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3 years ago

11

Lina owns 300 shares of General Motors Company. She receives annual dividends of $0.54 per share. How much will she received in

dividend payments? *

1 answer:

Papessa [141]3 years ago

5 0

Answer:

The total payment is $162.00

Step-by-step explanation:

Take the number of shares time the amount per share

300 * .54

162

The total payment is $162.00

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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

7 0

3 years ago

Two stores are having a sale on T-shirts.Rose spends $63 for three T-shirts from store A and one from store B. Manny spends $140

Digiron [165]

Let a and b be store A and store B, respectively. Then:
3a+b=63
5a+4b=140
So
12a+4b=252
5a+4b=140
7a=112
a=16
b=15
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3 years ago

J = K (1+ p/100) make p as a subject

olganol [36]

Answer:

p = 100(J/K - 1)

Step-by-step explanation:

When we want to make a variable the subject of an equation, we want to get that variable by itself on one side of the equation - to unwrap it from all the operations attached to it.

Here's what the process looks like for p:

$J=K(1+p/100)\\J/K=1+p/100\\J/K-1=p/100\\p=100(J/K-1)$

8 0

3 years ago

dangina [55]

Answer:

a) x =3 and x=5

c) x =-1 and $x = \frac{-7}{3}$

i) x =0 and $x = \frac{-9}{2}$

Step-by-step explanation:

a)

Given that the quadratic equation

x² - 8x +15 =0

The factors of 15 = 5 × 3

x² - 5x -3x +15 =0

x(x -5) -3(x-5) =0

(x-3)(x-5) =0

x =3 and x=5

c)

3 x² + 10 x +7 =0

⇒ 3x² + 3x + 7x +7 =0

⇒ 3x (x +1) +7(x+1) =0

⇒ (x+1) ( 3 x +7) =0

⇒ x =-1 and $x = \frac{-7}{3}$

i)

2 x ² + 9 x =0

⇒ x( 2 x + 9) =0

⇒ x =0 and 2 x = -9

⇒ x =0 and $x = \frac{-9}{2}$

4 0

3 years ago

Convert 5 2/10 to decimal notation.

IgorLugansk [536]

5 and 2/10 converted into decimal notation would be, 5.2

5 0

3 years ago

Read 2 more answers