Leah measured a line to be 2.1 inches long. If the actual length of the line is 2.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

A $1000 cash inflows at the end of each year would have a future value of $8,142.01, $8,922.80 and $11.772012 at the end of the year 7 for interest rates of 5% , 8% and 17% respectively.

Annuities are a financial instrument that generates a regular stream of cash. They have both a present and future value dependent upon the value of the cash payment, the number of payment periods and the interest rate. This question does not specify the cash inflow amount so an answer will be generated that can be scaled on multiples of $1000.

Let C represent the cash inflow at the end of each year. The future value (FV) of this cash inflow is given by:

FV = [tex]C[((1+i)^n-1)/i][/tex]

where i is the annual interest rate and n is the number of years.

(a) For i = 5% and n = 7

FV = [tex]C [((1+0.05)^7-1)/0.05][/tex]

FV= C[(1.047100-1)/0.05]

FV = C [8.142008]

(b) For i = 8% and n = 7

FV = [tex]C [((1+0.08)^7-1)/0.08][/tex]

FV = C[(1.713824 - 1)/0.08]

FV = C[8.922803]

(c) For i = 17% and n = 7

FV = [tex]C [((1+0.17)^7-1)/0.17][/tex]

FV = C[(3.001242 - 1)/ 0.17]

FV = C[11.772012]

Therefore, A $1000 cash inflows at the end of each year would have a future value of $8,142.01, $8,922.80 and $11.772012 at the end of the year 7 for interest rates of 5% , 8% and 17% respectively.

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Answer:

no solutions

Step-by-step explanation:

y = 2x → (1)

y = 2x - 3 → (2)

since both equations express y in terms of . equate the right sides to find any solutions.

2x - 3 = 2x ( add 3 to both sides )

2x = 2x + 3 ( subtract 2x from both sides )

0 = 3 ← false statement

this indicates there are no solutions

The solution to the expression is x = 1/9

From the question, we have the following parameters that can be used in our computation:

27**** = 3³x² x 9​

Express properly

27 = 3³x² * 9​

We can start solving this equation by rearranging it to isolate the variable x:

27 = 243x

Now we divide both sides by 243 to find x

x = 27/243

Evaluate

x = 1/9

Hence, the solution is 1/9

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The principal sum of the given compound interest is Rs 5000.

The total amount of money borrowed (or invested), not including any interest or dividends, also called sum.

Given that, a sum of money amounts to Rs. 6050 in 2 year and Rs. 6655 in 3 years. we are asked to find the principal amount or sum,

CI = P(1+r/100)ⁿ

P = principal amount, CI =  compound interest, r = rate, n = time

Therefore,

CI = 6050(1+r/100)²....(i)

CI = 6655(1+r/100)³....(ii)

Diving eq(ii) by eq(i)

6655 / 6050  = (1+r/100)

1+r/100 = 1.1

r/100 = 1.1-1

r/100 = 0.1

r = 10%

Put r = 10% in eq(i)

6050 = p(1.1)²

p = 5000

Hence, the principal sum of the given compound interest is Rs 5000.

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The value of angles are,

∠ H = 20°

∠ G  = 100°

∠ I = 60°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two triangles are similar.

Now, We have in triangle XYZ,

∠Y = 20°

∠Z = 100°

Hence, ∠ X = 180 - (100 + 20)

∠ X = 60°

Thus, By definition of similarity;

∠ H = ∠ Y = 20°

∠ G = ∠ Z = 100°

∠ X = ∠ I = 60°

Thus, The value of angles are,

∠ H = 20°

∠ G  = 100°

∠ I = 60°

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Solution in da attachment!! :)

x+6y+10

llllllllllllllllllllllllllllllllllllllllllllllllll

Answer:

Step-by-step explanation:

By using the Median Function in Excel  =Median()

The simplification of the given expression

[tex]3 \frac{1}{5} x + 10 \frac{7}{9} - 2 \frac{2}{5} x - 10 \frac{8}{9} [/tex]

is

[tex]\frac{4}{5}x - \frac{1}{9}x[/tex]

[tex]3 \frac{1}{5} x + 10 \frac{7}{9} - 2 \frac{2}{5} x - 10 \frac{8}{9} [/tex]

Change into improper fraction

[tex] = \frac{16}{5} x + \frac{97}{9} - \frac{12}{5}x - \frac{98}{9} [/tex]

[tex] [/tex]

Collect like terms

[tex]= \frac{16}{5}x - \frac{12}{5}x + \frac{97}{9} - \frac{98}{9} [/tex]

Subtract

[tex] = \frac{4}{5}x - \frac{1}{9}x [/tex]

Consequently, the solution to the expression is

[tex] = \frac{4}{5}x - \frac{1}{9}x [/tex]

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Answer:

= 36x - 5.

Step-by-step explanation:

Sorry for my cancellation

The following compositions are shown below:

Case 1

f ° g (x) = x, g ° f (x) = x

The two functions are inverses of each other.

Case 2

f ° g (x) = x, g ° f (x) = x

The two functions are inverses of each other.

In this problem we need to determine the composition between two functions and determine if both functions are inverses of each other. A composition is defined below:

f ° g (x) = f [g (x)]

Where the independent variable of the function f(x) is substituted by function g(x). Two functions are inverses if and only if the following condition is fulfilled:

f[g (x)] = g[f (x)]

Now we proceed to determine the compositions and relationships for each case:

Case 1

f(x) = 3 · x

g(x) = x / 3

f ° g (x) = 3 · (x / 3)

f ° g (x) = x

g ° f (x) = (3 · x) / 3

g ° f (x) = x

Functions f(x) and g(x) are inverses of each other.

Case 2

f(x) = (x - 3) / 2

g(x) = 2 · x + 3

f ° g (x) = [(2 · x + 3) - 3] / 2

f ° g (x) = 2 · x / 2

f ° g (x) = x

g ° f (x) = 2 · [(x - 3) / 2] + 3

g ° f (x) = (x - 3) + 3

g ° f (x) = x

Functions f(x) and g(x) are inverses of each other.

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Answer:

there are 100 centigrams in a gram

Step-by-step explanation:

The measure of m∠H in the triangle is 85°.

Similar triangles are two triangles that have the same shape but can have different sizes. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Since ΔABC and ΔFGH are similar, we can say:

m∠A =  m∠F

m∠B =  m∠G

m∠C =  m∠H

m∠A  +  m∠B +  m∠C = 180° (sum of angles in a triangle)

We have m∠A = 50° and m∠B = 45°

50°  +  45°  +  m∠C = 180°

m∠C = 180° - 50° - 45°

m∠C = 85°

Since m∠C =  m∠H

Thus, m∠H =  85°

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The lac curve, also known as the envelope curve, is a curve that shows the maximum amount of work that can be done in a given period of time.

It is defined by the equation: W = min {W1 + W2, W3, W4, ..., Wn}, where W1, W2, W3, W4, ..., and Wn are the individual work tasks. The envelope curve is called such because it forms an envelope that encompasses all of the individual tasks on the graph, visually representing the maximum amount of work that can be done within the given timeline. This curve can be used to assess the efficiency of a task or project, as well as to analyze the impact of changes in the workload, deadlines, and resources.

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The height of the tower in Alex's drawing is 20.7 centimeters.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We need to find the height of the tower in Alex's drawing.

Let us multiply the actual height of the tower by the scale factor.

Scale factor = 1 : 4000

Height of the actual tower = 828 meters

Height of the tower in Alex's drawing = 828 meters x (1/4000) = 0.207 meters or 20.7 centimeters.

Therefore, the height of the tower in Alex's drawing is 20.7 centimeters.

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Tables and figures area way of presenting data in an organized form or more in a presentable way to attract more audience.

With tables and figures, it arranges your data to a simplified form and also it makes the content easy to understand for the front person.

Tables and figures in scientific papers are wonderful ways of presenting data. Effective data presentation in research papers requires understanding your reader and the elements that comprise a table.

It also several elements, including the legend, column titles, and body.

With all this tables in a research paper helps the reader understand the content for the data more effectively and efficiently.

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Answer:

undefined slope

Step-by-step explanation:

The graph of the equation x = -5 is a vertical line That passes through point (-5, 0).

The slope of a vertical line is undefined.

Both the equations cut at the point (- 3.125, - 6.25).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equations are,

1) 2(1/5)x - 5

2) y = 2x

Now, We can draw the equations by using tool,

Hence, We get the graph of function 2(1/5)x - 5 shows by green line and y = 2x shows by red line.

Clearly, Both the function are cut at the point (- 3.125, - 6.25).

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73 kg is equivalent to approximately 160.937 pound (lbs).

Kilogram (kg) and pound (lb) are both units of mass commonly used in different parts of the world. Kilogram is the base unit of mass in the International System of Units (SI) and is defined as the mass of the International Prototype of the Kilogram, which is a platinum-iridium cylinder kept at the International Bureau of Weights and Measures in France.

Pound, on the other hand, is a unit of mass commonly used in the United States, the United Kingdom, and other countries, which is defined as exactly 0.45359237 kilograms. This value is based on the international avoirdupois pound, which is defined as exactly 0.45359237 kg.      

To convert kilograms to pounds, you can use the conversion factor of 2.20462 lbs/kg. To convert pounds to kilograms, you can use the conversion factor of 0.45359237 kg/lb.

To convert 73 kilograms (kg) to pounds (lbs), you can use the conversion factor of 2.20462.

So,

73 kg * 2.20462 lbs/kg = 160.937 lbs (rounded to three decimal places)

Therefore, 73 kg is equivalent to approximately 160.937 lbs.

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The method that is used to calculate the cubic units of cake batter needed to fill the mold is V equals 355 over 113 times 4 squared times 6. (third option)

A cylinder is a three-dimensional object. It is a prism with a circular base. The amount of cake batter that is needed to fill the mold is equal to the volume of the cylinder.

Volume of a cylinder = πr²h

Where:

= 355/133 x 4² x 6

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The answer is V equals 355 over 113 times 4 squared times 6, thus, option (d)

The formula for volume of a cylinder is: V= πr2h, so if pi = 355/113 then

V= (355/113)(4)2(6)

Goodluck! ~izzy~

The number of students who preferred banana chips are 57.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that sixty per cent of the students preferred raisins to banana chips. If there were 95 students in all, the number of the students will be calculated as:-

Number = 95 x 60%

Number = 95 x 60 / 100

Number = 95 x 0.6

Number = 57

Therefore, the number of students who choose banana chips is 57.

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The first step is to describe the method to take

To solve the system of equations 4x + 2y = 11 and 3x - y = 9, the first step would be to choose a method to solve the system.

There are several methods for solving systems of equations, including:

One common method is the substitution method, which involves solving one equation for one variable and then substituting the expression for that variable into the other equation.

For example, we could solve the second equation 3x - y = 9 for y to get:

y = 3x + 9

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Answer: 64 MBS/43XY

Step-by-step explanation:

courseeeeeeeeee

Answer: r =[tex]\sqrt{4/\pi } =\sqrt{64/\pi } =4.51352[/tex]

Step-by-step explanation:

Answer:

OUT OF BUSINESS

Step-by-step explanation:

you cant afford it on food stamps my guy

A calculus cheat sheet can be a helpful tool to assist you in studying and reviewing calculus concepts.

Here are some tips for how to use a calculus cheat sheet effectively:

1. Familiarize yourself with the content: Take the time to read through the entire cheat sheet to get a sense of what topics are covered and how the information is organized.

2. Use it as a study aid: A calculus cheat sheet can be a helpful study aid to review concepts and formulas before a test or exam. Work through practice problems and apply the concepts you have learned.

3. Keep it handy: Print out the cheat sheet or save it to your phone or computer so that you can refer to it whenever you need to.

4. Use it as a reference: As you work on calculus problems, use the cheat sheet to remind yourself of key concepts, formulas, and rules.

5. Customize it: You can create your own cheat sheet, which includes the formulas and concepts that you find most challenging. This will help you focus on the areas that you need to improve upon.

Remember that while a calculus cheat sheet can be a helpful tool, it is important to develop a deep understanding of calculus concepts through practice, problem-solving, and building intuition. The cheat sheet should be used as a supplement to your learning, not a replacement for it.

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The given statement "Qualitative data contribute to analysis and should aid the explanation of a process that may otherwise be unclear if explained by quantitative data only." is true.

Qualitative data is non-numeric information that provides insight into attitudes, behaviors, motivations, and perceptions. It is typically collected through open-ended questions, observation, and interviews. Qualitative data can provide a rich and nuanced understanding of a process or phenomenon that may not be possible to obtain through quantitative data alone. This is because qualitative data can help to uncover the underlying reasons behind a process, how people experience it, and how it is perceived by different groups. As a result, qualitative data can provide valuable context and insight into a process that may otherwise be unclear if explained by quantitative data alone.

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Answer:

Its D

Step-by-step explanation:

1130 / 7 = 161

161 x 365 = 58 765

Answer: D

Step-by-step explanation:

there just reflected because the shape is just refected to the other side it the same but smaller

The value of x is 77.5. In order to solve for x, we need to use the Triangle Angle Sum Theorem.

Value is a subjective concept that referred to the word of importance that an individual group of people places on something it is often associated with principal beliefs and standard that are accepted by society when you can be seen as a measure of how important something is true person of organization it is often seen as a reflection of ones worldview and can help to save attitudes decision and behaviors believe is not an absolute and very depending on the context of the looks like commands.

In order to solve for x, we need to use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is 180°. Since angle BAC is bisected by segment AD, the two angles must be equal. Therefore, we can set up the following equation to solve for x:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2x + 25

2x = 155

x = 77.5

Therefore, the value of x is 77.5.

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