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katovenus [111]
3 years ago
13

1. Assume you buy 100 shares of stock at a price of $63.75 per share and incur brokerage fees of $200. You own the stock for 5 y

ears and receive dividends of 50 cents per share at the end of each quarter. Immediately after receiving the 20th quarterly dividend, you sell the stock at a price of $48.63 per share and incur brokerage fees of $200. Calculate your rate of return. (IRR)
2. You own a thriving restaurant but want to change careers. Your brother offers to buy the business with the following monthly payments: $2,750 at the end of each month for 4 years, followed by $3,000 at the end of each month for 3 years. Assuming that you can earn 9% compounded monthly, what is the equivalent cash price of your brother’s offer? (NPV)

Mathematics
1 answer:
sdas [7]3 years ago
3 0
1. Your cash flow is as follows.
  initial outlay: $63.75*100 +200.00 = $6575
  quarterly dividend: $0.50*100 = $50 . . . for 19 quarters
  income from sale: $48.63*100 -200.00 +50.00 = $4713
A suitable financial calculator computes the IRR as -3.23% per year.


2. Your cash flow is as follows.
  initial income/outlay: 0
  monthly income: $2750 . . . for 48 months
  monthly income: $3000 . . . for 36 months
  applicable interest rate: .09/12 = 0.0075 . . . per month
A suitable financial calculator computes the NPV as $176,415.70.

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Please help me <br> Show your work <br> 10 points
Svet_ta [14]
<h2>Answer</h2>

After the dilation \frac{5}{3} around the center of dilation (2, -2), our triangle will have coordinates:

R'=(2,3)

S'=(2,-2)

T'=(-3,-2)

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

(x,y)→(x-2, y+2)

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor \frac{5}{3}. Therefore our second partial rule will be:

(x,y)→\frac{5}{3} (x-2,y+2)

(x,y)→(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

(x,y)→(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)

(x,y)→(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:

R=(2,1)

R'=(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

R'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(1)+ \frac{4}{3})

R'=(\frac{10}{3} -\frac{4}{3} ,\frac{5}{3}+ \frac{4}{3})

R'=(2,3)

S=(2,-2)

S'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

S'=(\frac{10}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

S'=(2,-2)

T=(-1,-2)

T'=(\frac{5}{3} (-1)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

T'=(-\frac{5}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

T'=(-3,-2)

Now we can finally draw our triangle:

8 0
3 years ago
The graph shows the number of chairs made in a factory during one day .
GaryK [48]

Answer:

C) the factory produces 25 chairs per hour

                     

Step-by-step explanation:

Let's find the rate of change (slope):  

let:\\(x1,y1) =(2,50)\\(x2,y2)=(4,100)\\m=\frac{100-50}{4-2} =\frac{50}{2} =25 \\

7 0
3 years ago
2x2 - 12x + 10<br>what are the roots​
Tcecarenko [31]

Answer:

5 & 1

Step-by-step explanation:

We can use the quadratic formula to solve this:

Quadratic Formula = \frac{-b+-\sqrt{b^2-4ac} }{2a}

So we will have 2 answers (roots).

a is the coefficient of x^2 (2)

b is the coefficient of x (-12)

c is the constant (10)

Now, substituting, we get:

x = \frac{-b+-\sqrt{b^2-4ac} }{2a}=\frac{12+-\sqrt{(-12)^2-4(2)(10)} }{2(2)}=\frac{12+-\sqrt{64} }{4}=\frac{12+-8}{4}=\frac{12+-8}{4}=5,1

Hence the roots are 5 & 1

4 0
3 years ago
The perimeter of a rectangular field is 26 yards. The length is 4 more yards than twice the width. Find the length and width of
solong [7]

The formula for perimeter is P = 2length + 2width (P = 2L + 2W)

You know that the length is 4 more yards then twice the width. In equation form this would be:

length = 4 + 2w

Plug what you know into the perimeter formula:

26 = 2(4 + 2w) + 2w

First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...

26 = (2 * 4) + (2 * 2w) + 2w

26 = 8 + 4w + 2w

Now you must combine like terms. This means that first numbers with  the same variables (w) must be combined...

26 = 8 + 4w + 2w

4w + 2w = 6w

26 = 8 + 6w

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

26 - 8 = 8 - 8 + 6w

18 = 0 + 6w

18 = 6w

To isolate w divide 6 to both sides

18 / 6 = 6w / 6

w = 3

We know that the width is 3 ft

Now you must find the length. To do this plug 3 where you see w in the equation:

length = 4 + 2w

l = 4 + 2(3)

l = 4 + 6

l = 10

We know that length is 10 ft

Letter B. is the correct answer

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Find the volume of this prism.<br><br><br><br>pls ;( ​
Ad libitum [116K]

Answer:

Go to google and write how to find a volume of a prism

Step-by-step explanation:

By the way what i am going to say is a small tip you can use

Go to google write ( quizlet) and you can write the name of your book the volume and the chapter rand the lesson believe me you will find what you want

If you didn't find the answers you can talk with me so i can give other programs because i have want to help you

3 0
3 years ago
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