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Brilliant_brown [7]
3 years ago
6

Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation $V = IZ$, $V$ is voltage, $I

$ is current, and $Z$ is a value known as impedance. If $V = 1-i$ and $Z=1+3i$, find $I$. Express your answer as a complex number in the form $a+bi$, where $a$ and $b$ are real numbers
Business
1 answer:
myrzilka [38]3 years ago
6 0

Answer: I=-1/5-2/5i

Explanation: V=IZ

1-i=I(1+3i)

Make I subject

I=(1-i)/(1+3i).

multiply numerator and denominator by conjugate( 1-3i).

The denominator will become

1-9*i^2=1+9=10.

The numerator will be expanded to be 1-3i-i+(3i)^2=1-4i-3=-2-4i.

This is I= (-2-4i)/10

divide numerator and denominator by -2. We have:

I=-(1+2i)/5

I=-1/5-2/5i

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The following data pertains to Michalko Corp. Assuming that the risk-free rate is 4.2% and the market risk premium is 6.2%, calc
Artemon [7]

Answer:

Michalko's weighted-average cost of capital is 9.65 %.

Explanation:

Weighted Average Cost of Capital (WACC) is the return that is required by providers of Long term sources of finance.

WACC = Ke x (E/V) + Kp x (P/V) + Kd x (D/V)

Therefore,

Ke = Cost of Equity

     = Return on Risk free Security + Beta x (Return on Market Portfolio -       Return on Risk free Security)

     = 4.2% + 1.25 × 6.2%

     = 11.95 %

E/V = Market Weight of Equity

      = $25,700/ ($25,700 + $19,100)

      = 0.57

Kd = Cost of Debt

  = Market Interest x ( 1 - tax rate)

  = 11% × (1 - 0.40)

  = 6.60 %

D/V = Market Weight of Debt

      = $19,100/($25,700 + $19,100)

      = 0.43

Thus,

WACC = Ke x (E/V)  + Kd x (D/V)

           = 11.95 % × 0.57 + 6.60 % × 0.43

           = 9.65 %

5 0
3 years ago
Diamond Enterprises is considering a project that will produce cash inflows of $41,650 a year for three years followed by $49,00
Anton [14]

Answer:

-8.42%

Explanation:

The internal rate of return on this project can be computed using IRR function in excel spreadsheet as follows:

=IRR(values)

values represent the cash flows arranged from the earliest(year zero cash outflow of -$219000) to the latest( year 4 cash flow which is $49,000) as shown in the attached

IRR=-8.42%

At IRR , the NPV=0

NPV=-$219000+$41650/(1-8.42%)^1+$41650/(1-8.42%)^2+$41650/(1-8.42%)^3+$49000/(1-8.42%)^4=$0

Download xlsx
6 0
3 years ago
Jessica is a U.S. Army Reservist and in 2020 traveled 130 miles each way to serve duty at a local military installation. She was
Zepler [3.9K]

Answer:

AGI Deduction = 580.8 US dollars.

Explanation:

Solution:

Data Given:

Miles traveled = 130 miles

Reporting Period = 4 times in 2020

Cost from home to base = $1.75 toll each way.

Jessica's for AGI deduction for these costs is:

First, we need to find the travel amount:

Travel amount = Miles x Reporting Period x 2 x Mileage rate for deduction

Here, mileage rate for deduction = 0.545 per mile. So,

Travel Amount = 130 miles x 4 times x 2 x 0.545

Travel Amount = 566.8 US dollars.

Now, we need to find the Jessica's Toll Expenses.

Toll Expenses = 1.75 x 2 x 4 times

Toll Expenses = 14 US dollars.

Finally, we can find the required AGI Deduction:

AGI Deduction = Travel Amount + Toll Expenses.

AGI Deduction = 566.8 US dollars + 14 US dollars

Hence, Jessica's AGI deductions are:

AGI Deduction = 580.8 US dollars.

3 0
3 years ago
Harmon recently quit his job that he had worked at for the past 10 years in
Leviafan [203]

Answer:

d. Harmon only needs to show the bank his record of income from

his old job, not his new business.  

5 0
3 years ago
JeMarcus is going to sell sporting apparel, which he has already purchased from manufacturers, and has signed a deal agreeing to
Butoxors [25]

Answer:

Place is the correct answer.

Explanation:

8 0
3 years ago
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