What if? if the height of the pyramid were increased to 563 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increas

Answers

Answer 1

The pyramid's volume will increase by 11.79%.

What is a pyramid?It has a polygonal base.A pyramid has n + 1 vertices, n + 1 faces, and 2n edges with an n-sided base.

A Pyramid's volume is calculated as:

[tex]V=\frac{B h}{3}[/tex]

Where:

B denotes the base area.h stands for height.

When the height increases from 458 to 512, the initial and final volumes are as follows:

[tex]\begin{aligned}&V_1=\frac{458}{3} b \\&V_2=\frac{512}{3} b\end{aligned}[/tex]

The percentage difference is then calculated as follows:

[tex]\% \text { Change }=\frac{V_2-V_1}{V_1} \times 100 \%[/tex]

We obtain:

[tex]\% \text { Change }=\frac{512 b / 3-458 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=\frac{54 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=0.1179 \times 100 \%\\\% \text { Change }=11.79 \%[/tex]

Therefore, the pyramid's volume will increase by 11.79%.

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The correct question is given below;
If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase


Related Questions

*HURRY help i’m taking a test*

mario will purchase 2 rare coins each month at a cost of $50 each. how much money will mario have spent on his coin collection after 2 years if he purchases an additional 3 coins at the end of the 2 years?

a. $1200
b. $2550
c. $2400
d. $1750
c. $1250

Answers

Answer:

it should be b.

Step-by-step explanation:

2 rare coins will make them $100 each month. There are 12 months in a year.

12 × 2 = 24 months

so $100 × 24 months will give us 2400.

Then Mario purchases 3 coins making it cost $150 ($50 + $50 + $50)

2400 + 150 = 2550

Brainliest plss :,)

Find the measure of the missing angles.
b=
93°
C=
C
b
O

Answers

c = 87°

solution:

a straight line is 180°
the angle given is 93°
subtract that from 180° and you get the other angle

b = 93°

solution:

b and the given angled are mirrored from one another, making them the same

An inflationary gap occurs when the as curve and the ad curve intersect ________ of the potential gdp line.

Answers

An inflationary gap occurs when the  SRAS curve and the AD curve intersect Right of the potential GDP line.

The SRAS curve:

With the help of the short-run aggregate supply curve (SRAS), we can understand how each firm in an economy reacts to price stickiness. The SRAS curve will slope upward when prices are volatile. The SRAS curve illustrates that higher price levels lead to increased output.

AD curve:

The demand for and supply of every good and service an economy produces are the main topics of discussion. As a result, the demand for all distinct goods and services is also combined and is known as aggregate demand.

What transpires throughout an inflationary gap?

The price level of goods and services would then rise (naturally or as a result of government intervention) to compensate for the increased demand as well as an insufficient supply when an inflationary gap occurs. This price increase is known as demand-pull inflation.

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1. a bank offers a cd that pays a simple interest rate of 7.5%. how much money in dollars must you put in this cd in dollars now in order to have $5,000 in 3 years?

Answers

The money in dollars that must be put in this cd in order to have $5,000 in 3 years is $4,081.63

The formula for simple interest and procedure we will use to solve this exercise is:

A = P {1 + [(R/100) * T]}

Where:

P = principalR = rate of interest in % per annumT = timeA = amount

Information about the problem:

P = ?R = 7.5%T = 3 yearsA = $5,000

Applying the simple interest formula and isolating the principal (P), we get:

A = P {1 + [(R/100) * T]}

$5,000 = P {1+[(7.5/100) * 3]}

$5,000 = P [1+(0.075*3)]

$5,000 = P (1+0.225)

$5,000 = P (1.225)

P = $5,000/ 1.225

P = $4,081.63

What is simple interest?

It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.

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Find the equation of a line that passes through the point (1, -5) and is perpendicular to a line that passes through the points (2, 4) and (3, -4). Write the equation in slope intercept
form.

Answers

The equation of a line in slope-intercept form is  [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .

What is slope intercept form?One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line.When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

The equation of the line is given below using the slope-intercept method:

y = mx + c

where,

m = the slope of the line

c = y-intercept of the line

(x, y) represent any point on the line

To find the Slope of a line that passes through the points (2, 4) and (3, -4).

m₁ = change in y/change in x

    = y₂ - y₁ / x₂ - x₁

    = Δy/Δx

   = [tex]\frac{-4-4}{3-2}[/tex]

   = [tex]\frac{-8}{1}[/tex]

   = -8

Now, we find the slope of the line perpendicular to the line with the slope -8.

m₂ = -1 / m₁

    = -1 / -8

    = 1/8

So, the slope of the line is 1/8.

Next, we find the equation of a line that passes through the point (1, -5) and has a slope of 1/8.

⇒ y - y₁ = m( x- x₁)

⇒ y + 5 = [tex]\frac{1}{8}[/tex] (x - 1)

Multiplying by 8 on both sides of the equation we get and then solving

⇒ 8y + 40 = x - 1

⇒ 8y = x - 41

 ⇒ [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex]

Therefore, the equation in slope intercept form is  [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .

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Question 1-6
Mrs. Herrera is buying one piece of candy for each of the students who have 100% attendance. The number of students in Mrs. Herrera's mach classes that have perfect attendance is
2 Square root of 196 -1. The candy costs $0.79 each, plus 7% tax. How much money does it cost for Mrs. Herrera to purchase candy for her.
$19.75
$19.82
$20.45
$21.13

Answers

The total money that will be cost for Mrs. Herrera to purchase candy for her is $10.9889

Given, Number of students that 100% attendance in the class is √196 -1 that is equal to

14-1 = 13.

So, number of students is 13.

Cost of one candy = $0.79+7%(tax)

Cost of one candy = $0.79 + (7% of 0.79)

Cost of one candy = $ 0.79 + 0.0553

Cost of one candy = $0.8453

So , total cost that Mrs. Herrera to purchase candy will be

Total cost = Number of student X Cost of one candy

Total cost = 13 X $0.8453

Total cost  = $ 10.9889

Hence, The total cost for Mrs. Herrera to purchase candy for her is $10.9889

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1. Which of the following points are on the circle centered at the origin with 2 = 89 ?
A) (25,64)
B) (5, -8)
C) (-3,-9)
D) (√89, √89)

Answers

The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).

Which of the following points are on the circle centered at the origin with r² = 89?

It follows from the task content that the circle in discuss has a center at the origin, (0,0).

Hence, the since the square of the radius is; = 89.

It follows that the point which fits into the equation of the circle; x² + y² = r² is;

Choice C; (5)² + (-8)² = 25 + 64 = 89.

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The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).

Which of the following points are on the circle centered at the origin with r² = 89?

It follows from the task content that the circle in discuss has a center at the origin, (0,0).

Hence, the since the square of the radius is; = 89.

It follows that the point which fits into the equation of the circle; x² + y² = r² is;

Choice C; (5)² + (-8)² = 25 + 64 = 89.

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I will give brainliest to the person who give me a right answer with solution
Pls answer this ASAP ty

Answers

Answer:

∠ A = 42° , ∠ G = 85°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(3)

∠ A is an inscribed angle , so

∠ A = [tex]\frac{1}{2}[/tex] BC = [tex]\frac{1}{2}[/tex] × 84° = 42°

(4)

∠ G is an inscribed angle but we require arc DF

the sum of the arcs in a circle = 360°

FG + GD + FD = 360°

70° + 120° + FD = 360°

190° + FD = 360° ( subtract 190° from both sides )

FD = 170°

Then

∠ G = [tex]\frac{1}{2}[/tex] DF = [tex]\frac{1}{2}[/tex] × 170° = 85°

Does the figure below appear to have line symmetry if so how many lines of symmetry

Answers

Answer:

2

Step-by-step explanation:

You can only cut it into 2 exact equal parts <3

Answer:

It has none.

Step-by-step explanation:

If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.

Solve.
5r+5= 3(5r - 4) – 10r

Answers

Answer: No solution

Step-by-step explanation:

5r + 5 = 3(5r - 4) - 10r  Do multiplication

5r + 5 = 15r - 12 - 10r  combine like terms

5r + 5 = 5r - 12        This is impossible. 5r cannot equal 5 and 12 meaning there is no value of r that makes this equation true so there's No Solution.

You could continue

5r + 17 = 5r

-5r       =-5r

17=0 which is also not true

A cylinder has a height of 5 feet and a diameter of 2 feet. Which measurement is closest to the volume of the
cylinder in cubic feet?
62.8 ft³
15.7 ft3
78.5 ft3³
157.1 ft3

Answers

The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)

What is the calculation justifying the above solution?

Recall that volume is

V = πr²h

Given:

h = 5 feet

r = 2/2 = 1

Hence

V = 5 x 1 x 22/7

= 15.7142857143

Hence, the cylinders volume in cubic feet is given as:

[tex]$\approx$[/tex] 15.7 ft

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Answer: 15.7 ft3

Step-by-step explanation:

Identify the domain and range of
the relation.
domain:
range :

Answers

Answer: domain is x and range is y

Step-by-step explanation:

Answer:

Domain: {2, 8, 30, 46}
Range: {-1, 9, 16}

Step-by-step explanation:

The domain of a function y = f(x)  is the set of all values that the input values (x) that the function can accept. The range of a function is the set of all output values that the function can produce from the domain values ie the set of all  values

Looking at the figure, the set of all x values that the function y can take are
{2, 8, 30, 46} and this is the domain

The output values produced from this domain are {-1, 9, 16} and that is the range

- The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find
the weighted average. Use the formula: WA = Sum of the Weighted Values
Sum of the Weights
Answers:

Answers

The weighted average of the given coordinates weights is; 3

What is the Weighted Average?

We are given that;

Coordinate of -5 has a weight of 3

Coordinate of 3 has a weight of 1

Now, we are given the formula to calculate the weighted average as;

WA = Sum of the Weighted Values/Sum of the Weights

Thus;

WA = ((-5 * 3) + (3 * 1))/(3 + 1)

WA = (-15 + 3)/4

WA = -12/4

WA = -3

We will take the absolute value which is; WA = 3

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2 mandy is playing a game. early in the game she had - 250 points. now
mandy has 350 points. what was the change in mandy's score?

Answers

The change of Mandy's score is 600 points.

Here,

Mandy is playing a game.

Early in the game she had - 250 points.

Now, Mandy has 350 points.

We have to find the change of Mandy's score.

What is difference of two number?

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

Now,

Early in the game she had - 250 points.

And, now Mandy has 350 points.

So, The change of Mandy's score = 350 - (-250) = 350 + 250 = 600

Hence, The change of Mandy's score is 600 points.

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What is the answer to this math problem and how do I do it? 2/5 +9 =15

Answers

The value of x from the given linear function is 15

Solving linear function

A linear function is a function hat has a leading degree of 1

Given the equation below;

2/5x +9 =15

Subtract 9 from both sides

2/5x + 9 - 9 = 15 - 9

2/5x = 15 -  9

2/5x = 6

Multiply both sides by 5

2/5x (5) = 6(5)

2x = 30

x = 15

Hence the value of x from the given linear function is 15

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Find the distance between A(7,-7) and B(13,0). Write your answer as a radical and as a decimal rounded to the nearest tenth.

Answers

The distance between A(7,-7) and B(13,0) is 9.2 units

Distance between two points

The formula for calculating the distance between two point is expressed as;

D = √(x₋₂-x₁)²+(y₂-y₁)²

Given the coordinate points A(7,-7) and B(13,0).

Substitute

AB = √(13-7)²+(0-7)²

AB = = √(6)²+(-7)²

AB = √36+ 49

AB = √85

AB = 9.2 units

Hence the distance between A(7,-7) and B(13,0) is 9.2 units

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Vaca books has a net profit margin of 5.1 percent, a total asset turnover of 1.84, and a return on equity of 16.2 percent. what is the debt-equity ratio?

Answers

The debt-equity ratio is  0.726 : 1 or 72.64%

What is the Debt?

Debt is the product of debt ratio and total equity

Debt = debt ratio × total equity

We have been given that

Asset turnover = 1.84

Profit margin = 5.1%

Return on equity of 16.2 percent

Let we have to assume that sales are $100.

Therefore net Income = 100×0.051 = 5.1

Total Assets = 100/0.84

Total Assets = 54.35

⇒ 0.162 = 5.1 / Total equity

⇒ Total Equity = 5.1 / 0.162

⇒ Total Equity = 31.48

Total assets = Total debt + Total equity

⇒ 54.35 = Total debt + 31.48

⇒ Total debt = 54.35 - 31.48

⇒ Total debt = 22.87

The debt-equity ratio = 22.87 / 31.48

The debt-equity ratio = 0.72649 : 1 or 72.649%

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Can you please help me with this ?

Answers

Answer:

the answer is 2^x-7 = 1/3x+-1/3

graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining

find measure of MK in the image below

Answers

Answer:

ok is the corr!ctewwwdeeecceeeeecrrr\g

f(x) = -x+5, solve for x when f (x) =-10

Answers

Answer:

x=15

Step-by-step explanation:

-x+5

-15+5

= 10

-x + 5 = -10
-x = -10-5
-x= -15
then x = 15
-(15)+5= -10


Check the photo and please don’t take long I need it asap

Answers

There you go. I’m pretty sure this is right.

Step-by-step answer?

Answers

hi

a ( b +c) =  a*b +a*c

here a = -3  

        b = -4x

        c = +5

so :  

-3 ( -4x +5)  =  -3*-4x + -3* 5  

                   =  -12x + (-15)

                  = -12x -15

as I cannot add  -12x and  -15   ( they are two differents sort of figures )

so it's done

Answer:

12x - 15

Step-by-step explanation:

What you need to do for this is -3 · -4x + -3 · 5 = 12x+(-15). Which simplifies to 12x - 15.

PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING

Answers

Answer:

12/15

Step-by-step explanation:

Answer:
-1/3-4/5

Explanation:
We want to get -4/5 to the denominator /15.
You first want to multiply 5 by 3 to get to 15. This is your denominator.
Since we multiplied 5 by 3, we also need to multiply -4 by 3. This is your numerator.
Your total is -12/15. If you simplify this, you get to -4/5.
Plug your final answer to -1/3, and you get the equation to -1/3-4/5.

Hope that helped!!

Shreya took 1/2 of a cake and shweta took 1/4 of the cake. What portion of the cake is left

Answers

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4= 3/4

1 - 3/4 = 1/4 is left

Answer:

There is 1/4 left

Step-by-step explanation:

Find the amount of cake left.

The entire cake is 1

1-1/2 - 1/4

Get a common denominator of 4

1 *4/4 = 4/4

1/2 *2/2 = 2/4

Using the common denominator

4/4 - 2/4 - 1/4

2/4 - 1/4

1/4

There is 1/4 left

The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 10 feet more than twice its height. If the area of the triangle is 126
square feet, determine the length of the base and the height of the triangle in feet.
foot

Answers

The length of both the triangle's base and height in feet.

length of base = 32ft

height = 14 ft.

The triangle's base and height:

The base of a triangle can be any of its  sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.

According to the given data:

Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.

A = ¹/₂bh

b = length of base

h = height

the base of the triangle is 10 feet more than twice its height, we have that

b = 2h + 10

A = ¹/₂bh

A =  ¹/₂(2h + 10)h

A = h² + 5h

Since the area of the triangle is A = 126 ft², we have that;

h² + 5h = 126

h² + 5h - 126 = 0

h² +(14h -9h) - 126 = 0

h² +14h -9h - 126  = 0

h(h + 14) -9(h + 14) = 0

(h + 14)(h - 9) = 0

Hight cant be negative:

h = 14

Length of the base is b = 2h + 10

b = 2h + 10

b = 2(14) + 10

b = 28 + 10

b = 35 ft

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Why is the standard deviation of the distribution of means generally smaller than the standard deviation of the population of individuals?

Answers

The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

What is the standard deviation?

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.

Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

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Find an equation of the sphere determined by the given information. passes through the point (8, 3, -3), center (5, 6, 5)

Answers

The equation of the sphere is

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

The standard form of the equation of the sphere is :

[tex](x-a)^{2}+(y-b)^{2}+(z-c^{2} )=r^{2}[/tex]

Where A (a, b , c) is the center and r is the radius.

From the question we should first find the radius

r = [tex]\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2}[/tex]

Point = (x , y , z) = (8 , 3 , -3)

Center = (a, b , c)= (5 , 6 ,5)

Substituting it in the formula

r = [tex]\sqrt{(8-5)^{2}+(3-6)^{2}+(-3-5)^{2} }[/tex]

By further calculation

r = [tex]\sqrt{9+9+64}[/tex]

So, we get

r =[tex]\sqrt{82}[/tex]

Substituting it in the standard form

[tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2}=\sqrt{82}^{2}[/tex]

[tex](x-5)^{2} +(y-6)^{2} +(z-5)^{2}=82[/tex]

[tex]x^{2} +y^{2}+z^{2}+25+36+25-10x-12y-10z=82[/tex]

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+86-82=0[/tex]

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

Therefore, the equation of the sphere is

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

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Can you help me with writing a Autobiography​ .Please !!!

Answers

Answer:

Starting paragraphs:

My name is _______. I was born on a cloudy night on the ___ of _______, _____ in ___________ . My parents were very happy as they had been blessed with a baby boy/girl, and that girl/boy is me!

1 year passed by and my 1st birthday was celebrated with much joy and it turned out to be a super extravagant event.

I do not remember much of my early childhood but my parents said that I was a very active, curious and a communicative child. I would ask dozen of questions each minute, without waiting for the answers. I suppose that's why my parents offered me books as early as my third birthday.

Ending paragraph:

I am thankful for my parents, teachers and friends for making me the person who I am today.

Explanation:

Compose your autobiography with the help of the following points:

Past TenseParagraph for every new event occurring in your lifeChronological OrderPunctuationsAdjectives Personal Pronouns

Find the equation of the line that passes through points A and B.
A(1,7)
B(-3,-1)

Answers

The equation for the line that connects the locations is y = 2x + 5.

What is the Slope of a Line?

The slope of a line, commonly known as the gradient, is defined as the value of the steepness or direction of a line in a coordinate plane. Slope can be determined using many ways given the equation of either a line or the coordinates of points on the straight line. . The slope is defined mathematically as "climb overrun" (change in y divided by change in x).

According to the given data:

x₁ = 1

y₁ = 7

x₂ = -3

y₂ = -1

To obtain the equation of a line, we must first determine its slope. This is computed as:

m = [y₂ - y₁ ]/[x₂ - x₁]

Substituting the value we get:

m = [(-1) - 7 )/((-3) - 1)]

  = -8/-4

   = 2

The slope of the line = 2.

The line's intercept is:

The slope is the next step toward solving for  a such equation of the line.

A typical linear equation is presented as:

y = mx + c

Let us substitute the slope and intercept values.

y = 2x + 5

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Solve the system of equations algebraically.
4x - 3y = 6
6x - 5y = 6

Answers

Answer: x=6  y=6

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]

Divide both parts of the equation by 2:

[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]

Other Questions
Exercise 2 Draw one line under the direct object. Draw two lines under the object complement. They call earthquakes and volcanoes marvelous. Left to their own devices, most adults would probably sleep _____ hours per night What does a patient experience when they have maxed out during vergence amplitud? The worker of the future must possess specific characteristics, list the 5 qualities discussed in help pleaseeeeeeeeee its difficult I will slide brainiest Shortly after the Soviet Union invaded in 1979, he began traveling to Afghanistan to do what? a.) b.) Write an algebraic expression to represent how much money Max has saved.Max is saving to buy a car. He already has $700 saved. He will continue to earn money by cutting lawns; he earns $15 for each lawn. Let x represent the number of lawns Max cuts. The creation of new products and production methods that completely destroys the market positions of firms that are wedded to existing products and older ways of doing business is called _____. Angel owns 10 more DVDs than Philip. Choose an equationthat represents the number of DVDs Philip owns (p) as afunction of the number of DVDs Angel owns (a). A local company has K2,500 to set up an annuity to be paid quarterly for 5 years. The payments of that annuity are to be increased in line with the current interest rate. The account pays interest at 10% p.a. compounded quarterly, a) Calculate the size of each payment during the first year. b) What is the size of the final payment (payment at the end)? Which may be a cost of inflation? Higher prices Consumer panic Higher pay for workers Increased business profits According to the personality wheel. would an optimistic person be stable or unstable? Firms are buyers and households are sellers in the _____ market. a. stock b. bond c. labor product d. underground Square LMNO has vertices, L(4, 2), M(1, 2), N(1, 3), and O(4, 3). Square LMNO is translated 3 units left and 4 units up to produce square LMNO.Which coordinates describe the vertices of the image?L(7, 6), M(2, 6), N(2, 1), and O(7, 1)L(1, 6), M(4, 6), N(4, 1), and O(1, 1)L(0, 1), M(5, 1), N(5, 6), and O(0, 6)L(0, 5), M(5, 5), N(5, 0), and O(0, 0)PLS HELP ME IS ANYONE SPAMS I WILL REPORT YOU AND BAN YOU IMMEDIATLEY BUT IF CORRECT I WILL GIVE BRAINLIESTPLS HURRRY THIS IS DUE TODAY Which of the following scenarios is an example of culture being learned indirectly through observation and imitation?A.The schools soccer team begins to understand the importance of trust while listening to their coach give a lecture.B.Teens are taught the story of Moses by a church leader.C.A young girl pretends to make jambalaya that tastes as good as her brothers.D.Students participate in a lesson on patriotism thats being taught in a classroom. One of Americas basic values is that of equality? How is equality described?Everyone in a society defines freedom the same way.Everyone in a society tries to stand out as unique.Everyone in a society has the same kind of job.Everyone in a society has the same basic rights. Which of the following could be measured in meters? weight of a bag, height of a building,time it takes to reboil or temperature on a hot day Asteroids were recently formed by the collision and breakup of an object orbiting in the asteroid belt. True or false?. If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? Which was not a reason that people moved west in the late 1800s?A. The chance to own their own landB. The promise of an easy lifeC. Availability of jobs for cowboys and ranchersD. Opportunities in western mines