Decrease £28 by 7%
Increase £28 by 7%

Answers

Answer 1
Increase : 29.96
Decrease: 26.04
Answer 2

Answer:

decrease = 26.04

increase = 29.96

Step-by-step explanation:

Decrease of £28.00 by 7% = £28 -(7% of 28)

                                             = £28 - (0.07 × 28)

                                             = £28 - 1.96

                                             = £26.04

Increase of £28 by 7% = £28 +(7% of 28)

                                      = £28 +(0.7 × 28)

                                      = $28 + 1.96

                                      = £29.96

Decrease £28 by 7% would be £26.04

and increase £28 by 7% would be £29.96


Related Questions

Which sequence of transformations takes figure B to its image B'?

A. a reflection in the y-axis, followed by a translation 6 units up
B. a reflection in the x-axis, followed by a translation 2 units left
C. a reflection in the x-axis, followed by a counterclockwise rotation of 180 about the origin
D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Answers

Answer:

D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Step-by-step explanation:

Well, the first obvious step is to reflect it across the y-axis. Now, for the next step, since we do not have a 90°-clockwise rotation option, we have to go with something similar to that, which would be a 270°-counterclockwise rotation. If you think about it, since 3 × 90 is 270, and rotating this figure 90° clockwise [one rotation] would go from Quadrant III to Quadrant II, going the other way around [270°counterclockwise (three rotations)] will also go from Quadrant III to Quadrant II [to Quadrant IIII to Quadrant I to Quadrant II].

I am delighted to assist you anytime my friend.

Answer:

The answer i choose is D

Step-by-step explanation:

i choose D because 1.) i you worked out answer A than it would be sideways and wouldn't even fit on the board.  2.) if you worked out problem B than you will notice that the figure will end up sideways again.  3.) if you did answer C than you don't even end up in the right quadrant of the board

so you are left with D.) a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Gary and Ann have a joint checking account. Their balance at the beginning of October was $9145.87.
During the month they made deposits totaling $2783.71, wrote checks for $4871.90, paid a maintenance
fee of $12, and earned $11.15 in interest on the account. What was the balance at the end of the month?


Answers

Answer:

The balance at the end of the month was $7,056.83

Step-by-step explanation:

we know that

The balance at the end of the month is equal to the balance at the beginning of the month plus deposits and interest minus checks and maintenance fee

so

9,145.87+(2,783.71+11.15)-(4,871.90+12)

9,145.87+(2,794.86)-(4,883.90)=$7,056.83

Answer:

The balance was $ 7,056.83

Step-by-step explanation:

Given,

The original balance in beginning of the month = $9145.87,

The amount of deposit =  $2783.71,

So, new balance after depositing = $9145.87 + $2783.71 = $ 11929.58,

Check amount = $4871.90,

After clearing check, the new balance = $ 11929.58 - $ 4871.90 = $ 7057.68,

Also, after charging $ 12 fees, new balance = $ 7057.68 - $ 12 = $ 7045.68,

Finally getting $ 11.15 interest,

The final balance at the end of month  = $ 7045.68 + $ 11 = $ 7,056.83

3x + 1 = 8 I need the steps and answer.

Answers

3x + 1 = 8

move +1 to the other side

sign changes from +1 to -1

3x+1-1= 8-1

3x= 7-1

divide by 3 for both sides to get x by itself

3x/3= 7/3

Answer:

x= 7/3 and x= 2 1/3

Answer:

[tex]\large\boxed{x=\dfrac{7}{3}=2\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]3x+1=8\qquad\text{subtract 1 from both sides}\\\\3x+1-1=8-1\\\\3x=7\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{7}{3}\\\\x=\dfrac{7}{3}[/tex]

Please need help on this please

Answers

Answer:

C

Step-by-step explanation:

Given

x² - 10x + 24 = 0

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 10 = - 10, hence

(x - 4)(x - 6) = 0 ← in factored form → C

Answer:

○ C (x - 4)(x - 6)

Step-by-step explanation:

According to the Quadratic Equation of x² - 10x + 24, you have to find two numbers that when added up to 10, they also multiply up to 24, and those would be 4 and 6, and determining which signs each quantities get would depend on the sign in the midst of the equation [-], so in this case, both 6 and 4 get the negative symbol because -6 - 4 gives you -10, which is what you see in the midst of the equation. So with that, you have your answer.

I am joyous to assist you anytime.

if f(1) =160 and f(n+1) = -2f(n), what is f(4)?

Answers

Answer:

-1280.

Step-by-step explanation:

f(n + 1) = -2 f(n):

As  function of 1 = 160,  function of 2 = -2 * 160 = -320.

function of 3 = -320 * -2 =  640  and

= function of 4 = 640 * -2 = -1280.

Can someone help me with this problem? It has to be in PEMDAS order. 16+(4*2/2)-4

I think it's 18 but I'm not sure

Answers

Answer:16

Step-by-step explanation:

4*2 is 8/2 is 4 + 16 is 20 - 4 is 16

Answer:

16

Step-by-step explanation:

According to PEMDAS:

First do operations within parentheses.

Then you do exponents.

Then you do multiplication and division (or division and multiplication), working left to right.

Finally, you do addition and subtraction (or subtraction and addition), working left to right.

16 + (4 × 2 / 2) − 4

First, we start with what's in the parentheses.  We have multiplication and division.  Working left to right:

16 + (8 / 2) − 4

16 + 4 − 4

Now we have addition and subtraction.  Working left to right:

20 − 4

16

Subtract using the number line.

−13−123

Select the location on the number line to plot the point.

Answers

Answer: -136

Step-by-step explanation:

123+13 is 136 you then change 136 into a negative since you were subtracting 123 from -13

Answer:

-136  

Step-by-step explanation:

Here the given problem,

-13 - 123,

By using number line, we will follow the following steps,

Step 1 : Start from -13 in the number line,

Step 2 : Since, -123 is a negative number so, move 123 units left side from -13,

Step 3 : We will get -136, which is the answer.

That is,

-13 - 123 = -136

Read and answer pls!!20 points only if you know

Answers

Answer:

5/4 -6

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportionality

y = [tex]\frac{2}{5}[/tex] x - 4 ← is not in this form

Thus does not represent a proportional relationship

The quotient of a number and 3 is 8

Answers

Hey!

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

[tex]\boxed{ \bf n~/~3~=~8}[/tex]

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

Solution:

Number = n

Quotient of a number and three: n / 3

Is eight: = 8

End Result: n / 3 = 8

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

Hope This Helped! Good Luck!

what is 3.149 rounded to the nearest hundredth

Answers

Answer:

3.15

Step-by-step explanation:

3.149 rounded to the nearest hundredth is 3.15.

We have,

To round a number to the nearest hundredth, we look at the digit in the thousandth place.

In this case, the digit in the thousandth place is 4.

Since the digit 4 is greater than or equal to 5, we round up the digit in the hundredth place, which is 9.

Therefore, the number 3.149 is rounded up to 3.15 when rounded to the nearest hundredth.

Thus,

3.149 rounded to the nearest hundredth is 3.15.

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A block of oak has volume of 200 cubic centimeter and weighs 0.12 kilograms. What is its density? Will it floats on water?

Answers

Answer:

Density  = Mass (grams) / Volume (Milliliters)

Density = 120 grams / 200 ml

Density = .60 grams per ml

Density is less than 1 so it will float on water.

Step-by-step explanation:

Step-by-step explanation:

It is given that,

Volume of the block of oak, V = 200 cc

Mass of the block of oak, m = 0.12 kg = 120 grams

The density of any substance is given by mass per unit volume. mathematically, it is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]d=\dfrac{120\ g}{200\ cm^3}[/tex]

[tex]d=0.6\ g/cm^3[/tex]

So, the density of the block of oak is [tex]0.6\ g/cm^3[/tex]. The density of water is [tex]1\ g/cm^3[/tex]. So, it will float on water as the density of the block of oak is less than water.

Find the slope for (3,4) and (3,-4)

Answers

Answer:

undefined

The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 ,  4)

-(3  , -4)

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

0      8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run.  Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

James purchases a property for $150,000 in 2015. In the first year of ownership the capital appreciation of the property (how much its value increases by per annum) is 4%. In year 2, the housing market suffers a crash and the house experiences a capital depreciation of 6%. Calculate the value of the property, to the nearest $1,000, at the end of year 2. Round your answer to the nearest $1,000.

Answers

Answer:

$147,000

Step-by-step explanation:

After 1st year:

we need to increase 150,000 by 4%. That means the value would be 150,000 multiplied by 1.04. So:

150,000 * 1.04 = 156,000

After 2nd year:

The new appreciated value of 156,000 will now suffer a loss of  6%. So we need to find the new value by multiplying 156,000 by 0.94 (6% loss). So:

156,000 * 0.94 = 146,640

To the nearest 1000, this would be $147,000

a raffle collects $30 for 6 tickets. Each ticket costs the same price. What ia the cost per ticket?​

Answers

Answer:5

Step-by-step explanation:30÷6=5

Answer:

5 is how much each ticket costs

What are the three main types of money?
A) credit, commodity, representative
B) fiat, commodity, credit
C) representative, credit, fiat
D) commodity, representative, fiat

Answers

Answer:

D)commodity,representative,filat

Answer:

Physical money. Physical money, meaning cash and coins, is created by the US Treasury. ...

Central bank reserves. Central bank reserves are a type of electronic money, created by the Federal Reserve and used by banks to make payments between themselves. ...

Commercial bank money.

Step-by-step explanation:

1. Is the relationship shown by the data linear? If so, model the
data with an equation.

Answers

C. The relationship is linear; y-5 = 2(x+7)

4y+2x=180 solve for x and y

Answers

There you go!! Hope it helps

The formula for the area of a triangle is A= bh, where b is the base of the triangle and h is the height of the triangle. What is the length of
the base if the area is 32 cm and the height is 4 cm?
A 4 cm
B. 8 cm
C. 16 cm
D. 18 cm

Answers

8cm cuase 32 is how área and your look for the base(b) and height (h) so you multiply 4 witch is your (h) and your lookin for you (b) and is going to be 8 cuase 4 times 8 is 32 witch is you area (a) so the answer is 8 cm for you (b)

The length of the base of a triangle with the given area and height is equal to [tex]8\ cm[/tex].

What is triangle?

" Triangle is defined as the two dimensional geometric shape with three vertices, three sides, and three interior angles enclosed in it."

Standard formula

Area of the triangle [tex]\frac{1}{2} \times base \times height[/tex]

According to the question,

Given,

Given formula of the area of the triangle [tex]= bh[/tex]

[tex]'b'[/tex] represents the base of a triangle

[tex]'h'[/tex] represents the height of a triangle

Area of the triangle [tex]= 32 \ cm^{2}[/tex]

Height of the triangle [tex]= 4 \ cm[/tex]

Substitute the value in the given formula we get,

[tex]32= b\times 4\\\\\implies b = \frac{32}{4} \\\\\implies b = 8 \ cm[/tex]

From standard formula

[tex]32 = \frac{1}{2} \times base \times 4\\\\\implies base = \frac{32\times 2}{4}\\ \\\implies base = 16 \ cm[/tex]

Hence, Option(B) is the correct answer.

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y = 0.5x +3

Evaluate the function.
a) f(-10)

Answers

Answer:

-2

Step-by-step explanation:

y=.5(-10)+3

y=-5+3

y=-2

Kevin walks 2/3 of a mile in 2/5 of an hr. How many miles can he walk in 1 hr

Answers

Your answer would be 6/10, or 3/5

(2 / 5) / (2 / 3) = 0.6

and 0.6 as a fraction is 6/10

6/10 simplified is 3/5

Hopefully I got this right, I'm not 100%

How do you calculate your overall gpa from your cumulative gpa?

Answers

Answer:

Your grade point average (GPA) is calculated by dividing the total amount of grade points earned by the total amount of credit hours attempted. Your grade point average may range from 0.0 to a 4.0. To get the example student's GPA, the total grade points are divided by the total credit hours attempted. To calculate your cumulative G.P.A., total the credit hours and then the grade points from all semesters. Divide the total grade points by the total credit hours.

Hope this helps.

Final answer:

To calculate your overall GPA from your cumulative GPA, multiply each grade by the number of credit hours, sum up all the grade points, and divide by the total number of credit hours.

Explanation:

To calculate your overall GPA from your cumulative GPA, you will need to determine the total number of grade points earned and the total number of credit hours taken. To do this, multiply each grade received by the number of credit hours for that course. Then, sum up all the grade points and divide by the total number of credit hours. This will give you your overall GPA.

Here is an example:

Course A: Grade - B (3.0), Credit Hours - 3Course B: Grade - A (4.0), Credit Hours - 4Course C: Grade - C (2.0), Credit Hours - 2

Total grade points: (3.0 x 3) + (4.0 x 4) + (2.0 x 2) = 9.0 + 16.0 + 4.0 = 29.0

Total credit hours: 3 + 4 + 2 = 9

Overall GPA: 29.0 / 9 = 3.22

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Solve the equation 5.3g+9=2.3g+15.

Answers

g=2

5.3g+9−2.3g=2.3g+15−2.3g

3g+9=15

3g+9−9=15−9

3g=6

3g/3=6/3

therefore, g=2

hope i helped ^__^

Answer:

The solution for the equation is [tex]g=2[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]5.3g+9=2.3g+15[/tex]

Subtract 2.3g from both sides.

[tex]5.3g-2.3g+9=2.3g-2.3g+15[/tex]

[tex]3g+9=15[/tex]

Subtract 9 from both sides.

[tex]3g+9-9=15-9[/tex]

[tex]3g=6[/tex]

Divide both sides by 3.

[tex]\frac{3g}{3}=\frac{6}{3}[/tex]

[tex]g=2[/tex]

Hence, the solution for the equation is [tex]g=2[/tex].

20 Points, Please explain answer.

Lia claims that a reflection over the y-axis will always carry a circle drawn on the coordinate plane to a circle with the same center and the same radius. Which statement best describes Lia's claim?

A
Lia is correct as a reflected circle will always have the same center and always have the same radius as the original circle.

B
Lia is incorrect as a reflected circle will not always have the same radius and will not always have the same center as the original circle.

C
Lia is correct in stating that the reflected circle will always have the same radius, but is incorrect in stating that the reflected circle will always have the same center.

D
Lia is incorrect in stating that the reflected circle will always have the same radius, but is correct in stating that the reflected circle will always have the same center.

Answers

Answer: YOUR ANSWER WOULD BE B

Step-by-step explanation: Your answer would be B because when you reflect something on the y-axis it always goes one cube or dashed line forward so it will not have the same radius nor the circle hope this helps you alot

Answer:

C. Lia is correct in stating that the reflected circle will always have the same radius, but is incorrect in stating that the reflected circle will always have the same center.

Step-by-step explanation:

Lia's claim is not correct, because when we reflect a figure, its coordinates variate. In this case, Lisa is trying to reflect a circle over the y-axis, which will change y-axis coordinates. The center of the circle is gonna change its y-axis coordinate, for example, if the center is [tex]C(2;3)[/tex], its reflection will be [tex]C(2;-3)[/tex]

Therefore, the center of the circle will not remain the same. However, the radius will be the same, because changing y-axis coordinates don't affect the distance between the center and the circumference of the circle.

So, the correct answer is option C.

Find the value of y for which a the values of 5y+3 and 36–y are equal

plzzzz

Answers

Answer:

11/2

Step-by-step explanation:

5y+3=36-y

1) Subtract 3 from both sides:

5y=33-y

2) Add y to both sides:

6y=33

3) divide both sides by 6:

y=33/6

4) Simplify the fraction:

11/2

The value of y for which the values of 5y+3 and 36–y are equal = 11 / 2.

How to find the Value of the equation?

Given:

5y+3 and 36-y

To find:

the value of y.

Step 1

Let the equation be

5y+3 = 36-y

Subtract 3 from both sides of the above equation

5y+3-3 = 36-y-3

Simplifying the equation, we get

5y = -y+33

Step 2

Adding y to both sides

5y+y = -y+33+y

Simplify

6y = 33

Divide both sides by 6, then we get

6y / 6 = 33 / 6

Simplify

y =11 / 2

Therefore, the correct answer is y = 11 / 2.

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3/2x - 2/3x=2
I need the answer for this, please. And with steps on how you got the answer because I dont understand it. Find the value for x

Answers

Answer

[tex]x = 0 \: or \: 4.17 \times {10}^{ - 1} [/tex] ( 5 /12 )

[tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]

multiplying the denominators to get the L.C.M since there is no common factor.

[tex]2x \times 3x = 6 {x}^{2} [/tex]

as the L.C .M

so now the general equation becomes

[tex] \frac{ \frac{3}{2x} - \frac{2}{3x} }{6 {x}^{2} } = 2[/tex]

[tex] \frac{9x - 4x}{6 {x}^{2} } = 2[/tex]

[tex]5x = 6 {x}^{2} \times 2[/tex]

[tex]5x = 12 {x}^{2} [/tex]

[tex]12 {x}^{2} - 5x = 0[/tex]

factorizing x

[tex]x(12x - 5) = 0[/tex]

[tex]x = 0[/tex]

[tex]12x - 5 = 0[/tex]

[tex]12x = 5[/tex]

[tex]x = \frac{5}{12} [/tex]

[tex]x = 0.416[/tex]

[tex]x = 4.17 \times {10}^{ - 1} [/tex]

A house has increased in value by 34% since it was purchased the current value is 469,000 what is the value when it was purchased

Answers

Final answer:

The original purchase price of the house was approximately $350,000. This is determined by dividing the current value by 1.34, since the current value represents 134% of the original price. Housing prices generally rise over time, but there can be periods of significant drop.

Explanation:

To find the original purchase price of the house before the increase, we need to understand that the current value represents 100% + 34% = 134% of the original price. Therefore, we can set up the equation 469,000 = 1.34*X, where X is the original value. We can solve for X by dividing both sides by 1.34, which gives X = 469,000 / 1.34, approximately $350,000. Therefore, the house was purchased for about $350,000.

It is important to note that housing prices can fluctuate over time. For example, housing prices have usually risen steadily over time but there are periods where they have dropped significantly, like the housing bust between 2008 and 2009. However, housing is typically considered a safe financial investment over the long term.

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This is solving polynomial equations with factoring, “algebra” I have no idea how to start this problem or even solve it. Please help!

Answers

[tex]\bf x^2-ax+bx-ab=0\implies \stackrel{\textit{grouping first}}{(x^2-ax)+(bx-ab)}=0 \\\\\\ \stackrel{\textit{common factor}}{x\underline{(x-a)}+b\underline{(x-a)}}=0\implies \stackrel{\textit{common factor}}{\underline{(x-a)}(x+b)}=0\implies \begin{cases} x-a=0\\ \boxed{x=a}\\ \cline{1-1} x+b=0\\ \boxed{x=-b} \end{cases}[/tex]

LAST ONE PLS HELP

Adding which of the following ordered pairs to the set {(1,-2), (0,4), (2,-3)} would make it not a function?

A. (-1, -2)
B. (3, 5)
C. (0, 2)
D. (-2, 1)

Answers

It's D.

It might be wrong, but if i was to answer, this is what i would put.

Answer: Hello there!

your set is  {(1,-2), (0,4), (2,-3)} where the pairs have the form (x,y)

You want to know with pair you need to add to this set in order to make it "not a function"

The priority rule for a function is the unicity; this means that each value of x has only one value of y associated; or:

if f(x) = y1 and f(x) = y2, then y1 = y2

(notice that a given value of y can be related to different values of x; for example the function f(x) = x^2 has the same y value for x and -x)

Then the problem is if we add the pair (0,2), of option C.

because we already have a pair with the value of x = 0, in the form of (0,4), and these two pairs would have a different value of y for the same value of x, then this set doesn't represent a function anymore.

Then the correct option is C

If the points (0,0), (-1, 1), and (-2,2) lie on the graph of function h, then which of the following rules could represent the
function?

Answers

Answer: h(x) = |x|

Explanation:

h(0) = |0| = 0

h(-1) = |-1| = 1

h(-2) = |-2| = 2

Answer: the second one

Hope that helps

Imagine math
I need help
Algebra 2
Leave answers from left to right thank you

Answers

Finally, we'll drag the corresponding domain description into the box under each graph based on our analysis.

For the first graph, drag "all real numbers".For the second graph, drag "all real numbers except [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex]".For the third graph, drag "all real numbers between -3 and 3".

To answer the question presented in the image, we need to match each graph with its corresponding domain. Here's how to determine the domain for each graph step by step:

1. Examine the first graph:

Look at where the graph exists along the x-axis. If the graph covers the entire x-axis without any breaks, then the domain is all real numbers. If there are breaks or gaps, note the intervals where the graph does not exist.

2. Examine the second graph:

Repeat the process, looking for gaps along the x-axis.Check if the graph is only above or below the x-axis to see if it's only positive or negative real numbers. Look for vertical lines that the graph might approach but not touch (asymptotes), which would indicate values that are not included in the domain.

3. Examine the third graph:

 Again, look for any breaks along the x-axis.  Determine if the graph is bounded within a certain range on the x-axis.

Now, let's apply this process to each graph in the uploaded image:

First Graph: The graph covers all x-values without any breaks, so its domain is "all real numbers".Second Graph: The graph has a break at [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex], so the domain is "all real numbers except [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex]".Third Graph: The graph exists only between [tex]\( x = -3 \)[/tex] and [tex]\( x = 3 \)[/tex], so the domain is "all real numbers between -3 and 3".
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The current practice by many U.S. businesses is to move their manufacturing plants to developing countries.This will almost certainly cause workers in those countries to experience many changes.Which of the following changes would most likely occur?A.The security in the region will stabilize.B.Their governments will adopt democratic reforms.C. Religious tolerance will be broadened.D.Economic opportunities for the people will improve. What is literati?a.a type of calligraphyb.refers to the scholarly classc.Chinese art that contains all of the elements of natured.none of the abovePlease select the best answer from the choices providedABCD Which two objects below are in contrast to one another?A)a basketball and a footballB)a piano and a clarinetC)a car and an airplaneD)a flower and a skyscraper For an unknown sample of the experiment, students measure 1679 counts when they first receive their sample and 1336 counts four minutes later. Calculate the half-life t1/2of their sample. Question 7(Multiple Choice Worth 3 points) Minerals form during I. crystallization in magma. II. deposition from solution III. lithification in rocks I only Il only I and Il only I, II, and lIl . The __________ is a set of recommended or best practices for organizations using payment cards. Enzo takes Vendela to see a horror movie on their first date. He knows that people who feel strong emotions rely on situational cues to label the emotion. He hopes that the film will increase the activity in Vendela's nervous system and that she will interpret the arousal as attraction to him. Enzo is relying on theA) two-factor theory of emotion.B) upward comparison.C) facial feedback hypothesis.D) Cannon-Bard theory. 2x+y=8What is the work for it? 15. In most natural populations rapid exponential growth is unsustainable. As populations increase, environmental resistance causes the growth rate to slow down, until carrying capacity is reached. Brainstorm several factors that could be considered as environmental resistance. 1. Classify the equation 7x + 3 = 7x - 4as having one solution, no solution, orinfinitely many solutions. What happens to the total energy as the skater moves down and up the U-shaped ramp? Sarah begins at a negative position along the x-axis. Sarah moves in the positive x-direction, turns around and then moves in the negative x-direction. Her final position is more negative that her initial position. Is the magnitude of Sarah's displacement greater than, less than, or equal to the distance she travels? 4. A student purified a 500-mg sample of phthalic acid by recrystallization from water. The published solubility of phthalic acid in 100 mL of water is 0.54 g at 14 oc and 18 g at 99 0C. (a) What is the smallest volume of boiling water the student could use to dissolve 500 mg of phthalic acid? What's the difference between accuracy and percision in measuring and gaging? Question 1(Multiple Choice Worth 3 points) (01.01 LC) Krista used to enjoy ocean kayaking, but her family moved away from the beach. She is not sure that she wants to join any teams and she does not know if any other activities in her area interest her. What should Krista do? Join a team at school so she is not alone Review a map to learn about lakes and parks in her new neighborhood Research parks in her area to learn about new activities to try Exercise only when she visits her old neighborhood where she can go kayaking House of Pianos, Inc., purchases pianos from a well-known manufacturer and sells them at the retail level. The pianos sell, on the average, for $3,300 each. The average cost of an piano from the manufacturer is $1,492. The costs that the company incurs in a typical month are presented below: Costs Cost Formula Selling: Advertising ......................................... $955 per month Delivery of pianos ............................... $61 per piano sold Sales salaries and commissions............. $4,823 per month, plus 4% of sales Utilities ............................................... $633 per month Depreciation of sales facilities .............. $4,944 per month Administrative: Executive salaries ................................ $13,490 per month Depreciation of office equipment .......... $943 per month Clerical ............................................... $2,499 per month, plus $37 per piano sold Insurance ........................................... $719 per month During November, the company sold and delivered 60 pianos. Required: 1. Prepare a traditional income statement for September. 2. Prepare a contribution format income statement for September. Show costs and revenues on both a total and a per unit basis down through contribution margin. 3. Refer to the income statement you prepared in (2) above. Why might it be misleading to show the fixed costs on a per unit basis? At a certain elevation, the pilot of a balloon has a mass of 125 lb and a weight of 119 lbf. What is the local acceleration of gravity, in ft/s2, at that elevation? If the balloon drifts to another elevation where g = 32.05 ft/s2, what is her weight, in lbf, and mass, in lb? jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?the food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake? technogy can help governments handle economic emergencies such as The molar absorptivity for aqueous solutions of phenol at 211 nm is 6.17x103L/mol/cm. Calculate the linear range of phenol concentrations if the transmittance is to be less than 85% and greater than 7% when the measurements are made in 1cm cell.