, and 100 shares of Ball Corporation (BLL) at $40 per share. The weight on Abbott Labs in your portfolio is:

Answers

Answer:

Investment

The weight on Abbott Labs' investment in the portfolio is:

50%

Explanation:

Investments made by the investor are:

200 shares of Abbott Labs (ABT) at $50 per share =      $10,000

200 shares of Lowes (LOW) at $30 per share =               $6,000

100 shares of Ball Corporation (BLL) at $40 per share =  $4,000

Total investments (Portfolio) = $20,000

Investments            Weights of investments            % Weight

Abbott Labs           $10,000/$20,000 * 100 =               50%

Lowes (LOW)          $6,000/$20,000 * 100 =               30%

Ball Corporation (BLL)  $4,000/$20,000 * 100 =         20%

What Freedoms are NOT in the First Amendment?
Right to Bear Arms
Right to Free Enterprise
Right to a speedy and public trial
All of the above
None of the Above

Answers

None of the above , Bear arms is in the 2nd so that already makes all of the above not the answer

John has $20 to spend on potato chips (X) and pretzels (Y). The price of a bag of potato chips is $4 and the price of a bag of pretzels is $2.5. How much is the market rate of substitution?

a. 0.625
b. 5
c. 8
d. 1.6

Answers

Answer:

1.6

Explanation:

The Market Rate of Substitution: The rate at which one good can be exchanged for another at current market prices. The Market Rate of Substitution for X with Y. The amount of Y which must be given up in order to get one more unit of X, given a fixed budget and market price .

DATA

Price of bag of potato chips = $4

Price of bag of pretzels = $2.5

Solution

Market rate of substitution = MUx / MUy = Px / Py

Market rate of substitution = 4 / 2.5

Market rate of substitution = 1.6

All things being equal except the ratio of fixed assets to long-term liabilities, a lender would prefer to lend to a company whose ratio is:

Answers

Answer: d. 3.5

Explanation:

The Fixed assets to long-term liabilities ratio is used to check how much of a company's debt can be covered by its fixed assets because fixed assets can be sold to recover the debt if need be.

It is calculated by dividing the fixed assets by the long-term labilities of the company and in general, the higher this ratio, the better. The highest from the options is 3.5 so that is the answer.

The balances of certain accounts of Brittany Corporation on April 30, 2019, were as follows: Sales $ 220,000 Sales Returns and Allowances $ 2,000 The firm’s net sales are subject to a 6 percent sales tax. Prepare the general journal entry to record payment of the sales tax payable on April 30, 2019.

Answers

Answer:

Sales tax = (Sales - Returns and Allowances ) * Sales tax rate

= (220,000 - 2,000) * 6%

= $13,080

April 30  DR Sales Tax Payable                                    $13,080

                     CR Cash                                                                    $13,080

              (To record payment of Sales tax payable)

If we have information about workers' marginal products, then total and average product can be found by

Answers

Answer:

Summing the marginal values to find the total and dividing it by the number of workers to get the average.

Explanation:

As we know that the marginal product of labor would be the extra amount of the product that is received by adding one or more labor in the process of the production. Now if we add the marginal amounts so we can get the total product

Also the average product could be determined by dividing the total product by its number of workers

Therefore the above is the answer

March 11 Dexter determines that it cannot collect $8,100 of its accounts receivable from Leer Co. 29 Leer Co. unexpectedly pays its account in full to Dexter Company. Dexter records its recovery of this bad debt. Prepare journal entries to record the above transactions.

Answers

Answer and Explanation:

The journal entries are shown below:

On Mar 11

Bad debt expense $8,100

         To Account receivable $8,100

(Being bad debt expense is recorded)

On Mar 29

Account receivable Dr $8,100

       To bad debt expense $8,100

(Being written off amount is recorded)

On Mar 29

Cash Dr $8,100

      To account receivable $8,100

(Being collection is recorded)

Wayne Co. had a decrease in deferred tax liability of $20 million, a decrease in deferred tax assets of $10 million, and an increase in tax payable of $100 million. The company is subject to a tax rate of 40%. The total income tax expense for the year was: Group of answer choices

Answers

Answer: $90 million

Explanation:

From the question, we are informed that Wayne Co. had a decrease in deferred tax liability of $20 million, a decrease in deferred tax assets of $10 million, and an increase in tax payable of $100 million and that thee company is subject to a tax rate of 40%.

Based on the information above, the total income tax expense for the year will be:

= Increase in tax payable + Decrease in defered asset - Decrease in defered tax liability

= $100 + $10 - $20

= $90 million

A potential buyer should avoid starting negotiations with automobile sales staff by establishing ______.

Answers

Answer: their affordable monthly payment

Explanation:

A potential buyer should avoid starting negotiations with automobile sales staff by establishing their affordable monthly payment.

When someone is talking with a car salesman, the person should avoid discussing the payment that he or she can afford. When one discloses their affordable monthly payment at first, this could end up having a negative effect on them as the salesperson could take advantage of the monthly payment offered if it's higher than what the sales person wanted to offer.

Parkway Void Co. issued 17-year bonds two years ago at a coupon rate of 8.6 percent. The bonds make semiannual payments. If these bonds currently sell for 110 percent of par value, what is the YTM

Answers

Answer:

7.48 %

Explanation:

Lets first assume that the par value on this Bond is $100.

Then, we would calculate the Yield to Maturity as

PV = $100 × 110% = - $110

N = 15 × 2 = 30

P/yr = 2

Pmt = ($100 × 8.6 %) ÷ 2 = $4.30

FV = $100

YTM = ?

Using a financial calculator to input the values as above, the Yield to Maturity of this Bond will be 7.48 %

In England the price of gasoline averages $1.03 around per liter. Using unit analysis, calculate the cost of gasoline in England in dollars per gallon.

Answers

Answer:

$3.90 dollars

Explanation:

Ok, let's assume that the $1.03 are dollars since it is using the cash symbol for dollar and not pounds which is £. Since we also know that there are 3.78541 liters in a gallon, we can use all three of these values using the three-way rule to find the amount a gallon of gasoline would cost which would be represented by x

$1.03   <==========>    1 liter

    x      <==========>  3.78541 liters

(3.78541 * 1.03) / 1 liter = x

3.898 / 1 liter = x

$3.90 = x

Therefore, we can see now that a gallon of gasoline would cost roughly $3.90 dollars.

Prices of zero-coupon bonds reveal the following pattern of forward rates: Year Forward Rate 1 6 % 2 8 3 9 In addition to the zero-coupon bond, investors also may purchase a 3-year bond making annual payments of $50 with par value $1,000. a. What is the price of the coupon bond?

Answers

Answer:

$900.83

Explanation:

the price of the zero coupon bonds are:

maturity              price

1                          $943.40

2                         $857.34

3                         $772.18

the price of the coupon bond:

(coupon x price of 1 year bond) + (coupon x price of 2 year bond) + [(maturity value + coupon) x price of 3 year bond] = ($50 x 0.9434) + ($50 x 0.85734) + ($1,050 x 0.77218) = $900.83

QUESTION 6 ___________ create and maintain consistent data processing methods and an integrated database across multiple business functions. Logistics information systems (LIS) Enterprise systems Decision support systems Transaction processing systems

Answers

Answer:

Enterprise Systems

Explanation:

This question has the characteristics of an enterprise system. It helps in planning the resources of an organization. It also provides solution to an integrated business. They are large software systems which are able to track and control every of the complex operations of a business. It makes jobs easier for both managers and also employees.

The Victor Company sells two products. The following information is provided: Product A Product BUnit selling price$100 $150 Unit variable cost$30 $70 Number of units produced and sold 20,000 60,000 What is the weighted average contribution margin per unit?
A. $75.00
B. $80.00
C. $77.50
D. $72.50

Answers

Answer:

Weighted average contribution margin= $77.5

Explanation:

Giving the following information:

Product A Product B

Unit selling price $100 $150

Unit variable cost $30 $70

Number of units produced and sold 20,000 60,000

First, we need to determine the sales proportion:

Product A= 20,000/80,000= 0.25

Product B= 0.75

To calculate the weighted-average contribution margin, we need to use the following formula:

Weighted average contribution margin= (weighted average selling price - weighted average unitary variable cost)

Weighted average contribution margin= (0.25*100 + 0.75*150) - (0.25*30 + 0.75*70)

Weighted average contribution margin= 137.5 - 60

Weighted average contribution margin= $77.5

Suppose the contribute $10 per week ($520 per year) into an interest-bearing account that earns 6% a year(compounded once per year). That's probably one less pizza per week! But if you contribute faithfully each week into this account, how much money would you have saved through the compounding of interest by the end of 15 years

Answers

Answer:

The money that should be saved at the end of 15 years is $12,103.52

Explanation:

The computation of the money that should be saved at the end of 15 years is shown below:

= A(F/A, i, N)

= 520 (F?A, 6,15)

= 520(23.2760)

= $12,103.52

hence, the money that should be saved at the end of 15 years is $12,103.52

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

The same is to be considered

Brian and Clara paid $4,350 in foreign income taxes to Mexico. Their total income was $105,000, which included $16,000 of foreign income. Their U.S. tax liability is $22,750. How much can Brian and Clara claim as foreign tax credit

Answers

Answer:

$3,467

Explanation:

Calculation for How much can Brian and Clara claim as foreign tax credit

Using this formula

Foreign tax credit=(Foreign income/Total income)×U.S. tax liability

Let plug in the formula

Foreign tax credit=($16,000/$105,000) x $22,750

Foreign tax credit=0.15238095×$22,750

Foreign tax credit= $3,467

Therefore the amount that Brian and Clara can claim as foreign tax credit will be $3,467

A bond that compounds annually has a Face Value of $1,000 and maturity of 15 years. Assume that its coupon rate is 8% and yield to maturity (YTM) is 6.12%. What is this bond’s market price?

Answers

Answer: $1181.164

Explanation:

Based on the information given in the question, the interest will be:

= $1,000 × 8%

= $1000 × 0.08

= $80

The current bond price will be calculated as:

=[$80(PVIFA 6.12%,15)] + [$1,000(PVIF 6.12%,15)]

= ($80 × 9.63655) + ($1,000 ×0.41024)

= $770.924 + $410.24

= $1181.164

The bond's bond’s market price is $1181.164

Calculate the total cost per hour to own the track dozer:

Purchase price: $550,000
Estimated salvage value $50,000
Useful life: 5 years
Annual usage: 2000 hours per year
Assume interest, insurance, and risk as 10%

Answers

Answer:

$68.45

Explanation:

initial outlay = $550,000

cash flow year 5 = $50,000

NPV = -$550,000 + $50,000/1.1⁵ = -$518,954

equivalent annual cost = NPV / PV annuity factor

PV annuity factor, 10%, 5 periods = 3.7908

equivalent annual cost = $518,954 / 3.7908 = $136,898.26

cost per hour = $136,898.26/2,000 hours = $68.45

You are offered a chance to buy an asset for $4,000 that is expected to produce cash flows of $750 at the end of Year 1, $1,000 at the end of Year 2, $850 at the end of Year 3, and $6,250 at the end of Year 4. What rate of return would you earn if you bought this asset

Answers

Answer:

The answer would be 136.64 because you would Divied then you would Add the bigger number with the smallest number.

Explanation:

A 3.125 percent TIPS has an original reference CPI of 185.1. If the current CPI is 210.4, what is the par value and current interest payment of the TIPS? (Do not round intermediate calculations and round your final answers to 2 decimal places.) Interest rate Reference CPI Current CPI 3.125% 185.1 210.4 Complete the following analysis. Do not hard code values in your calculations. Par value Interest payment.

Answers

Answer:

Par value $1,136.68

Interest payment $17.76

Explanation:

Par value or Face value is the values written on the face of security. The par value of the TIPS is directly proportional to the CPI, as CPI increases the face value of the TIPS is also increasead and vice versa.

First we need to list the available data

Original reference CPI = 185.1

Current CPI = 210.4

Standard Par value = $1,000

Use following Formula to calculate the related par value

Par Value = Standard Par value x Current CPI / Original reference CPI

Placing values in the formula

Par Value = $1,000 x 210.4 / 185.1

Par Value = $1,136.68

Now calculate the semiannual interest payment

Interest payment = Par value x Interest rate x Semiannual fraction

Placing values in the formula

Interest payment = $1,136.68 x 3.125% x 6/12

Interest payment = $17.76

what is the present value of an annuity that pays $1 at the end of each year for the next 15 years with an annual effective interest rate 6.5% g

Answers

Answer:

PV= $9.40

Explanation:

Giving the following information:

Annual payment= $1

Interest rate= 6.5%

Number of periods= 15 years

First, we need to calculate the future value using the following formula:

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

A= annual payment

FV= {1*[(1.065^15) - 1]} / 0.065

FV= $24.18

Now, the present value:

PV= FV/(1+i)^n

PV= 24.18 / 1.065^15

PV= $9.40

What are the human behavior problems that can potentially arise in the budgeting process and how to overcome them

Answers

Answer:

Some of the human behaviors which can mar the efficacy of the budgeting process are:

GamesmanshipUse it or lose it syndromeTime taken to prepareBlame game

Explanation:

Gamesmanship

Gamesmanship refers to the unethical practice by line managers to understate how much they can make within a financial period against their expenses for the same period. What this helps them to achieve is that during appraisal periods, "additional revenues" create a favorable variance which gives the team the appearance of positive performance.

This can be prevented by great oversight by the Chief Financial Officer and other members of the leadership over the budgeting process.

Use it or lose it syndrome

Toward the end of a financial period, managers authorize expenditures that are not necessarily required on the basis that their budget for the next period will be reduced if it is found that their budget for a particular period was underutilized.

This can be resolved by ensuring that departments are actually rewarded for accomplishing all their target objectives using a lower budget. HR and can work together with the accounting and finance team to achieve this.

Time taken to Prepare

In some organizations, due to internal bureacracies, it takes a very long time to come up with a budget. The best way to overcome this challenge is through the use of technology.

There are great apps such as Mint, Goodbudget, which not only helps with the budgeting process but also helps to track the spending process, recording them as the activities are carried out.

Blame game

This is the practice of projecting the problems arising from budgeting on other departments. The most common argument is that such units didn't give adequate support towards the attainment of its goals, hence the poor performance of the budget for that unit.

Greater training toward accountability can be used to correct this mentality. Also, the HR unit can build into the Key Performance Areas of the organization the section that measures the degree of accountability.

Cheers

Suppose a fast-food restaurant wishes to estimate average sales volume for a new menu item. The restaurant has analyzed the sales of the item at a similar outlet and observed the following results: __ X 500 (mean daily sales) S 100 (standard deviation of sample) n 25 (sample size) The restaurant manager wants to know into what range the mean daily sales should fall 95 percent of the time. Perform this calculation.

Answers

From the data of the other outlet, we assume that the daily sales are normally distributed with mean 500 and s.d.=100.
For a normally distributed variable, 95% of the results will be within 1.96*sd (=196 in this case) of the mean.
So the daily sales will be between 304 and 696, 95% of the days.



Can I get brainly thing?

The _______________________, also known as the Currency and Foreign Transactions Reporting Act, was created to fight drug trafficking, money laundering, and other crimes.

Answers

Answer:

Bank Secrecy Act.

Explanation:

The Currency and Foreign Transactions Reporting Act, also known as the Bank Secrecy Act is a legislation created by the United States in 1970 to prevent the misuse of banks and financial institutions by criminals. This Act authorizes banks to disclose any large transactions or transfers.

Accordingly, this Act makes it secure from banks and financial institutions from being involved in criminal activities. This in turn helps in the fight against drug trafficking, money laundering cases, and other criminal activities.

Novak Corp. purchased a piece of equipment for $52,000. It estimated a 8-year life and $2,080 salvage value. At the end of year 4 (before the depreciation adjustment), it estimated the new total life to be 10 years and the new salvage value to be $4,160. Compute the revised depreciation. Company uses straight-line depreciation method. (Round answer to 0 decimal places, e.g. 125.)

Answers

Answer:

$2,288 per year

Explanation:

We can calculate the revised depreciation to be;

• Annual depreciation charge of equipment using initial estimates

Depreciation charge = (Cost of asset - Salvage value) / Useful life

= ($52,000 - $2,080) / 8 years

= $6,240 per year

• Calculate the net book value of equipment at the end of year 4

Cost of asset

$52,000

Less: Accumulated depreciation of 4 years ($6,240 × 4)

($24,960)

Net book value

$27,040

• Calculate revised depreciation charge using the revised useful life

Revised depreciation charge = (Net book value of asset at the end of year 4 - New salvage value) / Revised useful life

= ($27,040 - $4,160) / 10 years

= $2,288 per year

"Farley Inc. has perpetual preferred stock outstanding that sells for $36 a share and pays a dividend of $2.50 at the end of each year. What is the required rate of return? Round your answer to two decimal places."

Answers

Answer:

Required rate of return = 6.944% (Approx)

Explanation:

Given:

Sale price = $36

Dividend = $2.50

Find:

Required rate of return

Computation:

Required rate of return = [Dividend/Sale price]100

Required rate of return = [2.50/36]100

Required rate of return = 6.944% (Approx)

A person has a $350 monthly car payment, which is based on 12% annual interest, compounded monthly. Determine the amount of car bought if it was financed for 60 months and no down payment was paid.

Answers

Answer: $15,734

Explanation:

The monthly interest is;

= 12%/12

= 1% per month

The Present value of the monthly payments is the cost of the car and since this is a specified periodic payment, the present value of an annuity can calculate it;

= 350 * [tex]\frac{1 - (1 + 0.01)^{-60} }{0.01}[/tex]

= 350 * 44.9550384

= $15,734

Price Quantity Demanded Quantity Supplied
$10 10 60
$8 20 45
$6 30 30
$4 40 15
$2 50 0

If the price were $8, a

a. surplus of 25 units would exist and price would tend to fall.
b. surplus of 10 units would exist and price would tend to fall.
c. shortage of 25 units would exist and price would tend to rise.
d. surplus of 50 units would exist and price would tend to fall.

Answers

Answer:

A

Explanation:

Equilibrium price is $6. At this price quantity demanded equals quantity supplied. Above equilibrium price, there would be excess supply. Below equilibrium price, there would be excess demand.

$8 is above equilibrium price, so there would be a surplus.

the surplus : 45 - 20 = 25

As a result of the surplus, prices would fall until equilibrium is restored

Other Questions
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