1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
meriva
3 years ago
7

The value of an investment increases by x% during January and decreases by y% during February. If the value of the investment is

the same at the end of February as at the beginning of January, what is y in terms of x ?
Business
1 answer:
RSB [31]3 years ago
8 0

Answer:

y in terms of x would be:

y = 100 - 10,000 / (100 +x)

Explanation:

Let us assume the investment amount is 100

And let x is equal to 25 and y is equal to 20

So, there is increase in January

= 100 + 25% × 100

= 100 + 25

= 125

In order to decrease, it is to be back down to 100 in February, y =20

= 125 - 20% × 125

= 125 - 25

= 100

Therefore, in order to check that the value of y is correct or not, which we assumed. We will plug

x = 25 into the equations:

= 100 - 10,000 / (100 + x)

= 100 - 10,000 / (100 + 25)

= 100 - 10,000 / 125

= 100 -80

= 20

Therefore, this equation is right.

Note: Options are not given so providing the direct answer.

You might be interested in
Suppose a market is initially perfectly competitive with many firms selling an identical product. Over time, however, suppose th
Alinara [238K]

Answer:

a decrease in market output and an increase in the price of the product.

Explanation:

7 0
3 years ago
you invest $1300 in an account at interest rate r, compounded continuously. Find the time required for the amount to double and
miskamm [114]

Answer:

  • 1. <em>For the amount to double</em>: <u>9.37 years</u>
  • 2. <em>For the amount to triple</em>: <u>14.85 years</u>

Explanation:

The equation for continuosly compounded interest is:

  • F=P\times e^{rt}

Where:

  • P is the amount that you invest today: $1,300
  • F is the value after t years: the double or triple of $1,300
  • r is the annual interest rate: 0.074

<u>1. For the amount to double:</u>

Substitute the values and solve for t:

             2\times \$1,300=\$1,300\times e^{0.074t}\\ \\ 0.074t=\ln 2\\ \\ t=\ln 2/0.074=9.37years

<u>2. For the amount to triple:</u>

<u />

            3\times \$1,300=\$1,300\times e^{0.074t}\\ \\ 0.074t=\ln 3\\ \\ t=\ln 3/0.074=14.85years

4 0
3 years ago
Emily Turnbull, president of Aerobic Equipment Corporation, is concerned about her employees’ well-being. The company offers its
sweet-ann [11.9K]

Answer:

1. Salary expense = $2,300,000

Withholdings = $494,500

Salary payable = $1,805,500

2. Total fringe benefits = $185,150

3. Payroll tax = $494,500

Explanation:

1. Employee salary expense is given as $2,300,00

Withholdings is given as $494,500. This is the sum total of federal and state FICA taxes and unemployment tax.

Salaries payable is employee salary expense less withholdings.

Salaries payable = 2,300,000 - 494,500

= $1,805,500

2. Employer-provided fringe benefits includes medical insurance, dental insurance, life insurance and voluntary retirement plan contribution. The corporation matches employee contributions to a voluntary retirement plan up to 6% of their salaries and employee contribution to voluntary retirement plan is $115,000. Since this amount is 5% of salaries, the corporation will contribute an equal amount.

Medical insurance premiums paid by employer = $46,000

Dental insurance premiums paid by employer = $16,100

Life insurance premiums paid by employer = $8,050

Employer contribution to voluntary retirement plan = $115,000

Total fringe benefits = $185,150

3. Employer payroll taxes includes Federal and state FICA taxes and unemployment tax.

Federal FICA tax (rate of 7.65%) = (7.65/100) * 2300000 = $175,950

State FICA tax (rate of 7.65%) = (7.65/100) * 2300000 = $175,950

Unemployment tax (rate of 6.20%) = (6.20/100) * 2300000 = $142,600

Total pay roll tax = 175950 + 175950 +142600

= $494,500

8 0
3 years ago
The Terme Corporation is contemplating the purchase of new equipment, which may potentially increase revenues by 25%. Currently,
vekshin1

Answer:

The increase in gross profit is  $12,374.93

Explanation:

The increase in sales due to purchasing this new equipment is 25% of current sales figure of $750,000

increase in sales=$750,000*25%=$187,500

variable cost on the increase in sales is 55%=$187500 *55%=$103,125

The annual depreciation charge on the new equipment=cost of the new equipment-salvage value/useful life

cost of the new equipment is $357,500.37

salvage value is $0

useful life of the new equipment is 5 years

annual depreciation charge=($357,500.37-$0)/5=$ 71,500.07  

Increase/(decrease) in annual gross profit=$187,000-$103,125-$ 71,500.07  =$12,374.93  

4 0
3 years ago
The advertising department for the Pennzoil Corporation is working on a print advertisement for a new product. At this point, th
Feliz [49]

Answer:

C) signature

Explanation:

In marketing, signature refers to the identification of the advertisement's sponsor, i.e. the advertisement is paid for by whom. Generally if you see and advertisement for Coke, you can assume that the advertisement sponsor was the Coca Cola company, but other times advertisements are not that direct and straight forward.

But even in Coke ads, the sponsor must be identified, that is why the signature is necessary and it is generally placed in the bottom part of the ad written in a very small letter.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Esquire Company needs to acquire a molding machine to be used in its manufacturing process. Two types of machines that would be
    8·1 answer
  • Suppose that Katy sells egg rolls. The total cost of production, based on the number of egg rolls produced, is shown in the foll
    6·1 answer
  • What is not part of maturity?
    14·2 answers
  • Stewart Corporation manufactures solar powered calculators. The company can manufacture 1,120,000 calculators a year at a variab
    10·1 answer
  • Sweeties, Inc., manufactures a sugar product by a continuous process, involving three production departments-Refining, Sifting,
    9·1 answer
  • I WILL GIVE BRAINLY!! 20 POINTS!! Which career worker installs, maintains, and repairs equipment used for communication? !!Selec
    11·2 answers
  • The Federal Reserve buys $38.00 million in Treasury securities. If the required reserve ratio is 30.00%, and all currency is dep
    12·1 answer
  • Jazz Corporation receives management consulting services from its 90 percent owned subsidiary, Laker Inc. During 20X7, Jazz paid
    10·1 answer
  • It costs a company $14 of variable costs and $6 of fixed costs to produce product Z200 that sells for $30. A foreign buyer offer
    11·1 answer
  • heliot company operates its business in state h, which levies a 6 percent sales and use tax. this year, heliot purchased a $600,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!