Suppose you have £20,000 in cash to invest. You decide to short sell £10,000 worth of Coca-Cola and invest the proceeds from your short sale plus your £20,000 in Intel. The initial price of Coca-Cola is £40 and increases to £42.40 producing a return of 6%. The initial price of Intel is £25 and increases to £31.50 producing a return of 26%. How many shares of Coca-Cola have you short sold and how many shares of Intel do you currently have? Select one: a. Short sold 2,000 shares of Coca cola and invested in 80 shares of Intel b. Short sold 40 shares of Coca cola and invested in 400 shares of Intel c. Short sold 250 of Coca cola and invested in 1200 shares of Intel d. Short sold 300 of Coca cola and invested in 12000 shares of Intel

Answer:

A

Step-by-step explanation:

use both points to find the slope using the equation

y2-y1/x2-x1, so , -2-4/2-0 = -6/2 = -3. slope or m = -3

then the y int can be any y point, so either -2 or 4. in this case they used 4.

Answer:

B. F, Cl, Br, I

Step-by-step explanation:

The atomic nunbers are 9, 17, 35, 53

Have a good day!

Answer:

one number is -6 and other is-3

Step-by-step explanation:

follow me

Answer: a. Standard Error = 0.045

              b. P (p-hat<0.33) = 0.0606

              c. P (0.38<p-hat<0.46) = 0.5782

Step-by-step explanation: The sample proportion is p-hat=0.4

a. Standard error of a sample proportion is calculated as:

[tex]SE=\sqrt{\frac{p(1-p)}{n} }[/tex]

with p=0.4 and n=120:

[tex]SE=\sqrt{\frac{0.4(1-0.4)}{120} }[/tex]

[tex]SE=\sqrt{0.002}[/tex]

SE = 0.045

The standard error of the sample proportion of students bringing their own computer is 0.045.

b. To determine the probability for sample proportions, first find the z-score:

P(p-hat < x) = [tex]P(z<\frac{x-\mu}{SE})[/tex]

[tex]P(p-hat<0.33)=P(z<\frac{0.33-0.4}{0.045} )[/tex]

P(p-hat < 0.33) = [tex]P(z<-1.55)[/tex]

Now, using z-score table, find the probability:

[tex]P(z<-1.55)[/tex] = 0.0606

Probability the sample proportion is less than 0.33 is 0.0606.

c. For probability between two proportions, find z-score for each number of the interval:

For p < 0.38:

P(p-hat < 0.38) = [tex]P(z<\frac{0.38-0.4}{0.045} )[/tex]

P(p-hat < 0.38) = [tex]P(z<-0.44)[/tex]

Using z-score table,

[tex]P(z<-0.44)[/tex] = 0.33

For p < 0.46:

P(p-hat < 0.46) = [tex]P(z<\frac{0.46-0.4}{0.045} )[/tex]

P(p-hat < 0.46) = P(z < 1.33)

Probability is

P(z < 1.33) = 0.9082

The probability of the interval is the difference of each probability:

P(0.38 < p-hat < 0.46) = [tex]P(z<1.33)-P(z<-0.44)[/tex]

P(0.38 < p-hat < 0.46) = [tex]0.9082-0.33[/tex]

P(0.38 < p-hat < 0.46) = 0.5782

Probability the sample proportion is between 0.38 and 0.46 is 0.5782.

Answer:

60

Step-by-step explanation:

48

12

60

Answer:

70

Step-by-step explanation:

This may be 2 hours ago but at least I know what to do. You can just add 50 + 40%! 40% being .4 and 50 staying the same is in fact 70.

he got a 70.

Answer:

Options (1), (2) and (3)

Step-by-step explanation:

To solve this problem we will use the property,

"A system of equations will have a unique solution if slopes of the linear equations are different"

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of a line passing through (-2, 12) and (3, -23) = [tex]\frac{12+23}{-2-3}[/tex] = (-7)

Option (1)

Slope of a line passing through (-4, 17) and (5, -28) = [tex]\frac{17+28}{-4-5}[/tex] = (-5)

Option (2)

Slope of a line passing through (-2, 16) and (2, -20) = [tex]\frac{16+20}{-2-2}[/tex] = (-9)

Option (3)

Slope of a line passing through (-6, 14) and (4, -16) = [tex]\frac{14+16}{-6-4}[/tex] = (-3)

Option (4)

Slope of a line passing through (-3, 19) and (6, -44) = [tex]\frac{19+44}{-3-6}[/tex] = (-7)

Option (5)

Slope of a line passing through (-5, 32) and (3, -24) = [tex]\frac{32+24}{-5-3}[/tex] = (-7)

Slopes of options (1), (2) and (3) are different.

Therefore, Options (1), (2) and (3) will be the correct options.

Answer: when x= 0,y= 6

when y= 0,x=3 AND the line type is solid !!

Step-by-step explanation:

The intercepts of the graph are (3, 0) and (0, 6) with the upper part of the graph shaded.

Inequality are equations not separated by an equal sign. Given the inequality expression;

-6x - 3y ≤ -18

For the x-intercept: This is the point where the value of y is zero, hence;

-6x - 3(0) = -18

-6x = -18

x = 3

The x-intercept of the function is (3, 0)

For the y-intercept: This is the point where the value of x is zero, hence;

-6(0) - 3y = -18

-3y = -18

y = 6

The y-intercept of the function is (0, 6)

Next is to plot the inequality graph

Learn more on inequality graph here: https://brainly.com/question/11234618

#SPJ2

Answer:

Step-by-step explanation:

angle ∠DEF = 180 - 28 - 47

                   = 105°

Step-by-step explanation:

Let the amount of money Andre has be $A.

Spending $10 on a book = A - 10

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

The missing length is 5.3 (a=5.3)

Step-by-step explanation:

The a is the missing side length.

a(2)+6(2)=8(2) The twos will be small and at the right corner of the number/letter.

when there is a 2 at the right corner of a number you will multiply that number with itself.

6×6=36 8×8=64

subtract 36 by 36. subtract 36 by 64(28)

a(2)=28

if you have a scientific caculator there are these buttons you must use at the end. Click the 2nd button, the click the x2 button(close to bottom left)

once you have those buttons clicked add in the number that doesnt have a variable(28)

28=5.29

ROUND 5.29 PLEASE

5.29=5.3

a=5.3

Answer:

b

Step-by-step explanation:

b

To find slope use y2 - y1 / x2 - x1. I would suggest doing this twice just to make sure.

For this one, I will use the first three points. (2,2) (4,5) (6,8)

8 - 5 / 6 - 4 = 3/2

5 - 2 / 4 - 2 = 3/2 = your slope

Now, since there is no (0,y) given, we need to find the y-intercept using . . . You guessed it! Point - slope form! I will use the point (2,2)

y-y₁=m(x-x₁)

y - 2 = 3/2 (x - 2)

y - 2 = 3/2x -3

  +2            +2

Y = 3/2x -1

-1 = your y-intercept form.

Answer:

Option D

Step-by-step explanation:

f(x) = -4x + 2

f(-1) = -4(-1) + 2 = 4 + 2 = 6

Answer:

1. Subtract 2.4 from both sides

2.Simplify to -3x=16.8

3.Divide both sides by -3

4. Simplify to x=-5.6

Answer: $9400

Step-by-step explanation:

.06x = $564

divide both sides by .06

x = $9400

Answer:

$2.31

Step-by-step explanation:

You divide 27 by 11.7 to find cost per gallon, and get 2.30769230769  but it says to round to nearest cent so you round to 2.31

Answer:

1,200

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

h(k(2)) = h(k(x=2)) = h(-2) = h(x= -2)= 3/( -2+1) = 3/-1= -3

Answer:

-3

Step-by-step explanation:

Sorry if I'm wrong.

Answer:

f(x)= 2x(x^3-6x^2+13)

Answer: m=2

Step-by-step explanation:

-5m-3m+6-3=-13

-8m+3=-13

-3 -3

-8m/-8 = -16/-8

m=2

Step-by-step explanation:

7+(-9-2x)=18

-9-2x=18-7

-9-2x=11

-2x=11+9

_2x=20

x=20

-2

x= -10

hope u want this..

Answer Step by Step:

Move all terms not containing |-9-2x| to the right side of the equation.

|-9-2x| = 11

Remove the absolute value term. This creates a ±  on the right side of the equation because |x| = ±x.

-9-2x=±11

Set up the positive portion of the ± solution.

-9-2x=11

Solve the first equation for x.

x = -10

Set up the negative portion of the ± solution.

-9-2x=-11

Solve the second equation for x.

x = 1

(Answer)  x = -10,1

Answer:

81

Step-by-step explanation:

A composite number is a number that can be divisible by more than 1.

81 can be divisible by 1 and 9.

-kiniwih426

Answer:

-690/1000

Step-by-step explanation:

Answer:

They are the same price

Step-by-step explanation:

Price per pound for peanut butter fudge

=11.20 ÷ 4

=$2.80

Peice per pound for chocolate bark

=16.80 ÷ 6

=$2.80