Avery owns stocks in Ever Rise Corporation. The stock price increased by 120% over the past week. If the stock price was p last week, write two equivalent expressions that represent the current stock price and explain what their equivalence means. Substitute one or more variables into the expressions to prove them equivalent.

Answers

Answer 1

Answer:

Expression 1. P+1.2p

Expression 2. 2.2p

Step-by-step explanation:

These 2 equivalent expressions state that increasing a value by 120% is the same as multiplying the original value by 2.2.

Example: assume that p=50. The first expression gives p+1.2p=50+1.2(50) =110. The second expression gives 2.2p=2.2(50)=110

Answer 2

The two expressions 1.2p and p + 0.2p are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing that variables or numbers.

If the stock price increased by 120% over the past week, then the current stock price is 120% of the stock price last week. This can be represented by the equation:

current price = 1.2p

Another way to represent the same relationship is to say that the current price is the stock price last week plus 120% of the stock price last week. This can be represented by the equation:

current price = p + 0.2p

To prove that these two expressions are equivalent, we can substitute a value for p into both equations and show that they give the same result. For example, if the stock price last week was $100, then:

current price = 1.2100 = $120

current price = 100 + 0.2100 = $120

Therefore, the two expressions are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.

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Related Questions

A regular pentagonal prism has a height of 14 in. and a base edge length of 10 in. Identify its lateral area and surface area.
Can anyone help me solve this?

Answers

The lateral faces of the prism are 5 rectangles with dimensions 10 by 14.

So the lateral area = 5 * 10 * 14 = 700 (in squared)

Consider one of the bases of the prism.

As shown in the figure, the pentagon is made up of 5 isosceles triangles.

The vertex of each of these 5 triangles is 360°/5=72°.

Draw the altitude, which forms 2 right triangles with angle measures 36°-54°-90°.

Let he hypotenuse be s and the altitude be h in, as shown in the figure.

x*cos54°=5

x=5/(cos54°)=5/(0.588)=8.5

then,

h=x*sin54°=8.5*(0.8)=6.8 (in)

Thus, the area of one of the 5 congruent isosceles triangles is

[tex] \frac{1}{2}*10*6.8= 34[/tex] (in squared)

The area of the pentagonal base is 34*5 = 170 (in squared)

Thus the surface area = lateral area + 2 base area
= 700+2*170 = 700+340 = 1040 (in squared)

Answer:

lateral area: 700 in squared

surface area: 1040 in squared

Answer:

L = 700 in2 ; S = 1044.1 in2

Step-by-step explanation:

Lucky guess :)

The singing club keeps sheet music in files. Each file holds 12 sheets. Of all the club's music, 2/3 fit into 3 files. How many sheets of music does the club have?

Answers

1 file -> 12 sheets

Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total

So the total number of sheets: 36 / (2/3) = 54

Final answer:

The singing club has a total of 36 sheets of music.

Explanation:

To find the total number of sheets of music the club has, we can set up a proportion using the given information. Since 2/3 of the club's music fits into 3 files, this means that 1/3 of the music fits into 1 file. So, if 1/3 represents 12 sheets, then 1 represents 12 * 3 = 36 sheets. Therefore, the club has a total of 36 sheets of music.

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Jessie received the following scores on her math tests this year. (45, 65, 70, 80, 85, 100) Suppose the teacher removes the lowest and highest scores. (65, 70, 80, 85) What are the interquartile ranges of Jessie’s original scores and her new scores?

Answers

original scores :
45,65,70,80,85,100
IQR = 85 - 65 = 20

new scores :
65,70,80,85
IQR = (80 + 85)/2 - (65 + 70)/2 = 82.5 - 67.5 = 15

Answer:

Interquartile ranges of Jessie’s original scores = 20

Interquartile ranges of Jessie’s new scores = 15

Step-by-step explanation:

Interquartile range IQR = Higher quartile (Q3) - lower quartile (Q1)

Where Q3 is the mid-value of the second half of a dataset and

Q1 is the mid-value of the first half of a dataset.

Original score = 45, 65, 70, 80, 85, 100

Q1 of original score:

First half of original score = 45, 65, 70

Therefore Q1 = 65

Q3 of original score:

Second half of original score = 80, 85, 100

Therefore Q3 = 85

:. Interquartile range IQR of original score = Q3 of original score - Q1 of original score

:. IQR = 85 - 65 = 20

New score = 65, 70, 80, 85

Q1 of new score:

First half of new score = 65, 70

Therefore Q1 = (65+70)/2 = 67.5

Q3 of new score:

Second half of new score = 80, 85

Therefore Q3 = (80 + 85)/2 = 82.5

:. Interquartile range IQR of new score = Q3 of new score - Q1 of new score

:. IQR = 82.5 - 67.5 = 15

Therefore:

Interquartile ranges of Jessie’s original scores = 20

Interquartile ranges of Jessie’s new scores = 15

Help!! Image attached, will put most brainliest

Answers

The answer is D, y - 4 = -2(x - 1).

Point Slope Form: y - y₁ = m(x - x₁)

Info Given:
Coordinates - (1,4)
Slope: -2

(1,4)
x₁ y₁

Plug slope and point into formula: y - 4 = -2(x -1)

Point-slope form : y - y₁ = m(x - x₁)

Slope = -2

Passes through (1, 4)

We simply need to plug it into the point-slope equation :)

y - y₁ = m(x - x₁)

* m = slope

y - 4 = -2(x - 1)

D) y - 4 = -2(x - 1)

~Hope I helped!~

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
3
18
21
215

Answers

We need to remember that:
xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube

Also,
(x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.

All should be a perfect cube, given

215x^18(y^3)(z^21)

By writing the terms separately, we would see which one is to be changed.

215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.

Answer:

D; 215

Step-by-step explanation:

EDGE

I WILL GIVE BRAINLIEST please answer both parts

If 365 work days are split among 12 employees evenly

PART: A How can you rewrite this as a fraction?

PART:B What does the fraction represent?

Answers

Q) If 365 work days are split among 12 employees evenly

Part A: To understand this question, you need to read carefully and pick out key words that tells you what to do. All math word / puzzle problems have key words that tell you what you need to do.

For instance, the key word split tells us we need to divide. So, we know we have 365 work days that need to be split among 12 employees. So for Part A:

365 / 12

For Part B it wants to know what this represents. It represent the number of days each of the 12 employees will get if split evenly among each employee.

Find the area of the parallelogram shown below

Answers

[tex]A=bh \\ b=7, \ \ h=5 \\ \\ A=7*5=35 \ \text{units}^2 [/tex]

I think its 35

5 * 7 =
35

Use the Distributive Property to simplify each expression:
6(a + 10)
(5 + w)5
14(4f - 8)
2.1(5w -15)
0(3.7x - 4.21)
-(-m + n + 1)

Answers

6a + 60

5w + 25

56 f - 122

10.5 w - 31.5

m - n -1

Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 8 ft and a length of 14 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. 2(14 + 8) = 44 square feet 1 over 2.(14 + 8) = 11 square feet 2(14 × 8) = 224 square feet 1 over 2.(14 × 8) = 56 square feet

Answers

If it is a diagonal going from one corner to the other opposite corner about the center, the diagonal simple divides the area by 2.

So:

A=xy/2, and x=8 and y=14 in this case so:

A=(8*14)/2 or as you are probably looking at it (which is the same thing)

(1/2)(8*14)=56 square feet.

Answer:

D) 1 over 2. (14 × 8) = 56 square feet

Step-by-step explanation:

You first need to look at the w x h formula (width x height).

W= 14
H= 8

14 x 8= 112

Then, you have to divide 112 by 2. The reason why is because 112 is the area of the whole rectangle, but you only need the area to the triangle, which is half of the rectangle.

112 ÷ 2= 56 sq. ft.

Therefore, the answer is D. Hope this helped!! <3

An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:

Answers

i believe the answer is c im am stuck on the same problem do you know the answer?

which of the following best describes a regular polygon when the sum of its interior angles is 1080 degrees A.) octagon B.) heptagon C.) hexagon D.) nonagon

Answers

a) octagon

1080= (n-2)180
1080/180=6

6=(n-2)
n=8
(This is the formula for finding the sum of interior angles in polygons. n represents the number of sides in the polygon)

Answer:

Option A is correct.

Step-by-step explanation:

Given: Sum of all the interior angles of a regular polygon = 1080°

To find: number of sides or name of polygon.

We know that Sum of all interior angle of a regular polygon is given by following formula,

Sum of all angles = ( n - 2 ) × 180° , where n = no of sides.

⇒ 1080° = ( n - 2 ) × 180°

n - 2 = 6

n = 6 + 2

n = 8

Name of regular polygon is Regular Octagon.

Therefore, Option A is correct.

5b-2=13 what does b equal

Answers

5b-2=13 add 2 to both sides

5b=15 divide both sides by 5

b=3

5b-2=13

add 2 to both sides

5b=15

divide both sides by 5

b = 15/5 = 3

b=3

Six less then two thirds of a number is negative ten what is the number

Answers

2/3X-6 = -10

2/3x = -4

x = -4 / 2/3 = -6

X = -6

check:

2/3(-6) - 6 = -4 -6 = -10 TRUE

what is 1 and 6/24 simplified as ?

Answers

1 and 1/4 is the answer

[tex] 1\frac{6}{24} = \frac{30}{24} = \frac{5}{4} (a.k.a)1\frac{1}{4} [/tex]

what is the value of x and y

Answers

x = 5 ; y = 0

First, square root x^2 + y^2 = 25, then you get x + y = 5
Elimination. Multiply x + y = 5 by -1, then you get -x - y = -5.

2x + y = 10
-x - y = -5
---------------
x = 5

Number 8 please it will help a lot

Answers

well it all depends on the object you are using but in this case lets say remote control cars. You can have an example like "we drove the car around the building twice. the first time it was -8 than how fast it was supposed to go. the second time it was 9. In which round was the car faster?" I dont think i helped very much but i hope i did

Jeff takes 20 mins to jog around the race course one time. And 25 mins to jog arpund second time. What is his average speed in kms per hr fpr the whole jog if the course is 3 kms long?

Answers

The main formula used in work-rate, distance-speed problems is:

Work=Rate*Time, or Distance=Speed*Time.

Thus, the time is: [tex]speed= \frac{distance}{time} [/tex].

In our problem, the total distance is 3 km + 3 km = 6 km.

the total time is 20 min + 25 min = 45 min.

60 minutes are 1 hour, then

45 minutes are [tex] \frac{45min*1h}{60min}= 0.75h[/tex]

Thus, the average speed is : distance/time = 6 km/ 0.75 h = 8 km/h

Answer: 8 km/h

How to show numbers are related to each other

Answers

Human and non-human species possess a mental system of number representations that appear early in the lifespan and that supports approximate number skills, such as numerical estimation or number comparison. With the later acquisition of language and of symbolic numbers, human beings also develop exact number skills that allow using numbers precisely, such as in counting and arithmetic. The current review points out the behavioral data which either support or challenge these contrasting proposals. In an attempt to provide a comprehensive overview of these mixed data, we carefully took into account the heterogeneity of the available studies regarding the kind of tasks, stimuli or ages of assessment. Also, you can show how the numbers are related simply by identifying the tenth place value of each digit.

Rita bought fabric and ribbon from a store the ribbon cost $18.50 rita paid the cashier $50.00 and received change of $5.25 how much did the fabric cost

Answers

1.Rita spent $26.25 on fabric.

2. I know this because...
- First, I subtracted the cost of the ribbon from how much she paid.
· Equation: $50.00 - $18.50 = $31.50

- Second, I subtracted the change received by the reduced cost ($31.50)
· Equation: $31.50 - $5.25 = $26.25

3. So, the final amount of money Rita spent on fabric is $26.25.
______________________________________________________________

I am 99.9% sure that this is the correct answer. If for some reason my answer is incorrect, I am truly sorry, and please forgive me. Thank You!

A pudding recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?

Answers

4 1/2 cups = 9/2 cups

9/2 / 1/3=

9/2 * 3/1 = 27/2 = 13 1/2 servings at 1/3 cup each

Answer:

13 1/2

Step-by-step explanation:Just trust

What is the measure of angle 4?

Answers

<4 + <3 = 180
7x + 23x = 180
30x = 180
x = 6

m<4 = 7x = 7(6) = 42

answer
B. 42 (Second choice)

What is the sine value of pi over 6?

Answers

The answer is .5 or 1/2

Answer:

The sine value of pi over 6 is:

[tex]\dfrac{1}{2}[/tex] or 0.5

Step-by-step explanation:

we have to find the value of [tex]sin\dfrac{\pi}{6}[/tex]

we know that value of [tex]sin\dfrac{\pi}{6}[/tex] is [tex]\dfrac{1}{2}[/tex]

Hence, the sine value of pi over 6 is:

[tex]\dfrac{1}{2}[/tex] or 0.5

NEED HELP!!! 80 POINTS! (sike)

At the airport, ten people are waiting on standby. Two seats become available, one first class and one coach. How many ways are there to fill the two seats?

A. 10
B. 20
C. 45
D. 90

Answers

1st seat there are 10 people so 10 different ways to fill it

2nd set there are 9 people left so 9 different ways to fill it

10 x 9 = 90

there are 90 ways to fill the seats

Answer:

d. 90

Step-by-step explanation:

2n2-24n+72 factor completely

Answers

2n^2-24n+72

2(n^2-12+36)

2(n^2-6n-6n+36)

2(n(n-6)-6(n-6))

2(n-6)(n-6)

2(n-6)^2

Choose the system of equations which matches the following graph:

A. 5x - y = 7
2x - y = 0

B. 5x - y = 7
2x + y = 0

C. 5x + y = -7
2x + y = 0

D. 5x + y = -7
2x - y = 0

Answers

Answer:

Option B : [tex]5x - y = 7[/tex]

[tex]2x + y = 0[/tex]

Step-by-step explanation:

Intersecting point on the graph = (1,-2)

Substitute this point in the given options .

A. [tex]5x - y = 7[/tex]

[tex]2x - y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = 7[/tex] and [tex]2(1) -(-2) = 0[/tex]

[tex]7 = 7[/tex] and [tex]4 \neq 0[/tex]

So, this system of equations does not matches the graph.

B. [tex]5x - y = 7[/tex]

[tex]2x + y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = 7[/tex] and [tex]2(1)+(-2) = 0[/tex]

[tex]7 = 7[/tex] and [tex]0= 0[/tex]

So, this system of equations matches the graph.

C.[tex]5x + y = -7[/tex]

[tex]2x + y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = -7[/tex] and [tex]2(1)+(-2) = 0[/tex]

[tex]7\neq -7[/tex] and [tex]0= 0[/tex]

So, this system of equations does not matches the graph.

D. [tex]5x + y = -7[/tex]

[tex]2x - y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = -7[/tex] and [tex]2(1) -(-2) = 0[/tex]

[tex]7\neq -7[/tex] and [tex]4 \neq 0[/tex]

So, this system of equations does not matches the graph.

Answer:

B. 5x - y = 7

2x + y = 0

Step-by-step explanation:

took test

The table shows the number of students in a school who like dodgeball and/or ping pong:

Like Dodgeball
Do Not Like Dodgeball
Total
Like Ping Pong
26
18
44
Do Not Like Ping Pong
24
32
56
Total
50
50
100

What is the relative frequency, by row, of students who like both dodgeball and ping pong?

0.22
0.40
0.48
0.59

PLEASE HELP !!!

Answers

Hi!

I've included the table so it's easier to visualize.

Divide the amount of students who like ping pong and dodge ball (26, it's highlighted in the image) by the total amount of students that like ping pong (44).

26/44 = 0.59

The answer is 0.59

Hope this helps! :)

Answer:

0.59

Step-by-step explanation:

If T is the point at a distance 3pi/5 from P(1, 0) on the unit circle with its center at (0, 0), in what quadrant does T lie?

Answers

Since 3pi/5 is not one of the normal points we learn on the unit circle let's reason through this.
We know that 180 degrees on the unit circle is pi, or 5pi/5, which is the same as pi.
So 90 degrees is half of 180 and therefore half of 5pi/5 which is 2.5pi/5.

Since 2.5pi/5 is at the 90 degree mark we know that 3pi/5 has to be past this so it will be in Quadrant II.
I hope this helps.

Final answer:

The point T lies in the second quadrant of the unit circle when it is at an angular distance of 3π/5 from P(1, 0), because this angle falls between π/2 and π radians.

Explanation:

If T is the point at a distance 3π/5 from point P(1, 0) on the unit circle with its center at (0, 0), to determine in what quadrant T lies, we must consider where this angle places T on the unit circle.

Recall that a point on the unit circle has coordinates (x, y) = (cos θ, sin θ), where θ is the angle measured counterclockwise from the x-axis. An angle of 3π/5 radians is more than π/2 radians but fewer than π radians. Therefore, it falls in the second quadrant of the unit circle, where x-coordinates are negative and y-coordinates are positive.

Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely? [1 foot = 12 inches] numerical answers expected

Answers

3 feet = 36 inches

36 x 6 x 2.4 = 518.4 cubic inches

1 cubic foot = 1728 cubic inches

518.4/1728 = 0.3 cubic feet

0.3/0.15 = 2

he will need 2 bags

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?

Answers

11 + 4(x + 2y + 4) =
11 + 4x + 8y + 16 =
4x + 8y + 27

Determine the sign of cos pi divided by seven without using a calculator.

Answers

The angle [tex] \frac{\pi}{7} [/tex] is in Quadrant 1 and cos of an angle in quadrant 1 is always positive

Answer:

The [tex]\cos \frac{\pi}{7}[/tex] has positive sign.

Step-by-step explanation:

we need to determine the sign of [tex]\cos \frac{\pi}{7}[/tex] without using calculator

Cartesian system ( shown in figure -1)

The angle [tex]\cos \frac{\pi}{7}[/tex] lies in quadrant-1 , Where angles are zero (0) to [tex]\frac{\pi}{2}[/tex]

and in first quadrant all trigonometric ratios has positive sign

so, [tex]\cos \frac{\pi}{7}[/tex] has positive sign.

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