You bought stocks in 2 different companies yesterday: 100 shares of stock "a" was purchased at $21.15 per share and gained 6% today; 50 shares of stock "b" was purchased at $14.23 per share and lost 1.5% today. What is your percentage gain or loss on your 2 stock portfolio?

Answers

Answer 1

Answer:

4.11%

Step-by-step explanation:

Gain on stock a:

(21.15 × 100) × 6/100

126.9

Loss on stock b:

(14.23 × 50) × 1.5/100

10.6725

Net gain:

126.9 - 10.6725

116.2275

Total share value:

(21.15 × 100) + (14.23 × 50)

2826.5

% gain:

116.2275/2826.5 × 100

4.112064391%

Answer 2

your percentage gain on your 2 stock portfolio will be 4.11%.

Given,

The per share cost of stock "a" is $21.15 .

So the total cost of 100 shares of stock "a" will be,

[tex]21.15\times100=2115[/tex] dollars.

The per share cost of stock "b" is $14.23 .

So, the total cost of 50 shares of stock "b" will be,

[tex]14.23\times50=711.5[/tex] dollars.

Total investment on both the shares will be,

[tex]2115+711.5=2826.5[/tex] dollars.

Since stock "a" gained 6% today, so total gain in stock "a" will be,

[tex]\dfrac{2115\times 6 }{100}=126.9[/tex] dollars.

Now, share "b" lost 1.5% today, so total loss in stock "b" will be,

[tex]\dfrac{711.5\times1.5}{100} =10.67[/tex] dollars.

Now, overall gain in both the shares will be,

[tex]126.9-10.67=116.22[/tex] dollars.

Percentage gain will be,

[tex]\dfrac{116.22}{2826.5} \times 100\%=4.11\%[/tex]

Hence your percentage gain is 4.11%.

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Related Questions

Which shapes make up this composite figure?
VX
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder

Answers

Answer:

Answer is "A cylinder and two cones"

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

help and explain pls

Answers

Answer:

108 cm^2

Step-by-step explanation:

Which sequence represents an arithmetic sequence?
A −5, −7, −10, −14, −19, …
B 1.5, −1.5, 1.5, −1.5, …
C 4.1, 5.1, 6.2, 7.2, …
D −1.5, −1, −0.5, 0, …

Answers

Answer:

D

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …  

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …  

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

⇒ Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

plz mark brainliest

Answer:

D.−1.5, −1, −0.5, 0, …

Step-by-step explanation:

What is the volume (V) and surface area (SA) of a rectangular prism that is 11 ft long, 8 ft wide, and 4 ft tall?Immersive Reader

Answers

You can use a volume calculator in google you can also find a surface area calculator it will solve all your questions try it

The data shown has a least-squares regression line of y=3.2x−6.4.



Use the drop-down menus to complete the statements and identify the residual of the data point (8,19.2).



Point (8,19.2) is ___ the least-squares regression line.


A. on


B. below


C. above



The value of the least-squares regression line at x=8 is ___.


A. -6.4


B. 0


C. 12


D. 19.2


E. 25.6



So, the residual of the data point (8,19.2) is ____.


A. -19.2


B. -12


C. 0


D. 12


E. 19.2

Answers

Answer:

1) B. on, 2) D. 19.2, 3) C. 0

Step-by-step explanation:

1) The value of y according to the regression line is:

[tex]y = 3.2\cdot (8) - 6.4[/tex]

[tex]y = 19.2[/tex]

Hence, the point (8,19.2) is on the least-squares regression line.

2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.

Final answer:

The data point (8,19.2) lies on the least-squares regression line. The value of the least-squares regression line at x=8 is 19.2. Hence, the residual of the data point (8,19.2) is 0.

Explanation:

The data point (8,19.2) is on the least-squares regression line since when we substitute x=8 into the equation y=3.2x−6.4, we get y=3.2(8)−6.4 which simplifies to y=25.6−6.4, yielding y=19.2, which is exactly the y-value of the given data point.

The value of the least-squares regression line at x=8 is therefore 19.2 which corresponds to option D.

Since the observed y-value is exactly predicted by the regression line at this x-value, the residual for the data point (8,19.2) is 0, which represents the difference between the observed y-value and the value predicted by the regression formula. Therefore, option C is correct for the residual.

If hannah uses 300 ounces for 3 people how much will she use for 9 people

Answers

Answer:

she will use 900 ounces for 9 people

Step-by-step explanation:

Answer:

900 ounces

Step-by-step explanation:

you would take 300 and divide it by 3 because thats how many people were listed, then you would get 100 per person as a unit rate. Multiply 100 by 9 and you have your answer!

Each bacterium in a petri dish splits into 2 bacteria after one day. The function b(d) = 600 • 24 models

the number of bacteria, b, in the petri dish after d days.

Part A)

What is the initial number of bacteria in the petri dish?

Part B)

How many bacteria will be in the petri dish after 5 days?

Answers

Answer:

(a)Initial Number of Bacteria=600

(b)[tex]\text{Number of bacteria after 5 days}=19200[/tex]

Step-by-step explanation:

Given an initial number  [tex]b_0[/tex] of bacteria in a petri dish, and each bacteria splits into 2 bacteria after one day.

The function [tex]b(d) = 600 \cdot 2^d[/tex] models  the number of bacteria, b after d days.

Part A

Given  [tex]b(d) = 600 \cdot 2^d[/tex]

When d=0,

The initial number of bacteria in the petri dish,

[tex]b_0=b(0) = 600 \cdot 2^0=600[/tex]

Part B

After 5 days, when d=5

[tex]b(5) = 600 \cdot 2^5=600 \cdot 32\\\text{Number of bacteria after 5 days}=19200[/tex]

3. Find the mean and the median of this data set: 9,6,5, 3, 28, 6, 4, 7.

Answers

Answer:

Mean= 8.5

Median= 6

Step-by-step explanation:

3,4,5,6,6,7,9,28

Median= Middle (If two middle number, add and divide by 2)

Mean= (3+4+5+6+6+7+9+28) ÷8

Given the diagram below, what is m_D?
1080
108

Answers

Answer:

The correct Awnser is Awnser choice C. (Or third one)

Answer:c)72

Step-by-step explanation:u got it right on ape

To plot the point (3,4) on a scatter plot, which of the following steps should you follow? move three places vertically and four places horizontally move three places horizontally and four places vertically move three places vertically and three places horizontally move four places horizontally and four places vertically

Answers

Answer:

You should move 3 places horizontally, and 4 places vertically.

Step-by-step explanation:

Final answer:

To plot the point (3,4) on a scatter plot, you should follow:

Move three places horizontally and four places vertically.

Explanation:

To plot the point (3,4) on a scatter plot, you should follow these steps:

First, move three places horizontally from the origin along the x-axis; this represents the x-coordinate of the point. Next, from that position, move four places vertically along the y-axis; this represents the y-coordinate of the point.

By doing this, you will have plotted the point (3,4) correctly on the scatter plot.

This process is based on the convention that the first number in the ordered pair (x,y) corresponds to the horizontal (x-axis) movement while the second number corresponds to the vertical (y-axis) movement.

Therefore, plotting a point on a scatter plot or any Cartesian plane involves finding the x-coordinate on the x-axis and then finding the y-coordinate on the y-axis and marking the point where these two meet.

Rechel is paid $11 for every hour at her dog walking job she is also get tip.she earned a total of $73 for 6 hours of work.how much was her tip?

Answers

Answer:

So you would think 6 hours= 11$ so 6x11=66 now 73-66= 7 so her tip was 7 dollars

please mark me brainliest

Step-by-step explanation:

Answer:

1.16

Step-by-step explanation:

she earned 66 dollers the hour then she got and extra 1.16 for tip the hour and 7 dollers of tip the whole 6 hours

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Rotation maps point K24,-15 to K-15,-24 whats the rotation?

Answers

Answer:

90 degree CW

Step-by-step explanation:

Since the point is at (24, -15) and was rotated to (-15, -24):

x, y  -->   y, -x

This is a 90 degree rotation clockwise

A right triangle has sides of length 3, 4, and x .Find x if it is the hypotenuse

Answers

Answer:  D) 5

Work Shown:

a = 3 and b = 4 are the two legs

c = x is the unknown hypotenuse

Use the pythagorean theorem to solve for c

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c^2 = 25

c = sqrt(25)

c = 5

Final answer:

This question involves using the Pythagorean theorem to find the length of the hypotenuse of a right triangle. Given the lengths of the sides as 3 and 4, we find that the hypotenuse (denoted as 'x') is 5.

Explanation:

The subject of this question is mathematics and it is related to finding the length of the hypotenuse of a right triangle using the Pythagorean theorem. In the case of this problem, the two sides of the triangle are given (3 and 4) and the hypotenuse (x) is what we are solving for.

The Pythagorean theorem is as follows: a² + b² = c². In this notation, a and b are the lengths of the two sides, and c is the length of the hypotenuse. Given that a is 3 and b is 4, to find out x (or c in the formula), we square each of those values (3² + 4²) and get 9 + 16, respectively. This means x² = 25, so the value of x (the hypotenuse) is √25, which equals 5.

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Can y’all help me please

Answers

Answer: fourths

Step-by-step explanation:

5 + 4 – (10/2 – 8 × 3) × 4

Answers

Answer:85

Step-by-step explanation:

Use PEMDAS (Parentheses Expinents Multiplication Divison Addition Subtraction) in that order to solve in the correct order

Answer:

85

Step-by-step explanation:

first you have to reduce the factor with 2, them multiply the numbers.

Calculate the difference (when there is a "-" in front of an expression in parenthesis, change the sign of each term of the expression)

Multiply the numbers

Calculate the sum of the positive numbers

now, solution: 85

Factor the trinomial 3x2 + 16x + 21

Answers

Answer:

(3x+7)(x+3)

Step-by-step explanation:

Factors 3x^2+16x+21

3x^2+16x+21

=(3x+7)(x+3)

Answer:

[tex]3 {x}^{2} + 16x + 21 \\ 3 {x}^{2} + 9x + 7x + 21 \\ 3x(x + 3) + 7(x + 3) \\ = (3x + 7)(x + 3)[/tex]

The expression y? - 10y + 24 has a factor of y-4. What is another factor of y? - 10y + 24?!
y-20
y-14
y-8
y-6

Answers

Answer:

y=6

Step-by-step explanation:

y² - 10y + 24

factor: y - 4

24 / -4 = -6

y - 6 is the other factor.

(y-4)(y-6) ⇒ y(y-6) -4(y-6) = y² - 6y -4y + 24 ⇒ y² - 10y + 24

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Final answer:

The other factor of the expression y² - 10y + 24, other than y - 4, is y - 6. The expression can be factored as (y - 4)(y - 6).

Explanation:

The given expression is y² - 10y + 24. You have given that one factor is (y - 4). To find the other factor of the equation, we can divide the whole equation by (y - 4). By doing this, we find out that the other factor is (y - 6).

So, the expression y² - 10y + 24 can be factored as (y - 4)(y - 6).

This concludes that other than (y - 4), the other factor of the expression y² - 10y + 24 is (y - 6).

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Find the surface area of the prism.
3cm, 4cm, 12cm, 5cm
90 cm2


150 cm2


156 cm2


96 cm2

Answers

Your question is first one that’s your answer

Final Answer:

The surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.

Explanation:

To find the surface area of a triangular prism, you need to calculate the areas of all the faces and sum them up. The surface area will include the areas of:
- The two triangular bases, and
- The three rectangular sides.

Since the sides of the triangular bases are 3 cm, 4 cm, and 5 cm, and it is mentioned that they form a right triangle, we can consider those lengths to be the sides of a right-angled triangle where 3 cm and 4 cm are the perpendicular sides, and 5 cm is the hypotenuse. The length (height) of the prism is 12 cm.

1. Calculate the area of one triangular base:
  The area of a right-angled triangle can be calculated using the formula:
  Area = (Base * Height) / 2
 
  In our case, the base and height correspond to the two sides that are perpendicular to each other, which are 3 cm and 4 cm, respectively:
  Area_triangle = (3 cm * 4 cm) / 2
  Area_triangle = 12 cm² / 2
  Area_triangle = 6 cm²

  Since there are two identical triangular bases, we double the area:
  Total_area_triangles = 2 * Area_triangle
  Total_area_triangles = 2 * 6 cm²
  Total_area_triangles = 12 cm²

2. Calculate the area of the three rectangular sides:
  Each rectangle side is formed by the length of the prism and one of the sides of the triangle. There are three sides, so we have three rectangles:
  Rectangle 1 (Side a): Area = side_a * length = 3 cm * 12 cm = 36 cm²
  Rectangle 2 (Side b): Area = side_b * length = 4 cm * 12 cm = 48 cm²
  Rectangle 3 (Side c): Area = side_c * length = 5 cm * 12 cm = 60 cm²

  Now sum the areas of the rectangles:
  Total_area_rectangles = Rectangle 1 + Rectangle 2 + Rectangle 3
  Total_area_rectangles = 36 cm² + 48 cm² + 60 cm²
  Total_area_rectangles = 144 cm²

3. Sum up the areas of the triangular bases and rectangles to get the total surface area:
  Total_surface_area = Total_area_triangles + Total_area_rectangles
  Total_surface_area = 12 cm² + 144 cm²
  Total_surface_area = 156 cm²

Therefore, the surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.

What is the greatest common factor of 72
and 18?

Answers

Answer: 2, and 33

Step-by-step explanation:

Answer:

the greatest common factor is 18

The decay rate, k , for a particular radioactive element is 2.5%, where time is measured in years. Find the half life of the element. (Round to one decimal place)

Answers

Final answer:

Given a decay rate of 2.5% per year for a radioactive element, the half-life of this element, calculated using first-order kinetics, would be approximately 27.7 years.

Explanation:

The question seeks to find the half-life of a radioactive element given a decay rate of 2.5% per year. To solve this, we need to utilize the concept of first-order kinetics which is used to model radioactive decay.

First, we express the decay rate as a decimal, thus 2.5% is 0.025. To find the half-life or T1/2, we can make use of the formula T1/2 = ln(2) / k, where k is the decay constant or rate.

By inserting the values into this formula, it would be T1/2 = ln(2) / 0.025 which gives us approximately 27.7 years (rounded to one decimal place) as the half-life of the given radioactive element.

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The half-life is 27.7 years.

Half-life is the time required for half of the radioactive atoms to decay in a sample. In this case, the decay rate k = 2.5% is equivalent to 0.025 in decimal form.

By using the formula t1/2 = ln(2) / k, we can calculate the half-life.

Plugging in k = 0.025,

t1/2 = ln(2) / 0.025

= 27.7 years.

Therefore, the half-life of the element is approximately 27.7 years.

Complete Question:

The decay rate, k, for a particular radioactive element is 2.5%, where time is measured in years. Find the half-life of the element.

The half-life is  ___  years. (Round to one decimal place as needed.)

A copy machine makes 19 copies in 3 minutes and 15 seconds. How many copies does it make per minute?

Answers

Answer:

5 copies

Step-by-step explanation:

19 ÷ 195

answer x 60

Answer:

10.26secs

Step-by-step explanation:

Let's start by converting 3minutes 15seconds to second

How

60secs=1min

Xsec=3mins

Let's cross multiply

x=60×3

X=180secs

180+15

195secs

So 19 copies=195 secs

1copy=x sec

Cross multiply

19x=1×195

19x=195

Divide both sides by 19

X=10.26secs

which expression is equivalent to -2/5(x + 0.8) + 1/50

Answers

369 in a Oder of 86 that is

Answer:

-0.4x - 0.30  or   [tex]-\frac{2x}{5} - \frac{3}{10}[/tex]

Step-by-step explanation:

Change all the fractions to decimals.

-2/5 = -0.4  Distribute that over x and 0.8   1/50 =  0.02

you get -0.4x -0.32 + 0.02

Change all the decimals to fractions.

0.8 is 8/10  so  -2/5 times 8/10  is -16/50

-2x/5  - 16/50 + 1/50   add or subtract the fractions to get -15/50 Then reduce (÷5)

-2x/5 - 3/10

Mona is hang gliding \dfrac{5}{4}
4
5

start fraction, 5, divided by, 4, end fraction kilometers above sea level. Directly below her, she sees a whale 0.20.20, point, 2 kilometers below sea level.
Which of the following expressions represents the distance between Mona and the whale?
Choose 1 answer:

Answers

Answer:

A

Step-by-step explanation:

i promise it's A.

Final answer:

Mona is hang gliding 1.25 kilometers above sea level and a whale is 0.2 kilometers below sea level. The total distance between them is the sum of both distances, which is 1.45 kilometers.

Explanation:

The distance between Mona and the whale is given by the sum of 2 distances. One is Mona's altitude above sea level (5/4=1.25 kilometers) and the other is the whale's depth below sea level (0.2 kilometers). Both values should be added because both distances are defined with respect to the sea level, and their signs indicate direction rather than distance. Therefore, the expression that represents the distance between Mona and the whale is 1.25 km+0.2 km = 1.45 km, where 1.25 km is the distance Mona is gliding above the sea level and 0.2 km is the distance the whale is under the sea level.

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Latoya earns $25.05 for 3 hours of tutoring. How much money does latoya earn each hour?

Answers

Answer:

$8.35 per hour

Step-by-step explanation:

Take the dollars and divide by the hours to determine the dollars per hour

25.05/3

$8.35 per hour

Fractions is equipment to 3/8

Answers

Answer:

Step-by-step explanation:

It is eqivilent to 37.5

I think you meant to say "equivalent" instead of "equipment"

To find equivalent fractions to 3/8, you would multiply top and bottom by the same number.

If we multiply the top and bottom by 5 for instance, then

3*5 = 15

8*5 = 40

So 3/8 is equivalent to 15/40

--------------

Another example: multiply top and bottom by 9

3*9 = 27

8*9 = 72

This means 3/8 is equivalent to 27/72

-------------

Now let's say you were asked if 15/40 was equivalent to 3/8

To check this, you would assume they are equal, then cross multiply like so

15/40 = 3/8

15*8 = 40*3 ... cross multiply

120 = 120

Since we end up with the same thing on both sides, we have confirmed that 15/40 = 3/8 is a true equation.

What is the base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm?

Answers

Final answer:

The base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm is 15 square centimeters, obtained by dividing the volume by the height.

Explanation:

To find the base area of a cylinder with a known volume and height, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius of the base, and h is the height. Since the volume (V) is 150 cubic cm and the height (h) is 10 cm, we can rearrange the formula to solve for the base area (A): A = V/h.

By substituting the given values into our rearranged formula, we get: A = 150 cm³ / 10 cm = 15 cm². Thus, the base area of the cylinder is 15 square centimeters.

Data shows the probability of dying feom cardiovascular disease is 0.45 and that the probability from dying ofncancer is .22. What is the probability of dying from some other cause?

Answers

Answer:

0.33

Step-by-step explanation:

because 0.45 plus 0.22 is 0.67 which means the other probability is 0.33.

The probability of dying from some other cause will be 0.33. Probability always lies between 0 and 1.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The given data in the problem is;

P(A) is the probability of dying from cardiovascular disease = 0.45

P(B) is the  probability of dying from cancer = 22

P is the probability of dying from some other cause =?

The probability of dying from some other cause will be found as;

[tex]\rm P =1- P(A)+P(B) \\\\ \rm P =1- 0.45+0.22 \\\\ \rm P =0.33[/tex]

Hence the probability of dying from some other cause will be 0.33.

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A person is walking downhill at a constant speed. Which graph best represents the distance the person walks over time.

Answers

Top right corner, as the time and distance go up at a constant increase

Answer:

Step-by-step explanation:

Which is a factor of x2 + 8x – 48? (x – 6) (x + 4) (x – 16) (x + 12)

Answers

Answer:

(x+12)

Step-by-step explanation:

The middle number is 8 and the last number is -48.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 8

Multiply together to get -48

Can you think of the two numbers?

Try -4 and 12:

-4+12 = 8

-4*12 = -48

Fill in the blanks in

(x+_)(x+_)

with -4 and 12 to get...

(x-4)(x+12)

But, since (x-4) isn't an option, the answer would be (x+12)

Answer:

(x + 12)

Step-by-step explanation:  It's D on edg

Evaluate 2a + 4b
if a = 10 and b = 6

Answers

Answer:

44

Step-by-step explanation:

Answer:44

Step-by-step explanation:

2(10)+4(6)

20+24

=44

Other Questions
a bag contains 19 red,15 yellow and 14 blue marbles. what is the probability of pulling out a blue marble, followed by a red marble, if you replace the blue marble first-133/384-11/16-33/48-133/1152-11/384 Which of the following is an example of negative correlation? a. People who spend more time exercising tend to weigh less. b. Teenage females tend to have fewer speeding tickets than teenage males. c. Students with lower IQ scores tend to have lower grades. d. As hours studying for a test decrease, so do grades on that test. e. Students shoe sizes are not related to their grades. 5. Five more than twice a number m is fifteen The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14x-0.0002xsquared, what is an expression for the profit what 2 incidents led to the U.S entry into the world war 1 ? Which prism has the least volume what is characterization What is the product?negative 9 x (5 minus 2x)a) 18 x squared minus 45 xb) negative 18 x squared minus 45 xc )negative 18 x minus 45 xd) 18 x minus 45 x Gas is confined in a tank at a pressure of 1.0 x 10^8 Pa and a temperature of 15.0c. If half the gas is withdrawn and the temperature is raised to 65.0c, what is the new pressure in the tank in Pa? Vince successfully solved the system of equations-5x +y = -21 and y = x - 1. Which of these statements could correctlydescribe what he did? A fourlane freeway (two lanes in each direction) operates at flow rate of 1700 during the peak hour. It has 11ft lanes, 4ft shoulders, and there are three ramps within three miles upstream of the segment midpoint and four ramps within three miles downstream of the segment midpoint. The freeway has only regular users. There are 8% heavy trucks, and it is on rolling terrain with a peakhour factor of 0.85. It is known that 12% of the AADT occurs in the peak hour and that the directional factor is 0.6. What is the freeways AADT? Maria has a metal candleholder, without a top, that has a height of 3 cm and a radius of 3 cm. How much metal was used to make the holder? 12Pi cm2 12Pi cm3 16Pi cm2 27Pi cm2 A city is planning to build a square-shaped playscape at a city park.The table shows several values for A, the area of the playscape, in square feet, and f(A), the length, in feet, of one side of the playscape. The function represented is .About how many square feet are in the playscape if the length of a side is 63 feet?4,0004,1604,4894,830 The symbol, "I" represents-a. voltage b. powerc. currentd. resistance Identify whether the sentences are Simple, complex, compound or compound complex 1- Vampire diaries is my favorite television show, but I also love true blood 2- the student wiped the white board that was filthy with last week's notes 3- the trendy fashion designer released her new line on Wednesday 4- Trina and Hareem went to a bar in Hollywood yo celebrate their anniversary What do you think Roosevelt meant when he said the only thing we have to do fear is fear itself The graph below shows three different normal distributions,5060708090100Which statement must be true?Each distribution has a different mean and the same standard deviationEach distribution has a different mean and a different standard deviation.Each distribution has the same mean and the same standard deviationMark this and returnSave and ExitmextSubmit 1. How many ways are there to make an octagon with 19 different sticks when order DOESNT matter?2. How many ways are there to make an octagon with 19 different sticks when order MATTERS? Can anyone please answer this question !!!Max wants to paint a wall that measures 2.1 m by 5.2 m. A tin of paint states that it will cover 3.5 m?. If the tin contains exactly 0.5 litres of paint, and all other measurements are correct to 1 d.p., find the maximum volume of paint needed to paint the wall. Georgia Votes 2000 ~ The 2000 presidential election between Al Gore and George W. Bush was the closest presidential election in the history of the United States. A social historian is investigating the relationship between race and voting results. For a random sample of 50 counties in the state of Georgia, the historian obtains the percentage of county residents who were African American (AA), and the percentage of ballots cast for Al Gore. Percentage AA is the X variable and Percentage vote for Al Gore is the Y variable in this scenario. Using the sample data, the historian finds the equation of the estimated regression line for predicting the Y variable to be y = 25.4495 + 0.6956 x 44.0954% of Georgia's Baker county residents are African Americans. What is the estimated/predicted Percentage vote for Al Gore for this county? Give your answer to 4 decimal places. Note: Numbers are randomized for each instance of this question. Use the numbers given above.