Suppose you have invested $1,500 at an annual interest rate of 5% (compoundod annually) for 10 years. How much will you get after the investrent period?

Answer:

3x+2

Step-by-step explanation:

x+6/x+4+x-3/3

3x+6/4-3/3

3x+6/1/3

3x+6/3

3x+2

To summarize, a perfectly egalitarian society has a Gini index of 0, and a perfectly totalitarian society has a Gini index of 1.

The Gini index (G) measures how much the income distribution differs from absolute equality.

On the other hand, a perfectly totalitarian society (where a single person receives all the income) will have a Gini index of 1. This means that there is a huge inequality between individuals, with the single person receiving all of the income.

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By performing the desired calculation using each arrangement and squaring the difference between the result and the target value, you can determine the arrangement that yields the largest squared difference.

To find the arrangement of the 6 numbers that generates the biggest difference squared, you need to consider all possible permutations of the numbers. For each arrangement, perform the desired calculation using the given, such as addition, subtraction, multiplication, or any other specified operation.

Once you have the calculated result for each arrangement, calculate the squared difference between the result and the target value. This is done by subtracting the target value from the calculated result and then squaring the difference.

By comparing the squared differences obtained for each arrangement, you can identify the arrangement that yields the largest squared difference. This arrangement will have the maximum difference squared between the calculated result and the target value.

It's important to note that the specific calculation or operation to be performed is not mentioned in the question. Therefore, you need to specify the operation or provide more information to determine the exact steps for performing the calculation.

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Answer:

Step-by-step explanation:

This is a direct proportionality. If a water spout is filling a large container with water, hence the time taken to fill the container is directly proportional to the volume v of water. MAthematically;

t = kV

If after 5 hours the container held 24L of water, then;

5 = 24k

k = 5/24

Also if after 8 hours the container held 30L of water

8 = 30k

k = 8/30

To get the rate of the container at 2 hrs

Answer:

50 calculators and 10 calendars.

Step-by-step explanation:

Part A: Let x be the number of calculators and y be the number of calendars ordered. Then we have the following system of equations:

x + y = 60 (the total number of items ordered is 60)

12x + 10y = 700 (the total cost of the order is $700)

Part B: To solve this system by substitution, we can isolate x from the first equation and substitute it into the second equation. This gives us:

x = 60 - y

12(60 - y) + 10y = 700

Simplifying and solving for y, we get:

720 - 12y + 10y = 700

-2y = -20

y = 10

Therefore, the number of calendars ordered is 10. To find the number of calculators ordered, we can plug in y = 10 into the first equation and get:

x + 10 = 60

x = 50

Therefore, the number of calculators ordered is 50.

Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

Since, both the events are independent.

So, P(A+B) = P(A)×P(B)

a) P( Head & Getting a 2 ) = P( head ) × P( Getting a 2 )

\(=\dfrac{1}{2}\times \dfrac{1}{6}\\\\=\dfrac{1}{12}\)

b) P( Even number & Tail ) = P( Even number ) × P( Tail )

\(=\dfrac{3}{6}\times \dfrac{1}{2}\\\\= \dfrac{1}{4}\)

Hence, this is the required solution.

All the transformed triangles are congruent because these transformations preserve size.

When we apply transformations such as translations, rotations, and reflections to a triangle, the resulting image remains the same size and shape as the original triangle.

Translation involves moving the triangle without changing its shape or size. The distance and direction of the movement may vary, but the triangle retains its congruency.

Rotation refers to turning the triangle around a fixed point. The angle of rotation may differ, but as long as the center and angle of rotation remain the same, the triangle remains congruent.

Reflection involves flipping the triangle over a line. The line of reflection may vary, but the resulting image maintains congruency with the original triangle.

In all these transformations, the relative distances between the vertices of the triangle are preserved, and the angles between the sides remain the same. Therefore, the transformed triangles are congruent because congruence is defined by having the same size and shape.

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The annual interest rate from the payday loan company would be 114.4%.

The annual interest rate from a two-week payday loan, the number of periods in a year.

Since there are 52 weeks in a year, the loan term of two weeks corresponds to 26 periods in a year (52 weeks divided by 2 weeks).

The payday loan company charges an interest rate of 4.4 percent for a two-week period. To calculate the annual interest rate, the number of periods in a year:

Annual interest rate = Interest rate per period ×Number of periods in a year

Annual interest rate = 4.4% × 26

Annual interest rate = 114.4%

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For the quadrilateral ABCD the statement which proves that this quadrilateral is not a rectangle is (a) The slope of CD is "(-5-1)/(-5-5) = 3/5", and the "slope of DA is [3-(-5)]/[-3-(-5)] = 8/2", these "two-segments" are not perpendicular , so the shape is not a rectangle;

The coordinates of the "four-vertices" of the quadrilateral ABCD are :

A(-3,3), B(2,6), C(5, 1), D(-5,-5);

To prove whether the quadrilateral is a rectangle or not, we need to show that its adjacent sides are perpendicular and its diagonals are congruent.

In this question, we are given the coordinates of the four vertices of the quadrilateral.

To determine if it's a rectangle, we use the slope formula to find the slopes of the sides of the quadrilateral. If slopes of adjacent sides are "negative-reciprocals" of each other, then they are perpendicular. If the slopes of the diagonals are equal, then they are congruent.

Using the given coordinates, we find that the slope of CD is = (-5-1)/(-5-5) = 3/5, and

The slope of DA is = [3-(-5)]/[-3-(-5)] = 8/2. These two slopes are not negative reciprocals of each other, so CD and DA are not perpendicular.

So, the quadrilateral is not a rectangle.

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

The coordinates of the "four-vertices" of the quadrilateral ABCD are :

A(-3,3), B(2,6), C(5, 1), D(-5,-5);

Which statement proves whether or not this quadrilateral is a rectangle?

(a) The slope of CD is (-5-1)/(-5-5) = 3/5, and the slope of DA is 3-(-5)/-3-(-5)=8/2, these two segments are not perpendicular , so the shape is not a rectangle;

(b) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of BC is (6-1)/(2-5) = -5/3, these two segments are perpendicular , so the shape is a rectangle;

(c) The slope of BC is (6-1)/(2-5) = -5/3, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are not perpendicular, so the shape is not a rectangle;

(d) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are perpendicular , so the shape is a rectangle;

Answer:

5 shaded region area = 100 - 78.5 = 21.5 sqm

6 c

Step-by-step explanation:

5. area of square = 10 x 10 = 100 sqm

area of circle = pi * r^2 = pi (5)^2 = 78.5 sqm (take pi as 3.14)

shaded region area = 100 - 78.5 = 21.5 sqm

6. for a straight line, equation is y = mx + b

m = 5, b = -12 in this case

Answer:

for the set of numbers 18, 30 and 42 the GCF = 6.

Step-by-step explanation:

hope this helps

Answer:

what is it?

Step-by-step explanation:

Answer:

20068

Step-by-step explanation:

mmm

The area of sector STU is approximately 150.80 square units.

To find the area of sector STU, we need to use the formula for the area of a sector: A = (θ/360) * π * r^2, where θ is the central angle in degrees and r is the radius of the circle.

Given that the measure of angle STU (m∠STU) is 102 degrees and ST is 13 units, we know that ST is the radius of the circle. So, r = 13 units.

Substituting the values into the formula, we get:

A = (102/360) * π * (13^2) ≈ 0.283 * 3.1416 * 169 ≈ 150.796 square units.

Henceforth. rounded to the nearest hundredth,

the area of sector STU is approximately 150.80 square units.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x+1/2=21/14

x = ?

Step 02:

14 (x + 1 ) = 2 * 21

14x + 14 = 42

14x = 42 - 14

x = 28 / 14

x = 2

The answer is:

The value of x is 2

Answer:

\( {3}^{3} \)

\( = 27\)

Answer:

27

Step-by-step explanation:

3•3=9

9•3=27

thats ir

There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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The difference between the predicted regression value and the actual value is called the residual.

Let's assume a simpler model: Y= β₀+ β₁X + E. For linear regression, let ε∼N(0,σ2). The most important thing here is that ϵ is a normal random variable. This makes Y a normal random variable with mean β0+β1X and variance σ₂.

Regression Analysis:

Regression analysis is a set of statistical techniques used to estimate the relationship between a dependent variable and one or more independent variables. It can be used to assess the strength of relationships between variables and model future relationships between variables.

Assumptions:

One of the main assumptions of regression analysis is that residuals with mean equal to 0 are normally distributed. Residuals must be both positive and negative. If this condition is not met (residuals are only positive or negative, i.e. the model is either consistently Regardless, it means that it has not been properly selected for prediction.

Poor predictions are due to (i) the regression model should contain non-linear terms rather than only linear terms, (ii) multicollinearity of the independent variables, and (iii) missing important predictor variables (features). Poor understanding of the problem and data, (iv) non-constant data variance, or (v) extrapolation (prediction) far beyond the range of the independent variables used to estimate the parameters of the model.

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Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

Answer:

Step-by-step explanation:

log(5) + log(X) = log(5x)

log( 5x) - log(x - 6) = log (5x/(x - 6))

antilog(log(5x/(x - 6)) = antilog(1)

5x / (x - 6) = 10                                        multiply both sides by x - 6

5x  = 10(x - 6)                                          remove the brackets

5x = 10x - 60                                          Subtract 10 x from both sides

5x - 10x = - 60

-5x = - 60                                               Divide by 5

x = 12

Answer:

24 cm²

when finding area, multiply base by height

\(4 * 6 = 24\)

Answer:

A = 24 cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh where b is the base and h is the height

A = 6 * 4

A = 24 cm^2

The probability that a randomly selected person is a past donor who pledged but did not contribute is 0.2 * P(A)

There are 20% past donors who pledged but did not contribute.

Let us first denote the event of selecting a past donor as A and the event of selecting someone who pledged but did not contribute as B.

There are two possibilities to be considered while selecting a person from a given population:

EITHER the person is a past donor who pledged but did not contribute

OR the person is not a past donor who pledged but did not contribute.

So, the probabilities for the above cases are:

P(A and B) and P(not A and B) respectively.

Now, as per the question,

Probability of past donors who pledged but did not contribute = 20%

or, P(B|A) = 0.2

Also, probability of past donors is not given, so we do not have any information about the complement of event A.

Hence, we cannot find P(not A).

Now, using the formula of conditional probability, we get:

P(A and B) = P(B|A) * P(A)

= 0.2 * P(A)

Similarly,

P(not A and B) = P(B|not A) * P(not A)

As we cannot find P(not A), we cannot calculate P(not A and B).

Therefore, the probability that a randomly selected person is a past donor who pledged but did not contribute is:

P(A and B) = P(B|A) * P(A)

= 0.2 * P(A)

Answer: P(B|A) * P(A) = 0.2 * P(A)

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Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer:

1/8 because you do 5 divided by 5 and 40 divided by 5 which gives you 8. Meaning, 1/8 is the answer.

Step-by-step explanation:

Answer:

7/8.

Step-by-step explanation:

5 weeks = 5*7 = 35 days.

So the fraction is 35/40

= (35/5) / (40/5)

= 7/8.

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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Answer:

Delilah MAD= 189 IQR= 92         Dekotah MAD= 186 IQR= 45

Step-by-step explanation:

Order of given decimal numbers from least to greatest:  0. 607, 0.667, 0.67

In this question we have been given three decimal numbers.

0. 667, 0. 67, 0. 607

We need to order these numbers from least to greatest.

Consider a decimal number ap.bcd

(here a, b, c, d, p are integers)

We know that the place value is used to define the position of a digit in a number and it helps to determine digit's value.

here, a represents the power of 10^1 i.e., the tens position.

p represents the power of 10^0 that is the units position.

b represents the power of 10^-1 : the one-tenths position.

c represents the power of 10^-2 : the one-hundredths position

d represents the power of 10^-2 : the one-thousandths position

Consider given numbers 0. 667, 0. 67, 0. 607

ones   decimal  tenths   hundredths   thousandths

  0           .             6               6                   7

  0           .             6               7                    0

  0           .             6               0                    7

Since tenths place of all numbers is same, we consider hundredths place.

A number 0. 67 has 7  in the hundredths place, 0.667 has 7  in the hundredths place and 0. 607 has 0  in the hundredths place.

So, 0. 67 is the greatest number and,  0. 607 is the least number.

Therefore, the correct order is  0. 607, 0.667, 0.67

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