Suppose there is a simple index of three stocks, stock ABC, stock XYZ, and stock QRS. Stock ABC opens on day 1 with 8000 shares at $4.25 per share. Stock XYZ opens on day 1 with 5000 shares at $2.90 per share. Stock QRS opens on day 1 with 2000 shares at $6.40 per share. The price of stock ABC on day 8 begins at $3.90. The price of stock XYZ on day 8 begins at $2.50. Stock QRS opens on day 8 with a price of $6.10 per share. Assume that each stock has the same number of shares that it opened with on day 1. What is the rate of change of this simple index over 1 week? ​

Answers

Answer 1

The rate of change of this simple index over 1 week is - 8.81%

What is the rate of change ?

The rate of change is the ratio of the difference in the value of the simple index to the original value of simple index.

Total value of the simple index at day 1 = (8000 x $4.25) + (5000 x $2.90) + (2000 x $6.40) = $61,300

Total value of the simple index at day 8 = (8000 x $3.90) + (5000 x $2.50)+(2000*6.10)  = 55900

the rate of change of this simple index over 1 week

= (55900-61300)/ 61300          * 100 %

= -8.81 %

the rate of change of this simple index over 1 week is - 8.81%

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Related Questions

Find the 9th term of the geometric sequence 8,32,128,

Answers

[tex]\text{First term,}~ a = 8\\\\\text{Common ratio,}~ r= \dfrac{32}8 = 4\\\\\text{nth term} = ar^{n-1} \\\\\text{9th term} = 8\cdot 4^{9-1}\\\\\\~~~~~~~~~~~~~=8 \cdot 4^8\\\\\\~~~~~~~~~~~~~=524288\\\\\text{The 9th of the geometric sequence is 525288.}[/tex]

find the length of the third side round to the nearest tenth if needed . 24 10

Answers

Answer:

the length of the third side is 26

Step-by-step explanation:

By Pythagoras theorem

AC² = AB² + BC²

AC² = 10² + 24²

AC² = 100 + 576

AC² = 676

AC = √676

AC = 26

name the marked angle two different ways

Answers

tbh I have no Idea ask your mother

Pls help me with my math

Answers

Answer:a

Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than

1
Select the correct answer.
Find the quotient.
24-3÷1
7
I
=

7
OA.
1(21 - 3)
OB.
71
21
3
-
O C.
21 3
-
71
OD. (213)
7

Answers

the right answer is D

(2x² - 3x) / 7 is the quotient of the given division.

What is simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To divide by a fraction, we can multiply by its reciprocal. So to simplify the expression:

((2x-3)/x ) / (7/x²)

We can multiply the numerator by the reciprocal of the denominator:

((2x-3)/x ) * (x²/7)

Simplifying this expression, we can cancel out the common factor of x in the numerator and denominator:

(2x-3) * (x/7)

Expanding the product:

(2x² - 3x) / 7

Therefore, the quotient of ((2x-3)/x ) / (7/x^2) is (2x² - 3x) / 7.

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Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:

A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.

What is the maximum length of the seesaw?

Answers

Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is of 1 m.The horizontal change is the length l.The angle is of 30º.

Hence:

tan(30º) = 1/l

l = 1/tan(30º)

l = 1.73.

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Point G is on line segment FH. Given FG = 10 and GH =
10 and GH = 5, determine the
length FH.

Answers

Answer:

FH = 15

Step-by-step explanation:

 G is lying between the point F & H on the line FH.

So, the distance of FH will be given by the sum of distance of FG and GH.

FH  = FG + GH

      = 10 + 5

      = 15

In January, Joanna deposited $250
into her savings account. In
February, she deposited an
additional $100. If her account has
an APR of 6% compounded monthly,
how much interest did Joanna earn
in the first two months?

Answers

The interest that Joanna earned in the first two months is $4.26.

What is the interest earned?

Interest earned in the first month = future value - amount deposited.

Future value = amount deposited x (1 + monthly interest)

Monthly interest = 6/12 - 0.5% = $252.50

Interest = $252.50 = 250 = $2.50

Interest earned in the second monthly = future value of the first month + amount deposited x (1.005)

(252.50 + 100) x 1.005 = 354.26

Interest = 354.26 = 352.50 = $1.76

Total interest = $1.76 + $2.50 = $4.26

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Please Help
Use the probability distribution table to answer the question.

X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04

What is P(2

Answers

Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].

What does the discrete probability distribution gives?

It give the probability of each outcome, and each outcome is represented by a countable number.

The desired probability is:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]

As there is an open interval at X = 2, it does not enter the calculation. The values are:

P(X = 3) = 0.1.P(X = 4) = 0.04.

Hence:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]

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Help PLS ASAP!!!!!!!!!!!!

Answers

Answer:

The answer is

" THe middle triangle is scalene"

and "the right and left triangle are isosceles"

Step-by-step explanation:

This is because B, and D are wrong.

B is wrong because all three sides are different lengths

D is wrong because the right and left triangles are not equalateral

give brainliest please!

hope this helps :)

The middle triangle is scalene

The right and left triangles are isosceles

7. What are the x- and y-intercepts for -x + 2y = 8?
O
A. x-intercept =-8; y-intercept = 4
O
B. x-intercept = 4; y-intercept = 8
O
C. x-intercept = 4; y-intercept = -8
O D. x-intercept = 8; y-intercept = -4

Answers

Answer:

the answer

Step-by-step explanation:

the answer is A

Simplify the expression (7 + 9i)(8 - 10i)

Answers

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

How to simplify the expression?

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

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These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation represents the population with the greatest growth factor (also called common factor)?


SOMEONE ANSWER THIS ANS YOU’LL EARN FREE EASY POINTS FOR GIVING ME THE RIGHT ANSWER!!

Answers

The growth factor:

   ⇒ is the base in the exponent:

       ⇒ the larger it is ⇒ the greater the growth factor is!

Let's Analyze our choices:

c(t)'s growth factor: 5/2a(t)'s growth factor: 5/6d(t)'s growth factor: 3b(t)'s growth factor: 1/50

The greatest growth factor is 3

Answer: d(t)

Hope that helps!

What do you think are the biggest advantages & disadvantages regarding the kind of technology we have access to in the early 21st century?

Answers

The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:

Advantages:

The improvement of productivity.

Better and easier communication between people.

Disadvantages:

Can be bad for the environment.

Technology might be able to replace humans in jobs.

What is technology?

Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.

Technology is embedded in the operation of all machines for the intended purpose of an organization.

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A multiple-choice examination has 10 questions, each with four possible answers, only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that he answers at least six questions correctly?​

Answers

Answer:

[tex]0.0197277[/tex]

Step-by-step explanation:

Consider the random variable X 

Where X denotes the number of (success/having a correct answer)

in 10 identical and independent trials .

then

X follows the Binomial distribution with parameters 

10 and  p = p(success) = 1/4

[tex]p\left( X\geq 6\right) =\sum^{10}_{k=6} p\left( X=k\right)[/tex]

               [tex]=\sum^{10}_{k=6} C^{k}_{10}\left( \frac{1}{4} \right)^{k} \left( \frac{3}{4} \right)^{10-k}[/tex]

               [tex]=\frac{20686}{2^{20}} \\= 0.0197277[/tex]

Opinions about a current event issue are recorded through responses given on a website. Opinions gathered in this fashion are an example of a ______________.
A. random sample
B. stratified random sample
C. self-selecting sample
D. systematic sample

Answers

Answer:

this is one of systematic sample and correct option is d

Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?

Answers

Answer:

Kurt 10    Courtney 10    Mark brainiest

Step-by-step explanation:

I did this too

Answer:

they each have 10 if you count     mark me brainiest, please

Step-by-step explanation:

Does the equation xy + 6y = 9 define y as a function of x?
O Yes
O No

Answers

Answer:

no. a function doesnt contain an = sign

Step-by-step explanation:

Answer:

Yes, it is a function.

Explanation:

xy + 6y = 9

y(x + 6) = 9

y = 9/(x + 6)

It is a inverse variation function.

Where equation: xy = k               ["k" is constant]

Each value of x corresponds to a single value of y.

Can someone explain how to get the answer I’m confused on how to solve

Answers

Answer:

x=29

Step-by-step explanation:

The square notation indicates 90 degrees.

90=(x+3)+(x-1)+(x+1)

90=3x+3

87=3x

x=29

Answer:

x = 29

(x + 3)° = 32°

(x - 1)° = 28°

(x + 1)° = 30°

Step-by-step explanation:

(x + 3)° + (x - 1)° + (x + 1)° = 90°

-> (x + x + x +3 -1 + 1)° = 90°

-> (3x + 3)° = 90°

-> 3x + 3= 90

-> 3x = 90 - 3

-> 3x = 87

-> x = 87/3

-> x = 29

-> (x + 3)° = (29 + 3)° = 32°

-> (x - 1)° = (29 - 1)° = 28°

-> (x + 1)° = (29 + 1)° = 30°


To verify the associative property of addition, begin
by finding the sum of the polynomials:
(3x + 4) + ((5x²-1) + (2x + 6))
x² +
X +
DONE

Answers

The sum of the given polynomial is 5x²- 5x +9

Sum of polynomial

Polynomials are expressions with a degree of 3 and above. Given the equation shown;

(3x + 4) + ((5x²-1) + (2x + 6))

Expand

(3x + 4) + ((5x²-1) + (2x + 6))

3x + 4 + 5x²-1 + 2x + 6

Collect the like terms

5x² + 5x + 4 - 1 + 6

5x²- 5x +9

Hence the sum of the given polynomial is 5x²- 5x +9

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if a person paid rs 32 as VAT to buy an article of cost Rs 2750 then how much money he /she pay? find it​

Answers

The total amount paid for the article is Rs2782

How to determine the amount paid?

The given parameters are:

Article = Rs 2750

VAT = Rs 32

The amount paid is calculated using:

Amount = Article + VAT

This gives

Amount = 2750 + 32

Evaluate

Amount = 2782

Hence, the total amount paid for the article is Rs2782

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5/8 multiple by 4/10

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\frac{5}{8}[/tex]x[tex]\frac{4}{10}[/tex]

multiply the numerators and denominators

[tex]\frac{20}{80}[/tex]

simplify

cancel the zeros and get 2/8

then simplify to 1/4

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to multiply 5/8 times 4/10.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

How do we multiply fractions? See below! ^-^

///\\\\///\\\\////\\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\//\\\\////\\\\////\\\\///\\\\///\\\///\\\//\\

                                   Multiplying fractions

Multiply the numerator of one fraction times the numerator of the other fraction:

5×4=20

Same with the denominator:

8×10=80

Put them together:

[tex]\pmb{\cfrac{20}{80}}[/tex]

Divide the numerator and denominator by 20:

[tex]\pmb{\cfrac{1}{4}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]

1. Sue made a cookie cake for her friend's birthday. The diameter is 8 inches. The area of the cake is
inches² (round to the nearest hundredths place)

Answers

Answer:

50.24 inches^2

Step-by-step explanation:

D=8 inches, r=D/2, r=8/2=4 inches

Area of circle= πr^2

=3.14×4×4

=3.14×16

=50.24

A car and a motor bike are priced at $33090. If the value of the car is three times the value of the motor bike, how much is the car worth?

Answers

So, you have the price combined for the motorcycle and car, and the car is 3x the amount of the bike. Here, we can separate their prices into fractions/percents (whatever works easiest for you). So, the car is 3/4 (75%) of the price, and the motorcycle is 1/4(25%) of the price.

Therefore, to find the price of the motorcycle, you multiply 33090 x 1/4 or .25 which equals $8272.50


And the car is 33090 x 3/4 or .75 which equals $24817.50.

The car is $24817.50

If 5 apples cost $1.15, find the cost of 16 apples

Answers

Answer:

3.68$

Step-by-step explanation:

If 5 apples cost $1.15, find the cost of 16 apples

we can solve with an equation

5 : 1.15 = 16 : x

x = 1.15 * 16 : 5

x = 18.04 : 5

x = 3.68

check

5 : 1.15 = 16 : 3.68

4.34 = 4.34

the answer is good

This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.

How much of the total surface will be covered with glitter?

Enter your answer as a decimal or mixed number in simplest form in the box.

cm²

Right trapezoidal prism. The height of the trapezoid base is labeled 4 centimeters. The larger base is labeled 6 and 1 half centimeters, and the shorter base is 5 and 1 fourth centimeters. The two legs of the trapezoid are labeled 4 centimeters and 4 and 1 fifth centimeters. The height of the prism is labeled 9 centimeters.

PLease helpppp!! only have 2 minutesd

Answers

Answer:

181.24

Step-by-step explanation:

The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².

What is the Surface Area of a Trapezoidal Prism?

Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.

Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²

Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²

Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²

Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²

Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²

Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²

Total surface that will be covered = 4/5(226.55) = 181.24 cm²

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círculo de diámetro de 9 cm calcular radio perímetro y area doy corona​

Answers

Answer:

Radio
r=4.5cm

Area
63.62cm2

Perímetro
C≈28.27cm

NEED HELP
(8.02-8.05)

Solve the systems of equations below using the method indicated in each part of the table. Be sure to show ALL your work for each method in order to get full points! (15 points)

Answers

The solutions to the systems of equations are:

1. (2, 3) (see attachment below). [one solution]

2. no solution

3. (3, 13) [one solution]

Solution to a System of Equations?

The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.

1. Using graph to solve y = 2x - 1 and y = 4x - 5:

The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]

2. Solving using substitution method:

x = -5y + 4 ---> eqn. 1

3x + 15y = -1 ---> eqn. 2

Substitute x = -5y + 4 into eqn. 2

3(-5y + 4) + 15y = -1

-15y + 12 + 15y = -1

-15y + 15y = -1 - 12

0 = -13 (this shows that there is no solution)

3. Using elimination method:

14x = 2y + 16 ---> eqn. 1

5x = y + 2 ---> eqn. 2

1(14x = 2y + 16)

2(5x = y + 2)

14x = 2y + 16 ----> eqn. 3

10x = 2y + 4 -----> eqn. 4

Subtract

4x = 12

x = 12/4

x = 3

Substitute x = 3 into eqn. 2

5(3) = y + 2

15 = y + 2

15 - 2 = y

13 = y

y = 13

The solution is: (3, 13).

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I don’t know how to solve

Answers

Answer:

line it, then try to add each number going from the top, my mother gave me that advice before, it works (:

Step-by-step explanation:

Answer:

X go's first then Y

Step-by-step explanation:

I did this before and got 100% promise and mark me brainiest

The White Russian cocktail contains vodka, Tia Maria and milk in the ratio of 5:2:3. To make the cocktail for a party the barman used 180ml of milk. What was the total volume of the cocktail? If this was served in 60ml glasses, how many glasses would it serve?

Answers

Answer:

1) 600cm^3            2) 10 glasses

Step-by-step explanation:

x = total amount in ml

(3/10)x = 180ml (MILK)

x = 600ml

(2/10)600 = 120ml (TIA MARIA)

(1/2)600 = 300ml (VODKA)

1) 600cm^3

2) 600ml : 60ml = 10 (GLASSES)

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