Mary invests £12000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment after 2 years

Answers

Answer 1

Answer:

hey i did this on my quiz trust me

Step-by-step explanation

12,362.70 trust me i did this i just dont know exactly how to explain this


Related Questions

what is the range of the relation (-2 ,7), (7 ,2), (2, 7)​

Answers

Answer:

Range:

{−7,−2,1,2}

Step-by-step explanation:

What is the answer to the question above

Answers

Answer:   [tex]\bold{\dfrac{2}{65}}[/tex], Dependent

Step-by-step explanation:

[tex]\dfrac{\text{\# of vowels}}{\text{total \# of letters}}[/tex]

1st draw  and   2nd draw

     [tex]\dfrac{5}{26}[/tex]        x           [tex]\dfrac{4}{25}[/tex]     =     [tex]\dfrac{20}{650}[/tex]

[tex]\dfrac{20}{650}\div\dfrac{10}{10}=\dfrac{2}{65}[/tex]

This is dependent because the number of vowels remaining for the 2nd draw is dependent on whether or not a vowel was chosen on the 1st draw.

suppose f(x)=x^2 and g(x)=(1/5x)^2. Which statement best compares the graph of g(x) with the graph of f(x)?

Answers

Answer:

g(x) is the image of f(x) after stretched horizontally

by scale factor = 5

Step-by-step explanation:

∵ f(x) = x² ⇒ quadratic function

∵ g(x) = (1/5 x)² ⇒ The image of f(x) after one transformation

* Stretches or compresses horizontally:

  It means stretches away from the y-axis

  or compresses toward the y-axis

* If f(x) = (ax)²  :

∵ |a| > 1 is a compression by factor of 1/a

∵ 0 < |a| < 1 is a stretch by factor of 1/a

x-coordinate of f(x) multiplied by 1/5

∵ 0 < 1/5 < 1

∴ The transformation is ⇒ stretched horizontally

∴ g(x) is the image of f(x) after stretched horizontally

  by scale factor = 1 ÷ 1/5 = 5

Which are equivalent to the expression x^1/2 * x^1/2

Answers

Answer:

x and see others below

Step-by-step explanation:

To find the equivalent expression, multiply the terms using exponent rules.

Exponent rules state to add the exponent of same bases being multiplied.

[tex]x^{\frac{1}{2}} *x^{\frac{1}{2}} =x^{\frac{1+1}{2}} =x^{\frac{2}{2}} = x^1 = x[/tex]

Each of the parts of the expression are equivalent. The simplified equivalent expression is x.

A park is in the shape of a parallelogram. The park has an area of 776.25 square yards. The base of the park is 34.5 yards. marta wants to jog 10 sprints. each sprint is the same distance as the height of the park. how far will Marta sprint?

Answers

Answer:

The height is given by: 776.5 / 34.5 = about 22.5 yards. So....10 times this is about 225 yards.

I need some help with this question

Answers

Check the picture below.

namely, is the volume of the rectangular prism Paraffin, equals or less than the volume of the cone made from it?

[tex]\bf  \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=8\\ w=6\\ h=4 \end{cases}\implies V=8\cdot 6\cdot 4\implies \boxed{V=192} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=25 \end{cases}\implies V=\cfrac{\pi (5)^2(25)}{3}\implies \boxed{V\approx 654.5}[/tex]

well, clearly the cone has enough room to take the 192 cm³.

square root 4x divided by 2x+1= 3 solve

Answers

sqrt(4x) / 2x + 1 = 3

Set domain :

2x + 1 cannot equal 3

2x cannot equal 2 | :2

x cannot equal 1

sqrt(4x) = 3(2x + 1)

sqrt(4x) = 6x + 3

4x = 36x^2 + 9

36x^2 - 4x + 9 / f(x) = ax^2 + bx + c

16-4*36*9

16-1296 = - 1280

There's no solutions in Real Number set.

Answer:

See the image for solution

Use a graph to find x and y values that make both y=-x+3 and y=2x−5 true.

Answers

Final answer:

Two lines y = -x + 3 and y = 2x - 5 are graphed to find their intersection, which gives the x and y values that satisfy both equations.

Explanation:

To find x and y values that satisfy both equations y = -x + 3 and y = 2x - 5, we need to graph these equations and look for their point of intersection.

Start by plotting the line y = -x + 3. For example, when x=0, y=3 and when y=0, x=3.Next, plot the line y = 2x - 5. Here, when x=0, y=-5 and when y=0, x=2.5.Draw both lines on the same set of axes. The point where they cross is the solution to the system of equations.

The intersection represents the x and y values that make both original equations true simultaneously. Use the graph to identify the coordinates of this point for the exact solution.

Out of the choices provided, only [tex]$(-3,5)$[/tex] lies on the intersection of the two lines. Thus the answer is a. [tex]$(-3,5)$[/tex].

Here's a step-by-step solution to find the x and y values that satisfy both equations:

1. Graph the Equations:

    Take the first equation, y = -2/3x + 3. This equation is in slope-intercept form (y = mx + b), where m (slope) is -2/3 and b (y-intercept) is 3.

     -   Plot the y-intercept (3) on the y-axis.

      -  Since the slope is -2/3, remember "rise over run." So in this case for every 2 positions you move down (because it's negative), you move  3 positions to the right. Plot another point based on this movement.

       - Connect these two points with a straight line.

  -  Repeat the process for the second equation, y = 2x - 5. This equation is also in slope-intercept form with m (slope) as 2 and b (y-intercept) as -5.

       - Plot the y-intercept (-5) on the y-axis.

       - The slope is 2, so for every 2 positions you move up, you move 1 position to the right. Plot another point based on this movement.

       - Connect these two points with a straight line.

2. Find the Intersection Point:

   - Observe the graph. The point where the two lines intersect represents the solution where both equations are true simultaneously.

   - In this case, the lines intersect at the point (-3, 5).

Verification:

   - You can substitute x = -3 and y = 5 in both the original equations and see if they hold true.

      - For y = -2/3x + 3, substituting x = -3 gives you y = (-(2/3) [tex]\times[/tex] (-3)) + 3 = 2 + 3 = 5 (which is true).

      - For y = 2x - 5, substituting x = -3 gives you y = (2 [tex]\times[/tex] -3) - 5 = -6 - 5 = -11 (which is not true).

Therefore, the solution (x, y) that makes both equations true is (-3, 5). This is the point where the two lines intersect on the graph.

The graph is provided below.

Solve the equation and check your answer 6 1/2=1 1/4 +n

Answers

The answer 5 (1/4) because if you add 1 and a quarter to it then that would make it 6 and a half

Answer:

B, C,and E

Step-by-step explanation:

edge 2020

Sam conducted a survey to find out the favorite weekend activity of the students in his middle school. He asked 20 of his classmates. He found out that the favorite weekend activity of his middle school is playing video games because 75% of the students he surveyed liked to play video games. Explain why Sam’s sample may not be valid. Provide 2 or 3 sentences of explanation with facts to support your answer. How could Sam improve his survey to be more representative of his school?

Answers

Answer

So, Sam only asked 20 people in his entire middle school. That is a very small fraction of the amount of kids attending that school. He cannot say that video games is 75% of the entire school's favorite weekend activity if he only asked 20 people. To get a better, more valid result, he should ask around 100+ kids.

Step-by-step explanation:

c. Based on the graph, what does point ( 10,100) represent? d. Write an equation to represent the relationship between cost (c) and business hours (h): please help me with this im stuck

Answers

Answer:

Step-by-step explanation:

c. The point (10,100) reprensents that after 10 business hours, it costs $100 for electricity

d. c=10h

Can someone explain to me how to do this? :

8^2y+4 = 16^y+1

Answers

Answer:

y = -4

Step-by-step explanation:

Assuming the problem is [tex]8^{2y+4}=16^{y+1}[/tex], it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- [tex]2^3[/tex] and [tex]2^4[/tex], we can rewrite the original equation by substituting those in:

[tex](2^3)^{2y+4}=(2^4)^{y+1}[/tex]

When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:

[tex]2^{3\cdot(2y+4)}=2^{4\cdot(y+1)}\\2^{3\cdot2y+3\cdot4}=2^{4\cdot y+4\cdot1}\\2^{6y+12}=2^{4y+4}[/tex]

With both of our bases the same, we can now simply compare their exponents directly to solve for y:

[tex]6y+12=4y+4\\2y=-8\\y=-4[/tex]

Simplify the expression.
4(-8x + 5) – (-33x – 26) =

Answers

The simplified expression is x + 46.

To simplify the expression, let's distribute and simplify each term:

4(-8x + 5) - (-33x - 26)

First, distribute 4 into -8x + 5:

= -32x + 20

Then, distribute -1 into -33x - 26:

= -32x + 20 + 33x + 26

Now, combine like terms:

= (-32x + 33x) + (20 + 26)

= 1x + 46

= x + 46

So, the simplified expression is x + 46.

What is the area of the tile?

Answers

The area of the tile is 9 square inches.

Area of the tile;

The area of the tile is given by a product of length and width.

Given

The length of the tile = 3 inches

The width of the tile = 3 inches

The area of the tile is defined as the length of the tile and width of the tile.

[tex]\rm Area \ of \ the \ tile=Length \times Width\\\\[/tex]

Substitute all the values in the formula;

Area of the tiles = length × width

Area of the tile = 3 × 3

Area of the tile = 9

Hence, the area of the tile is 9 square inches.

To know more about Area click the link given below.

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Final answer:

The area of a square (side*side) tile with sides of 3 inches is 9 square inches.

Explanation:

The question is asking for the area of a square tile with a side length of 3 inches. In mathematics, the area of a square can be found using the formula Area = side².

So, in this case, the area would be 3² = 9.

This means that the area of the tile is 9 square inches.

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chris and Jana bith measured the distance they live from yhe school. Jana lives closet yhan chris.if chris lives 2/3 mile from the school how far does jana live​

Answers

Let x= the distance that Jana lives from school. Then, x < 2/3

The sum of a number and six is multiplied by -3. The result is equal to four. What is the number?

Answers

The equation would look like this: -3(x + 6) = 4. Then solve to find x.

-3x -18 = 4 → -3x = 22 → x = -7.3

You can substitute this number into the equation to check.

-3(-7.3 + 6) = 4 → 3.9 = 4. As you can see the number isn't exact becuase -7.3 is a repeating decimal.

Answer:

-7 1/3

Step-by-step explanation:

what is the expression in factored form? 9x^2-12x+4​

Answers

Answer:

[tex]\boxed{\bold{\left(3x-2\right)^2}}[/tex]

Step By Step Explanation:

Rewrite [tex]\bold{9x^2-12x+4}[/tex]

[tex]\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}[/tex]

Rewrite Equation

[tex]\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}[/tex]

Apply Perfect Square Formula [tex]\bold{\left(a-b\right)^2=a^2-2ab+b^2: \ a=3x,\:b=2}[/tex]

[tex]\bold{\left(3x-2\right)^2}[/tex]

ANSWER

[tex]9 {x}^{2} - 12x + 4 = (3x - 2) ^{2} [/tex]

EXPLANATION

The given expression is

[tex]9 {x}^{2} - 12x + 4[/tex]

This is in the form

[tex]a {x}^{2} + bx + c[/tex]

[tex]a=9,b=-12 ,c=4[/tex]

[tex]ac=9 \times 4 = 36[/tex]

Split with -6x-6x

[tex]9 {x}^{2} - 6x - 6x + 4[/tex]

[tex] = 3x( 3x - 2) - 2(3x - 2)[/tex]

Factor further to obtain,

[tex] = (3x - 2)(3x - 2)[/tex]

[tex] = (3x - 2) ^{2} [/tex]

pls help will give brainliest and 5star plssssss

Answers

2)

P(4,-4) -->(-4, 7)

4 - 8 = -4           -------->left 8

-4 + 11 = 7         -------->up 11

Answer: left 8;  up 11

3)

C(3,-1) , left 4 up 1

3 - 4 = -1    -------->left 4

-1 + 1 = 0   -------->up 1

a)

(x , y) -->(x - 4 , y +1)

C(3, -1) -->C'(-1 , 0)

b)

(x , y) --> (x - 4, y + 1); (-1 , 0)

BC is parallel to DE. What is the length of CE?

A) 2 1/3
B) 2 2/3
C) 3 1/3
D)3

Answers

Is there supposed to be a picture

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

Given : BC is parallel to DE

To Find : What is the length of CE?

Solution :

AB = 3

BD = 2

AC = 4

Since BC || DE

So, [tex]\frac{AB}{BD}=\frac{AC}{CE}[/tex]

[tex]\frac{3}{2}=\frac{4}{CE}[/tex]

[tex]CE=\frac{4 \times 2}{3}[/tex]

[tex]CE=\frac{8}{3}[/tex]

[tex]CE=2\frac{2}{3}[/tex]

Hence the length of CE is [tex]2\frac{2}{3}[/tex]

The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1

Answers

Answer:

Option d. [tex]4y+2x\leq -1[/tex]

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a) [tex]y\geq2x+8[/tex]

we have

[tex]x=5, y=-3[/tex]

Substitute the value of x and the value of y in the inequality and then compare the results

[tex]-3\geq2(5)+8[/tex]

[tex]-3\geq18[/tex] -----> is not true

therefore

the ordered pair is not a solution

case b) [tex]-2y<3x-9[/tex]

we have

[tex]x=5, y=-3[/tex]

Substitute the value of x and the value of y in the inequality and then compare the results

[tex]-2(-3)<3(5)-9[/tex]

[tex]6<6[/tex] -----> is not true

therefore

the ordered pair is not a solution

case c) [tex]y-2x>5[/tex]

we have

[tex]x=5, y=-3[/tex]

Substitute the value of x and the value of y in the inequality and then compare the results

[tex]-3-2(5)>5[/tex]

[tex]-13>5[/tex] -----> is not true

therefore

the ordered pair is not a solution

case d) [tex]4y+2x\leq -1[/tex]

we have

[tex]x=5, y=-3[/tex]

Substitute the value of x and the value of y in the inequality and then compare the results

[tex]4(-3)+2(5)\leq -1[/tex]

[tex]-2\leq -1[/tex] -----> is  true

therefore

the ordered pair is a solution

d. 4y+2x≤−1

Step-by-step explanation:

Spencer takes out a home improvement loan for 30,000 at an interest rate of 5.5%. How much does he owe, and what is his monthly payment if he chooses the 7-year loan payment plan?​

Answers

Answer:

Use the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Solving our equation:

A = 30000(1 + (0.055 × 7)) = 41550  

A = $41,550.00

The total amount accrued, principal plus interest, from simple interest on a principal of $30,000.00 at a rate of 5.5% per year for 7 years is $41,550.00.

Step-by-step explanation:

Answer:

11550

Step-by-step explanation:

Formula for calculating simple interest is : Simple Interest=P x R x T/100

Step 1: Identify P,R,T

P: Principal amount-basic amount of the loan (30,000)

R: The interest rate of the loan (5.5%)

T: Time of payment of loan-in years (7 years)

Step 2: Substitute the values

Simple Interest= P x R x T/100

Simple Interest= 30,000 x 5.5 x7

                                     100

Simple Interest= 1155000

                                100

Simple Interest= 11550

Let's answer the first part of the question: "How much does he owe?"

Step 1: We have calculated simple interest which is 11550.

Step 2: The principal amount has to be paid with the simple interest.

Step 3: Formula- Total money owed= Principal amount + Simple Interest

Total money owed= 30,000 + 11550=41550

Now let's answer the second part of the question: "What is the monthly payment if he chooses the 7-year loan payment plan?"

Step 1: Calculate how many months are there in 7 years. Each year has 12 months therefore 7 years have (7 x 12) 84 months.

Step 2: Divide the total amount that has to be paid by the number of months it has to be paid in.

Monthly payment = Total money owed/ total number of months

Monthly payment = 41550/ 84

Monthly payment = 494.64

if (3,4) is reflected across the x-axis what are the new coordinates​

Answers

Answer:

The answer is (-3, 4).

Step-by-step explanation:

(3, 4) is located in Quadrant I, which is (+, +). Since you're reflecting the point across the x-axis, you'll be in Quadrant IV, which is (-, +). The point will now be (-3, 4).

I hope this helped! :-)

Find the circumference of a circle with an area of 201.06 square inches.

Answers

Answer: C= 50.2652

Step-by-step explanation:

Final answer:

The circumference of a circle with an area of 201.06 square inches is approximately 50.24 inches, after calculating the radius from the area and applying it to the circumference formula.

Explanation:

To find the circumference of a circle when given the area, you'll want to perform a series of mathematical steps. The area of a circle is given by the formula A = πr², and the circumference is given by C = 2πr. You can rearrange the area formula to solve for the radius, r, and then substitute that into the circumference formula.

First, solve for the radius:
A = πr²r = √(A/π)r = √(201.06/π).

Once you have r, plug it into the circumference formula:

C = 2πr.

Using a calculator, you'll find the following values:

r = √(201.06/3.14) which is approximately r = 8 inches.Then calculate the circumference: C = 2 × 3.14 × 8 which is approximately C = 50.24 inches.

The circumference of a circle with an area of 201.06 square inches is approximately 50.24 inches.

Given f(x)= 10-2x, fins f(7)

Answers

Answer:

-4

Step-by-step explanation:

Okay so basically with functions you are gonna wanna substitute 7 where x is since x=7.

10-2(7) = ?

2 x 7 = 14

10-14=-4

Have a nice day hope this helps :)

:)

Answer:

Step-by-step explanation:

Just put 7 in the place of x

[tex]f(7)=10-2(7)\\f(7)=10-14\\f(7)=-4[/tex]

The associative property does not work for which operations? Check all that apply

Answers

Division and subtraction.

Associative property does not work for Subtraction and Division.

What is associative property?

The associative property states that after grouping the expressions in different ways the outcome will not change.

How to know in which operations the associative property  will not be applicable?Checking whether the associative property is applicable for addition.

(a + b) + c = a +(b + c)

So associative property is applicable for addition.

Checking whether the associative property is applicable for multiplication.

( a X b) X c = a X ( b X c) = abc

So associative property is applicable for multiplication

Checking whether the associative property is applicable for  Division.

(a ÷ b) ÷ c ≠ a ÷ (b ÷ c)

So, the associative property is not applicable for  Division

Checking whether the associative property is applicable for  Subtraction.

(a-b) - c ≠ a - (b -c)

So,  the associative property is not applicable for Subtraction

So, we can say associative property does not work for Subtraction and division.

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what is this answer?

Answers

Answer:

I  -3/20

Step-by-step explanation:

-3       2

---- * -----

8       5

Multiply the numerators

-3*2 = -6

Multiply the denominators

8*5= 40

The fraction is

-6/40

Both the top and the bottom can be divided by 2

-6/2 = -3

40/2 =20

The fraction becomes

-3/20

Factor this trinomial: x2−2x−24
Then, select both correct factors below.

Question 4 options:

(x−6)

(x−4)

(x−2)

(x+6)

(x+4)

Answers

[tex] {x}^{2} - 2x - 24 \\ = {x}^{2} - 6x + 4x - 24 \\ = x(x - 6) + 4(x - 6) \\ = (x - 6)(x + 4)[/tex]

Help I’ll rate you brainliest

Answers

Answer:

Pretty sure it's 2 strides

Step-by-step explanation:

To get from 7 to 5 you minus by 2, and look how many spaces there are. There are 2

Tony needs to create a platform shaped like the diagram with the labeled dimensions. How many cubic feet of concrete are required? A) 60 cubic feet B) 81 cubic feet C) 108 cubic feet D) 135 cubic feet

Answers

∴(108+27) cubic feet = 135 cubic feet of concrete are required.

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

                                                                                      = 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

                                                                              =108 cubic feet

∴(108+27) cubic feet = 135 cubic feet of concrete are required.

complete questions

Tony needs to create a platform shaped like the diagram with the labeled dimensions.

How many cubic feet of concrete are required?

A) 60 cubic feet

B) 81 cubic feet

C) 108 cubic feet

D) 135 cubic feet

The school store sells packs of 12 pens for $2.40.

Select the three unit rates that describe this sale.


There is more than one correct answer

$0.20 per pen


$2.40 per pack of pens


5 pens per dollar


120 pens per $24

Answers

Answer: A,B,C

Step-by-step explanation: I did it on Imagine Math :)

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The Soviet Union would be discouraged from attacking the United States because Americans would retaliate by destroying the Soviet Union with nuclear weapons Americans chose not to build up their nuclear arsenal out of fear that the Soviets would take it as a threat The Soviet Union and the United States began competing with one another to have the strongest standing army so one wouldn't attack the other The United States had the largest navy in the world and was worried about an amphibious attack from the Soviet Union convert 18/5 to a decimal using long division PLEASE HELP ASAP!Which statement describes a biotic factor interacting with the environment?1 Water flows down a creek bed.2 Soil contains nutrients for growth.3 Deer graze through the grassland.4 The sun emits solar rays that reach Earth. Monosaccharide is to carbohydrates as ________ is to proteina.amino acidb.fatty acidc.nucleotided.glucose Emmanuel added 8 links per minute to his chain mail. Allesia started 20 minutes after Emmanuel and added 13 links per minute to her chain mail. How long had Emmanuel worked when Allesia caught up to him, and how many links had he added? internet access must be limited to students Which two wholes numbers does 3 2/10 lie between? Who reads at the same rate? please help!! 20 pts! will give brainliest to first person!!Read the passage.UtopiaThe word utopia means a perfect society, and was coined by British author and statesman Sir Thomas More in 1516 as the title for his book that described an imaginary society of that type. Importantly, the word utopia is a combination of the Greek words for not and place, implying that a perfect society cannot exist. Many authors since More have imagined utopias, often in order to show readers how a better society might be created. However, it is usually understood by reader and author alike that in real life, no society can overcome all human flaws.Some hopeful thinkers have decided to try the experiment in the real world. Numerous utopian communities were planned and built in the Americas during the 1600s to 1800s. Believers were recruited, farms and schools and dwellings were constructed, and groups of starry-eyed but courageous folk retreated to the countryside to try to change the world. Many of the communities were based in shared religious beliefs. Others strove to bring to life the ideals of political theories such as socialism.One such community, New Harmony, Indiana, was founded in 1825 by a British manufacturer, Robert Owen, to foster cooperative living, rational thinking, and free public education. The colony soon failed, partly because it had attracted many residents who could not, or did not want to, work productively. However, it created the first kindergarten, the first trade school, and the first free library in the United Statesideas that spread and bore fruit throughout the land.Another utopian experiment, Brook Farm, in Roxbury, Massachusetts, was a community of 70 to 80 intellectuals, crafts workers, and farmers who tried to create a simple life in which people working together raised their own food, cultivated their minds, and educated their children in a nurturing environment. The community lasted only a few years, from 1841 to 1847, but it inspired leading writers of the day to discuss how to make a better world.The idea of utopia has appealed to people throughout the ages. In practice, however, perfection is found no place. Nevertheless, perhaps having an unreachable goal in mind may help society attain a more reachable goal that, while not perfect, is a step forward from what has gone before.What is the central concept of this passage?The word utopia was created in 1516 by Sir Thomas More, to mean "no place," and many later books have portrayed utopias.The movement to create utopian societies was doomed, for people in real life cannot rise above their inborn imperfections.Utopia is a place that may never exist, but it is an ideal that has sometimes inspired people to try to improve the world.Utopias failed mainly because they were either poorly planned or because their residents wanted to get something for free. What is the angle of incidence if a reflected wave bounces off a mirror with an angle of reflection equal to 55 degrees? Steam Workshop Downloader