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AURORKA [14]
4 years ago
11

On a whim, you purchased a scratch-off lottery ticket at the gas station. it must have been your lucky day because you won $2,50

0,000. being logical and rational you decide to invest the money at 3% for 14 years until you are ready to start a family. at the end of 14 years, how much will your investment be worth?
Business
1 answer:
jok3333 [9.3K]4 years ago
3 0

Answer: The winnings of $2,500,000 will grow to $3,781,474.31 if it is invested at 3% for 14 years, compounded annually.

Assuming that I'm logical and rational, I will invest the $2,500,000 at 3% for 14 years in an instrument that gives me compound interest that is compounded annually, as that will give me more money as compared to investing at simple interest.

We use the following formula to determine the Future Value of an investment:

FV = PV * (1+r)^{n}

where

FV = Future Value of an investment

PV = Present Value of an investment or amount invested

r = rate of interest per period

n = number of compounding periods for which the money is invested.

Since interest is compounded annually, the number of compounding periods is 14.

Substituting the values from the question in the equation above we get,

FV = 2500000 * (1+0.03)^{14}

FV = 3781474.31

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A growing perpetuity is currently valued $6,225.81. The next annuity payment will be $386 and the discount rate is 9 percent. Wh
viva [34]

Answer:

2.8%

Explanation:

The formula to calculate value of a perpetuity is as follow:

V = Annuity payment in year 1 / (r-g)

V: Value of the perpetuity

r: Discount rate

g: Growth rate (missing value)

By inputting numbers into the formula, we have:

6225.81 = 386 / (0.09 - g)

--> g = 2.8%

3 0
3 years ago
Given the following, calculate total manufacturing costs: Direct materials: $40,000; Direct labor: $100,000; Manufacturing overh
vfiekz [6]

Answer:

cost of goods manufactured= $278,000

Explanation:

Giving the following information:

Direct materials: $40,000

Direct labor: $100,000

Manufacturing overhead applied: $120,000

Beginning Work in process inventory: $30,000

Ending Work in process inventory: $12,000

<u>To calculate the total manufacturing costs, we need to use the following formula:</u>

cost of goods manufactured= beginning WIP + direct materials + direct labor + allocated manufacturing overhead - Ending WIP

cost of goods manufactured= 30,000 + 40,000 + 100,000 + 120,000 - 12,000

cost of goods manufactured= $278,000

4 0
3 years ago
Motors is a chain of car dealerships. Sales in the fourth quarter of last year were $4,600,000. Suppose management projects that
MariettaO [177]

Answer:

<u>Budgeted Income Statement for each of the four quarters and for the entire year</u>

Quarter                        1st                    2nd                3rd                  4th

Sales                     $4,738,000    $5,069,660    $5,323,143     $5,536,069

Cost of Sales       ($2,132,100)     ($2,281,347)  ($2,395,414)     ($2,491,231)

Gross Profit          $2,605,900     $2,788,313    $2,927,729     $3,044,838

Operating Costs  ($1,421,400)    ($1,520,898)  ($1,330,786)      ($1,107,214)

Operating Profit    $1,184,500      $1,267,415     $1,596,943      $1,937,624

Explanation:

Pay attention to the calculation of the following amounts :

  1. Sales - These are based on increments per quarter
  2. Cost of Sales - The Cost for quarter is at 45% of Revenue
  3. Operating Costs - Based on Sales amounts ( 30 % in the first two quarters , 25% in third and 20% in the 4th quarter.)
6 0
3 years ago
reventive action ____________. a. realigns the performance of the project work with the project management plan b. seeks to ensu
torisob [31]

Answer:

The correct answer is letter "B": seeks to ensure the future performance of the project work is aligned with the project management plan.

Explanation:

Preventive actions are defined as those that aim to mitigate risks inherent in the operations of a business. Preventive actions lead to entities creating contingency plans that allow them to have certain strategies in front of unexpected situations that could harm the firm's operations.

<em>The project risk management plan is the reference that prevention actions take at the moment of recognizing the set of activities that should be followed to ensure the optimal future performance of a project.</em>

8 0
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On January 2, 2019, Denny Corp. enters into five-year finance lease for machinery with annual year-end payments of $15,000. The
butalik [34]

Answer:

On January 2, 2019, Denny Corp. enters into five-year finance lease for machinery with annual year-end payments of $15,000. The present value of the six annual lease payments is $65,000. Complete the necessary journal entry by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns. View transaction list Journal entry worksheet On January 2, 2019, Denny Corp. enters into five-year finance lease for machinery with annual year-end payments of $15,000. The present value of the six annual lease payments is $65,000. Note: Enter debits before credits. General Journal Debit Credit Date Jan. 2 Record entry Clear entry View general journal

Explanation:

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7 0
4 years ago
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