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
Leviafan [203]
2 years ago
10

An existing electrical power line needs to have its capacity increased, and this can be done in either of two ways. The first me

thod is to add a second conductor to each phase wire using the same poles, insulators and fittings, at a construction cost of $15,000. The second method for increasing capacity is to build a second line parallel to the existing line, using new poles, insulators and fittings, at a construction cost of $23,000. At some time in the future, the line will require another increase in capacity, with the first alternative now requiring a second line at a cost of $32,500, and the second alternative requiring added conductors at a cost of $23,000. If interest rate is 6%, how many years between the initial expenditure and the future expenditure will make the two methods economically equal
Business
1 answer:
nekit [7.7K]2 years ago
3 0

Answer:

3 years

Explanation:

<u>First method</u>

The PV of the investment can be written as:

PV1 = $15,000 + $32,500/(1+0.06)^n

<u>Second method</u>

The PV of the investment can be written as:

PV2 = $23,000 + $23,000/(1+0.06)^n

After n years both projects will be economically equal. Hence their present value must be equal PV1 = PV2

$15,000 + $32,500/(1.06)^n = $23,000 + $23,000/(1.06)^n

$23,000 - $15,000 = $32,500/(1.06)^n - $23,000/(1.06)^n

$8,000 = $9,500/(1.06)^n

(1.06)^n = $9,500/$8,000

(1.06)^n = 1.1875

Taking log on both sides we get:

nlog1.06 = log 1.1875

n = log 1.1875/log 1.06

n = 0.07463361829/0.02530586526

n = 2.94926166417121

n = 3

So, the answer is 3 years

You might be interested in
Fashion, Inc. had a Retained Earnings balance of $16,000 at December 31, 2021. The company had an average income of $6,500 over
avanturin [10]

Answer:

Total amount of dividends paid over the last three years is $20500

Explanation:

The net income of the company is either retained in the company or paid out as dividends. To calculate the value of the ending retained earnings, we use the following formula,

Ending balance = Beginning balance + Net Income - Dividends

We first need to calculate the total net income for the 3 year period. The total net income for the 3 year period is, 3 * 6500 = $19500

Plugging in the available values for the ending and beginning balance of retained earnings and net income, we can calculate the value of total dividends paid for the three year period.

15000 = 16000 + 19500 - Dividends

Dividends = 35500 - 15000

Dividends = $20500

4 0
2 years ago
Greg, a landscaper, is planning on opening his own landscaping company. He currently earns $50,000 per year working for his uncl
schepotkina [342]

Answer: $52,840

Explanation:

The opportunity cost are the benefits he will give up to pursue his current venture of landscaping.

= Salary from working for uncle + Interest on the Savings to be used in business + Difference in market value if he waits till the end of the year

= 50,000 + (7% * 12,000) + (12,000 - 10,000)

= $52,840

7 0
2 years ago
Career skills refer to the complicated tasks performed on the job <br><br> T or F
aksik [14]
The answer is  fales hope i helped
3 0
3 years ago
Read 2 more answers
You are the manager of a firm that receives revenues of $40,000 per year from product X and $90,000 per year from product Y. The
Novosadov [1.4K]

Answer:

Have a good day today! You got this :)

7 0
2 years ago
Show your work and explain in a full sentence how 4 2-6 is equivalent to 3 8-6.
klemol [59]

Answer:

4\frac{2}{6} = 3\frac{8}{6} = \frac{26}{6}

Explanation:

Given

4\frac{2}{6} and 3\frac{8}{6}

Required

Show that they are equivalent

To do this, we simply convert both fractions to either decimal or improper fraction

Using improper fraction

4\frac{2}{6} = \frac{6 * 4 + 2}{6}

4\frac{2}{6} = \frac{24 + 2}{6}

4\frac{2}{6} = \frac{26}{6}

3\frac{8}{6} = \frac{6 *3+8}{6}

3\frac{8}{6} = \frac{18+8}{6}

3\frac{8}{6} = \frac{26}{6}

After converting both to improper fraction, we have:

4\frac{2}{6} = 3\frac{8}{6} = \frac{26}{6}

<em>Hence, both are equivalent</em>

3 0
2 years ago
Other questions:
  • What is the main job of the president of the us?
    15·2 answers
  • A company’s past experience indicates that 60% of its credit sales are collected in the month of sale, 30% in the next month, an
    15·1 answer
  • Speical Order Soni, LTD produces wall mounts for flat panel television sets. The forecasted income statement for 2017 is as foll
    6·1 answer
  • Capital One is advertising a 60-month, 5.99% APR motorcycle loan. If you need to borrow$8000 to purchase your dream Harley David
    9·1 answer
  • What is the base of Selection Process?
    6·1 answer
  • In a small, closed economy, national income (GDP) is $ 600.00 million for the current quarter. Individuals have spent $ 250.00 m
    5·1 answer
  • Answer the question in the pic.
    6·2 answers
  • [The following information applies to the questions displayed below.]
    7·1 answer
  • The Weston Corporation is analyzing projects A, B, and C as possible investment opportunities. Each of these projects has a usef
    11·1 answer
  • Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P = 123 - 3Q. The total cost function f
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!