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Cerrena [4.2K]
3 years ago
15

Properties of numbers 7(x-3)=7x-21

Business
1 answer:
Yuliya22 [10]3 years ago
4 0
This property is called the distributive property. It is when you distribute the number outside the parenthesis into the numbers and letters inside the parenthesis.

Example: 

7(x-3) = 7x-21

10(x+5+8) = 10x+50+80 = 10x +130

be sure to simplify like terms as in the example above

10 ( x²+5x³+2x²) = 10x²+50x³+20x² = 30x²+50x³

answer: 30x²+50x³

hope this helps
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A share of stock is now selling for $115. It will pay a dividend of $9 per share at the end of the year. Its beta is 1. What do
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Answer:

The expected price of the stock is $122.03

Explanation:

To calculate the expected price of the stock at the end of the year or at Year 1, we first need to determine the required rate of return on the stock. We will use the CAPM equation to calculate the required rate of return.

The required rate of return is calculated as,

r = rRF + Beta * (rM - rRF)

Where,

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r = 0.05 + 1 * (0.14 - 0.05)

r = 0.14

We already have the price of the stock today, the D1 and the required rate of return. Using the constant dividend growth model of DDM, we calculate the growth rate in dividends to be,

P0 = D1 / (r - g)

115 = 9 / (0.14 - g)

115 * (0.14 - g)  =  9

16.1 - 115g  =  9

16.1 - 9 = 115g

7.1 / 115 = g

g = 0.0617 or 6.17%

Using the same formula and replacing D1 with D2, we can calculate the price of the stock at the end of the year or at start of Year 1.

P1 = 9 * (1+0.0617)  /  (0.14 - 0.0617)

P1 = $122.03

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A professional email based on the given scenario would sound like the following:

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<em>Regards,</em>

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Thus, while the email sounds professional, it may be more conversational than formal since it is a workplace request.

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