Imagine the country is made up of 100 households. The federal government needs to collect $800,000 in income taxes to be able to function. The population consists of 6 groups: Group A: 20 households that earn $12,000 each Group B: 20 households that earn $29,000 each Group C: 20 households that earn $50,000 each Group D: 20 households that earn $79,000 each Group E: 15 households that earn $129,000 each Group F: 5 households that earn $295,000 each This scenario is roughly proportional to the actual United States population and tax needs. We are going to determine new income tax rates. The first proposal we’ll consider is a flat tax – one where every income group is taxed at the same percentage tax rate. 1) Determine the total income for the population (all 100 people together)

Answer:

To solve the problem, we simply need to multiply 1 4/5 (or 9/5) by 500:

1 4/5 gallons x 500 ft²/gallon = 9/5 gallons x 500 ft²/gallon = 4500/5 ft² = 900 ft²

Therefore, 1 4/5 gallons of paint will cover 900 square feet. The answer is D.

The dimensions of the poster are approximately 10.64 inches by 1.15 inches.

What are dimensions of an objects?

Dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, breadth, and height.

According to the problem, the length of the poster is 8 more inches than two times the width, which can be expressed as:

length = 2x + 8

The area of the poster is given as 42 square inches, so we can set up the equation:

area = length * width

Substituting the expressions for length and width, we get:

42 = (2x + 8) * x

Expanding the right side, we get:

[tex]42 = 2x^2 + 8x[/tex]

Moving all terms to one side, we get:

[tex]2x^2 + 8x - 42 = 0[/tex]

Dividing both sides by 2, we get:

[tex]x^2 + 4x - 21 = 0[/tex]

We can solve for x using the quadratic formula:

x = (-4 ± √(4² - 41(-21))) / (2*1)

x = (-4 ± √88) / 2

x = (-4 ± 2√22) / 2

x = -2 ± √22

Since the width of the poster cannot be negative, we take the positive solution:

x = -2 + √22

Using this value, we can find the length of the poster:

length = 2x + 8 = 2(-2 + √22) + 8 = 2√22 + 4

Therefore, the length of the poster is approximately 10.64 inches (rounded to two decimal places).

Thus, the dimensions of the poster are approximately 10.64 inches by 1.15 inches.

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Answer:

Option 1 is the correct choice

Step-by-step explanation:

All possible outcomes are represented with the exception of {HHT}

This would correspond to x

Option 1 is the correct choice

The equation that represents Anthony's reading ⁵/₆ hours each day for 2 days is B. 2 × ⁵/₆ = 10 × ¹/₆.

An equation is an algebraic statement that two or more mathematical expressions share equality or equivalence.

Unlike mathematical expressions which combine variables with the mathematical operands, equations are depicted using the equal symbol (=) to show that the expressions are equal or equivalent.

2 × ⁵/₆ = 10 × ¹/₆

= 10/6 hours or 100 minutes (10/6 × 60)

or 1 hour 40 minutes.

Thus, the correct equation of Anthony's reading time for 2 days is Option B.

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Equation B. 2 × ⁵/₆ = 10 × ¹/₆ is the option that represents Anthony's reading ⁵/₆ hours each day for 2 days.

To solve this division problem, we can use the rule "division is the same as multiplication by the reciprocal".

So, 1/2 ÷ 7 is the same as 1/2 x 1/7.

Multiplying the numerators and denominators, we get:

1/2 x 1/7 = 1/14

Therefore, 1/2 divided by 7 is equal to 1/14.

Answer: 1/14

Step-by-step explanation:

To solve 1/2 divided by 7, you would first make 7 a fraction as well, which is 7/1. Then you do the inverse operation and fraction which is multiplying. So now, the question is 1/2 multiplied by 1/7. That equals 1/14

Answer:

320 degrees

Step-by-step explanation:

For the whole circle of angles there it is 360 degrees. We already have 40 degrees on the interior angle, and we know K has to be 180 degrees. 360-40 is 320.

Answer:53

Step-by-step explanation:

The inequality expression x - 5 > 10 has its solution to be x > 15

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

x - 5 > 10

The above is an inequality; this is so because an inequality is a mathematical statement that compares two values or expressions, typically using symbols such as < , >, ≤, or ≥

Add 5 to both sides of the inequality expression

So, we have the following representation

x - 5 + 5 > 10 + 5

Evaluate the like terms

So, we have the following representation

x > 15

The above expression cannot be further simplified

Hence, the solution to the expression is x > 15

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Answer:It has no solution

Step-by-step explanation:

Answer:25

Step-by-step explanation:39+26=65,

65-40=25,

39+26=25+40

Answer:

Step-by-step explanation:

65-40=25,

39+26=25+40

Answer: $17,788.20

Step-by-step explanation:

To calculate the monthly payment, we can use the loan formula:

P = (r * A) / (1 - (1 + r)^(-n))

where:

P is the monthly payment

A is the loan amount, which is the sale price of the car ($16,000) in this case

r is the monthly interest rate, which is the annual percentage rate (APR) divided by 12 (4% / 12 = 0.003333...)

n is the total number of payments, which is the number of years of the loan multiplied by 12 (5 years * 12 = 60)

Substituting these values into the formula, we get:

P = (0.003333... * $16,000) / (1 - (1 + 0.003333...)^(-60))

P ≈ $296.47

Therefore, the monthly payment is approximately $296.47, which is within the budget of $300/month.

To calculate the total cost of the car after the loan has been paid in full, we can multiply the monthly payment by the total number of payments (60) and add the original sale price of the car:

Total cost = P * n + A

Total cost = $296.47 * 60 + $16,000

Total cost = $17,788.20

Therefore, the total cost of the car after the loan has been paid in full is approximately $17,788.20.

49^{1/2} and (8x)^{1/3} are correct in polynomial .

What is a polynomial, simply put?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

                           A polynomial function is a function that can be expressed in the form of a polynomial. The definition can be derived from the definition of a polynomial equation. A polynomial is generally represented as P(x). The highest power of the variable of P(x) is known as its degree.

1)  [tex]49^{1/2}[/tex]  = √49

4)  [tex](8x)^{1/3}[/tex]   = ∛8x

option 1 and 4 is correct.

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According to given conditions, I will earn $913,441.60.

What is interest ?

Interest is the cost of borrowing money, usually expressed as a percentage of the amount borrowed. It is also the amount earned on an investment, usually expressed as a percentage of the amount invested. The rate of interest is determined by factors such as the level of risk involved, the term of the loan or investment, and prevailing market conditions.

To calculate the monthly deposit required, we can use the formula for the future value of an annuity:

FV = P * (((1 + r/n)[tex]^{(n*t)}[/tex]- 1) / (r/n))

where FV is the future value, P is the monthly deposit, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we want to solve for P, so we can rearrange the formula:

P = FV * (r/n) / (((1 + r/n)[tex]^{(n*t)}[/tex]- 1))

Substituting the given values, we get:

P = 600000 * 0.04/12 / (((1 + 0.04/12)[tex]^{(12*25)}[/tex]- 1))

Simplifying and solving for P, we get:

P ≈ $1,518.14 per month

To calculate the interest earned, we can use the formula:

I = FV - P * t

where I is the interest earned, FV is the future value, P is the monthly deposit, and t is the number of years.

Substituting the given values, we get:

I = 600000 - 1518.14 * 12 * 25

Simplifying, we get:

I ≈ $913,441.60

Therefore, according to given conditions, I will earn $913,441.60.

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The range for both of the plots is same.

A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain.

The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.

Use the graphs of f(x)= and g(x) =3/x+3,  log2(x+3) to determine which of the following x+3 features they have in common.

The range is the same for all the plots.

For both cases the range is (-∞,∞)

Hence The range for both of the plots are same.

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Answer:

You need a rizz god????

Step-by-step explanation:

Answer:

Step-by-step explanation:

he recives 8.52

Answer: $8.52

Step-by-step explanation:

First, you have to calculate how much Tommy spent, which is shown below:

2 x 3.99 = 7.98

7.98 + 3.5 = 11.48

Now that we know Tommy spent 11.48, we just subtract that from 20

$20.00 - $11.48 = $8.52

The two lines are intercept of each other and can intersect each other and are perpendicular to each other.

With examples, what is line intercept sampling?

To calculate the cover of specified classes in the landscape, such as forests or different types of forests, line intercept sampling is utilized.

                                        Over the region of interest, line samples are randomly placed, and it is then examined what percentage of each sample line falls into the target area class.

The points at which a line crosses an axis are known as the xxx-intercept and the yyy-intercept, respectively.

Thus, the two lines are intercept of each other and can intersect each other and are perpendicular to each other.  

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The relation given is a function since each of the input value only maps to a single output value.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given are set of coordinate values of a relation.

We have to determine whether the relation is function or not.

The points are,

{(-3, -8), (3, 6), (5, -5), (7,-6), (10, 6)}

Domain of the relation are {-3, 3, 5, 7, 10}

Range of the relation are {-8, 6, -5, -6, 6}

We can see that each of the input value only maps to a single output value.

So the relation is a function.

Hence the relation is a function.

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The variable represents a positive real number, it can be simplified as follows [tex]u^{19/2}[/tex].

The amount that indicates how many times to multiply the base is known as an exponent. The base is the larger number at the bottom, while the exponent is the smaller number on top.

The reverse of an exponent is a root, which involves determining the base given an exponent. Thus, if the square root of 64 has to be obtained, find the number that has been multiplied by itself twice.

The given expression is:

√u¹⁹

Using the exponents rule we have:

[tex]u^{19/2}[/tex]

Hence, the variable represents a positive real number, it can be simplified as follows [tex]u^{19/2}[/tex].

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The proportion is (y/x) = (26/20).

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

As per the given data:

Two figures below are similar figures.

All sides are given in the diagram.

If any two triangles are similar, then their corresponding sides are in the same proportion.

∴ (2.5 / x) = (1 / 1.5) = (3.25 / y)

= (5/2x) = (2/3) = (13/4y)

From cross-multiplication, we can find:

(y/x) = (26/20)

Hence, the proportion is (y/x) = (26/20).

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Answer: Without a perpendicular cut, we cannot determine the height of the triangle directly. However, we can use the Pythagorean Theorem to find it indirectly.

Let's assume that Francine has cut the paper into a right triangle ABC, where AB and BC are the legs of the triangle, and AC is the hypotenuse. Let x be the length of AB and y be the length of BC. We can then use the Pythagorean Theorem to find the length of AC:

AC^2 = AB^2 + BC^2

We don't know the exact values of AB and BC, but we do know that the area of the triangle is given by:

Area = (1/2) * AB * BC

We can use this formula to find the area in terms of x and y:

Area = (1/2) * x * y

Now we need to eliminate one of the variables (either x or y) so that we can express the area in terms of the other variable and AC. We can do this by rearranging the Pythagorean Theorem to solve for one of the variables:

x^2 = AC^2 - y^2

y^2 = AC^2 - x^2

Let's solve for y:

y^2 = AC^2 - x^2

y = sqrt(AC^2 - x^2)

Now we can substitute this expression for y into the formula for the area:

Area = (1/2) * x * sqrt(AC^2 - x^2)

To find the maximum possible area, we need to maximize this expression. We can do this using calculus, by taking the derivative of the expression with respect to x, setting it equal to zero, and solving for x. However, since we only need an approximate answer to the nearest tenth of a square centimeter, we can use trial and error to find the value of x that gives the maximum area. We can start by trying different values of x, and using a calculator to evaluate the expression and find the corresponding area.

Let's try a few values of x:

If x = 0, then the area is 0.

If x = AC/2 (i.e., if the triangle is isosceles), then the area is (1/8) * AC^2 * sqrt(3), which is approximately 0.433 * AC^2.

If x = AC/sqrt(3) (i.e., if the triangle is equilateral), then the area is (1/4) * AC^2 * sqrt(3), which is approximately 0.433 * AC^2.

Since the area is maximized when the triangle is equilateral, we can assume that the piece of paper is an equilateral triangle, and use the formula for the area of an equilateral triangle:

Area = (sqrt(3)/4) * side^2

where side is the length of one of the sides of the triangle. To find the side length, we need to know the length of AC. We don't know the exact value of AC, but we can estimate it by measuring the length of the longest side of the piece of paper (assuming that it is the hypotenuse of the triangle). Let's say that the longest side is 30 cm. Then, by the Pythagorean Theorem, we can find the length of the other two sides:

x^2 + y^2 = 30^2

x^2 + (sqrt(AC^2 - x^2))^2 = 30^2

2x^2 + AC^2 - x^2 = 900

x^2 = (900 - AC^2)/

Step-by-step explanation:

Answer:

The new size of the diagram would be 28 cm by 16.8 cm. This is calculated by multiplying the original dimensions of 16 cm and 12 cm by the ratio of 7:4. Therefore, the new width of the diagram would be 16 cm x 7 = 112 cm and the new height would be 12 cm x 4 = 48 cm. The new size of the diagram is therefore 112 cm by 48 cm, which can be simplified to 28 cm by 16.8 cm

Step-by-step explanation:

A photocopier that enlarges in the ratio 7:4 will increase the size of the diagram by a factor of 7/4. To find the new size of the diagram, we can multiply the original measurements by the factor of enlargement.

The new width of the diagram will be:
16 cm × 7/4 = 28 cm

The new height of the diagram will be:
12 cm × 7/4 = 21 cm

Therefore, the new size of the diagram will be 28 cm by 21 cm.

Answer: The new size of the diagram will be 28 cm by 21 cm.

Answer:

7863

Step-by-step explanation:

i donk know soeet

Answer:60

Step-by-step explanation:

100- 25= 75

75/1.25=60

The correct option is (b) i.e. the given inequality best describes the situation.

What is an inequality?

inequality, a declaration of the relation of greater, greater than or equal to, smaller, or less than or equal to between two numbers or algebraic expressions. Theorems are statements of fact that express an inequality. Inequalities can also be expressed as questions that are solved using methods similar to those used to solve equations.

Given : She receives 80 rewards points just for signing up

           She earns 11.5 points for each visit to the movie theater

the min. number of visits she needs to visit = v

and, She needs at least 210 points for a free movie ticket.

So, The inequality can be written as :

reward points + 11.5 points per visit ≥ 210

          80 + 11.5 v ≥ 210

or, 210 ≤  80 + 11.5 v

So, The correct option is (b).

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Therefore, the likelihood of a thunderstorm is roughly 0.2174, or a 21.74% chance that one will occur.

The study of random events or phenomena falls under the category of probability, which is a branch of mathematics. It is a way to quantify the possibility or likelihood of an event happening. A number between 0 and 1, where 0 denotes an improbable occurrence and 1 denotes a certain event, is used to express probability. By dividing the number of favorable outcomes by the total number of possible outcomes, one can determine the probability of an occurrence. In many disciplines, including statistics, economics, engineering, and science, probability is used to make predictions and well-informed choices in uncertain situations.

given

We must divide the amount of beneficial outcomes (chances of a thunderstorm) by the total number of possible outcomes in order to express the suggested degree of likelihood as a probability value between 0 and 1 inclusive.

When the likelihood of a thunderstorm is stated as "5 in 23," it indicates that out of a possible 23, 5 outcomes are likely to be favorable.

Therefore, the likelihood of a rainstorm is:

P (thunderstorm) is the ratio of the number of successful outcomes to all other possible outcomes.

Thunderstorm P(thunder) = 5 / 23

As a result, the probability value for the indicated degree of likelihood can be expressed as:

P(thunderstorm)= 5/230.2174

Therefore, the likelihood of a thunderstorm is roughly 0.2174, or a 21.74% chance that one will occur.

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[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 900[1+(0.03)(10)] \implies A = 1170~\hfill \stackrel{ \textit{it grew by} }{\text{\LARGE 270}}[/tex]

Answer: No

Step-by-step explanation:

So you have to substitute the x and y with the numbers in the ordered pair.

y becomes 28.

x becomes 4.

So the equation 7 = y - 5x becomes 7 = 28 - 5(4).

Then, you solve.

7 = 28 - 5(4)

7 = 28 - 20

7 = 8

7 ≠ 8

So, the ordered pair is NOT a solution of the equation.

Hope this helps!!!

The expanded form of 19,502 is 1 x 10,000 + 9 x 100 + 5 x 10 + 0 x 1 + 2 x 1

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

19,502

The number 19,502 in expanded form is:

1 ten thousand + 9 hundreds + 5 tens + 0 ones + 2 units

So, in expanded form, 19,502 is written as:

Represent the words with numbers

So, we have the following representation

10,000 + 9 x 100 + 5 x 10 + 0 x 1 + 2 x 1

Hence, the expanded form is 1 x 10,000 + 9 x 100 + 5 x 10 + 0 x 1 + 2 x 1

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Complete question

5) Which is 19,502 in expanded form.

(a) 1 x 9000 + 10x 50 + 2 x 1

(b) 1 x 1000 + 9 x 1000 + 5 x 100 + 2 x 1

(c) 1 x 10000+ 9 x 1000 + 5 x 100 + 2 x 1