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Tasya [4]
3 years ago
15

Determine a and b so that figure ABCD is a parallelogram

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0

Answer:

C(8,2)

That is the answer for a and b

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How do I find the current price of a stock when the rate is not constant? Please give a formula step by step answer I'm so confu
VashaNatasha [74]

Answer:

<em>There is no affirmative formula, but this is the basics</em>

Step-by-step explanation:

<em>DDM Formula=</em>

Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)

Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.

The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.

The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.

The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: <em>Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.</em>

Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.

7 0
3 years ago
∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
Question 4 plz show ALL STEPS
scoray [572]

Part (a)

Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

g( f(-1) ) = g( 4 ) = 4

To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

<h3>Answer:  4</h3>

==========================================================

Part (b)

We use the same idea as part (a)

f(-2) = 5

g( f(-2) ) = g(5) = 6

<h3>Answer:  6</h3>

==========================================================

Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

g(1) = -2

f( g(1) ) = f(-2) = 5

<h3>Answer:   5</h3>

==========================================================

Part (d)

Same idea as part (c)

g(2) = 0

f( g(2) ) = f( 0 ) = 3

<h3>Answer:  3</h3>

6 0
3 years ago
A line goes through the points (0, -5) and (-3, -3). Find the slope, and then use the point that is the y-intercept to write the
ValentinkaMS [17]

Answer:

y = -(2/3)x - 5

Step-by-step explanation:

y-int = -5

m = rise/run

m = (-5-(-3))/(0-(-3))

m = -(2/3)

therefore,

y = -(2/3)x - 5

6 0
2 years ago
A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
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