Mr. Phil had a boatload of money he decided to leave it to his family but wanted to make sure his goldfish was taken care of today he decided to give 1/2 of his estate to his wife, 30,000 to his daughter half of what was left over to his butler, half of what was left to his goldfish. he realized he had $8000 remaining so he donated to charity. what was the original value of his estate?

Answer:

Infinitely Many

Step-by-step explanation:

Both answer are equal to each other

The difference in housing prices in the fifth year is $7,125.

Price is the amount of money one has to pay for goods or services. It is also the return on an investment or the cost of borrowing money. Price is determined by the supply and demand of a product or service. It is also influenced by market forces such as competition, production costs, and availability of resources. Price is a key factor in determining the success of a business, as it can affect consumers' buying decisions and profitability.

$M(5) - G(5) = (1.7(5)³- 6.5(5)²+ 212) - (1.6(5)²- 14(5) + 165) = $7,125
Therefore, the difference in housing prices in the fifth year is $7,125.

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The missing value using concept of similar triangle ratio is; 35

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Using the concept of similar triangles on the given diagram, we have;

p/(30 + 20) = 14/20

p = (14 * 50)/20

p = 35

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The missing angle measures are:

m∠F = 22 degrees

m∠G = 75 degrees

m∠H = m∠C = 83 degrees

m∠C = 83 degrees

m∠F = m∠A = 22 degrees

m∠G = m∠B = 75 degrees

m∠H = m∠C, since they are corresponding angles, but we still need to find the measure of m∠C.

m∠A + m∠B + m∠C = 180 degrees

22 degrees + 75 degrees + m∠C = 180 degrees

m∠C = 180 degrees - 22 degrees - 75 degrees = 83 degrees

Therefore, the missing angle measures are:

m∠F = 22 degrees

m∠G = 75 degrees

m∠H = m∠C = 83 degrees

m∠C = 83 degrees

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Answer: 1 and 2 = vertical
              3 and 4 = adjacent

Step-by-step explanation:

I am in class 7 If I know I tell you I am go to ask my teacher

Answer:

Domain:(−∞,5)∪(5,∞),{x|x≠5}

Range:(−∞,3)∪(3,∞),{y|y≠3}

Step-by-step explanation:

??????

Jet could fly a distance of 752 miles in 8 hours if it travels at the same rate.

Speed is defined as the unit rate in terms of distance travelled and the time taken to travel the distance.

Speed has only magnitude and no direction and therefore is a scalar quantity.

Given that,

a jet travels 470 miles in 5 hours.

Distance travelled = 470 miles

Time taken to travel the distance = 5 hours

Speed of the jet = 470 miles / 5 hours = 94 miles per hour

Given that jet is travelling at the same rate. So the speed is constant.

We have to find the distance travelled in 8 hours.

Let d be the distance.

Speed = Distance / Time

Distance = Speed × Time

d = 94 × 8

d = 752 miles

Hence the distance travelled is 752 miles in 8 hours.

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Answer:

Abc

Step-by-step explanation:

2b + c + 3a = Abc

Answer:

              There are three terms in the given expression.

Step-by-step explanation:

              First, a term is a single individual value on which mathematical operations occur in an algebraic expression. Essentially, terms are every part of an expression that is separated by any mathematical operation, such as PEMDAS. In the expression [tex]\frac{v}{3} -4*2[/tex], [tex]\frac{v}{3}[/tex], -4, and 2 are all terms. Therefore, there are three terms in the given equation.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

F (x)=-x^2

Step-by-step explanation:

Answer:

To find the quarterly rate of population increase, we first need to find the annual rate of population increase in decimal form, which is 2.8% expressed as 0.028.

To find the quarterly rate, we need to divide the annual rate by 4, since there are 4 quarters in a year:

0.028 / 4 = 0.007

Therefore, the quarterly rate of population increase is 0.007 or 0.7%

Answer:

The shirt costs $21

Step-by-step explanation:

2x + 3y = 127    ....eq 1

Her twin sister Hallie bought 1 pair of jeans and 4 shirts for $116.

So, x + 4y = 116     ....eq 2

Multiplying eq 2 by 2, we get :

2x + 8y = 232     ....eq 3

Subtracting eq 1 by eq 3, we get :

(2x + 8y) - (2x + 3y) = 232 - 127

5y = 105

Thus, y = 21

Putting this value of y in eq 2, we get :

x + 4(21) = 116

x = 116 - 84 = 32

Therefore, the cost of a pair of jeans = x = $32

And the cost of a shirt = $21

Answer:

11 feet long

Step-by-step explanation:

20+20=40

62-40=22

22÷2=11

check

11+11+20+20=62

Answer:

Ann will owe $15,258.23 after 6 years, assuming she makes no payments.

What is Compound Interest ?

Compound interest is a method of calculating interest on a loan or investment, where interest is earned on both the initial principal amount and on any interest that has already been earned. In other words, interest is added to the principal, and then interest is calculated on the new total amount (the principal plus the previously earned interest). This results in the interest earned growing exponentially over time.

According t o given condition :

To calculate the amount Ann will owe after 6 years, we can use the formula for compound interest:

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

where:

A = the amount Ann will owe after 6 years

P = the initial principal amount borrowed, which is $8000 in this case

r = the annual interest rate as a decimal, which is 15% or 0.15

n = the number of times interest is compounded per year, which is once annually in this case

t = the number of years, which is 6 in this case

Plugging in these values, we get:

A =

A =

A = $15,258.23

Therefore, Ann will owe $15,258.23 after 6 years, assuming she makes no payments.

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Answer:

18.4 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and 90 - 71.6 is 18.4. So, the answer is 18.4 degrees.

Answer:

c

Step-by-step explanation:

c

Answer:

A

Step-by-step explanation:

The two independent variables that could result in a change in a monthly electric bill will be Product physical dimensions and Machine operators' skill level.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Independent variables are variables that do not depend on anything.

Dependent variables are variables that depend on the independent variables.

The independent variables in the electric bill are as follows:

The two independent variables that could result in a change in a monthly electric bill will be Product physical dimensions and Machine operators' skill level.

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The simplified value of the expression is,

⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]

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 expression is,

⇒ [tex]\frac{(\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{6/5} }[/tex]

Now, We can simplify by the rule of exponent as;

⇒ [tex]\frac{(\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{6/5} }[/tex]

⇒ [tex](\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{- (6/5)} }[/tex]

⇒ [tex](\sqrt[3]{3} )^{3/5 - 6/5[/tex]

⇒ [tex](\sqrt[3]{3} )^{-3/5[/tex]

⇒ [tex]\frac{1}{\sqrt[3]{3} ^{ 3/5} }[/tex]

⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]

Thus, The simplified value of the expression is,

⇒  [tex]\frac{1}{\sqrt[5]{3} }[/tex]

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Answer:

Infinite solutions

Step-by-step explanation:

There are an infinite number of solutions. If you have a system of linear equations, the solution for the system is the value that makes all of the equations true. For two variables and two equations, this is the point where the two graphs intersect.

Answer: The number of speeding tickets issued is represented by x and the number of tickets for failure to obey traffic signals is represented by y. The total number of tickets issued is 130, so we have:

x + y = 130

The total amount of money collected in fines is $8,710.00, so we have:

67x + 67y = 8710

These two equations form a system of linear equations that can be used to determine the number of speeding tickets, x, and the number of tickets for failure to obey traffic signals, y. To solve this system, we can use any of the methods for solving a system of linear equations, such as substitution, elimination, or matrices.

Step-by-step explanation:

The coordinates of point W which is equidistant from M and N ( 7, 1 / 2).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the points are M(3, 7) and N(11, -6). The coordinates of the midpoints are,

W = ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2

W = ( 3 + 11 ) / 2, ( 7 - 6 ) / 2

W = 14 / 2, 1 / 2

W = 7, 1 / 2

Hence, the value of the coordinate of the midpoint is ( 7, 1 / 2 ).

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Answer:

-72

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

multiply-12 x3^2 and then add 36

The process of finding the value of a numerical or algebraic expression is called evaluation.

Evaluation involves substituting the given values of the variables in the expression and then simplifying the expression using the order of operations (PEMDAS).

For example, if we are asked to evaluate the expression 3x + 2y when x=4 and y=5, we would substitute these values to get 3(4) + 2(5), which simplifies to 12 + 10 = 22. Therefore, the value of the expression 3x + 2y when x=4 and y=5 is 22.

In algebra, evaluation is an important process because it allows us to find the value of an expression for specific values of the variables, which can help us to solve equations or inequalities, and to simplify expressions.

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The required five million four thousand three hundred in standard form is 5,004,300.

A number system is described as a technique of composing to represent digits. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the question, we are asked to write the word of the number five million four thousand three hundred in standard form.
So,
five million four thousand three hundred = 5,004,300
Since

1 million = 1000, 000
1 thousand = 1000
1 hundred = 100

Thus, the required five million four thousand three hundred in standard form is 5,004,300.

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Answer:

32

Step-by-step explanation:

Substitute values given into the expression :

3[2(1)+(3)]-4[((1)-(3)]+(3)²

3[5]-(-8)+9

15+8+9 =

32

Hope this helped and have a good day

The scale floor's perimeter is 34 inches.

To solve, we can set up fractions:

21/7 = 30/x

Cross multiply and you get:

21x = 210

Divide each side by 21:

x = 10

You can apply the following equation since you're attempting to determine the floor's perimeter:

2w + 2l = p

Substitute to solve:

2 ( width = 10 )

2 ( length = 7 )

2 (7) + 2 (10) = p

14 + 20 = p

34 = p

The complete question is:

The rectangular floor of a classroom is 21 feet in length and 30 feet in width. A scale drawing of the floor has a length of 7 inches. What is the perimeter, in inches, of the floor in the scale drawing?

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As per the concept of average, the cost of producing 6,000 units is $79,200.

The average, also known as the mean, is a mathematical representation of a set of data. It is calculated by adding all the values in the set and dividing the result by the number of values in the set.

When it comes to calculating the total amount of direct manufacturing cost incurred when 6,000 units are produced, it is important to use the average cost per unit. To do this, we need to multiply each average cost per unit by the number of units produced.

The total direct manufacturing cost incurred can be calculated as follows:

Direct materials = $5.20 * 6,000 = $31,200

Direct labor = $3.75 * 6,000 = $22,500

Variable manufacturing overhead = $1.65 * 6,000 = $9,900

Fixed manufacturing overhead = $2.60 * 6,000 = $15,600

The total direct manufacturing cost incurred is $79,200.

Complete Question:

Meginnis Corporation's relevant range of activity is 3,000 units to 7,000 units. When it produces and sells $5,000 units, its average costs per unit are as follows:

Average Cost per Unit

Direct materials $5.20

Direct labor $3.75

Variable manufacturing overhead $1.65

Fixed manufacturing overhead $2.60

Fixed selling expense $0.50

Fixed administrative expense $0.40

Sales commissions $1.50

Variable administrative expense $0.50

If 6,000 units are produced, the total amount of direct manufacturing cost incurred is closest to:

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The equation of circle is ( x + 1 )² + ( y - 2 )² = 20

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the points on the circle be A ( -5 , 4 ) , B ( 3 , 4 ) and C ( 3 , 0 )

Now , the equation of the circle is of the form

ax + by + c = x² + y²

Substituting the values in the equation , we get

-5a + 4b + c = 41   be equation (1)

3a + 4b + c = 25   be equation (2)

3a + c = 9   be equation (3)

Subtracting equation (2) from equation (1) , we get

-8a = 16   be equation (4)

Divide by -8 on both sides of the equation , we get

a = -2

Substitute the value of a in equation (3) , we get

3 ( -2 ) + c = 9

-6 + c = 9

c = 15

Substitute the value of a and c in equation (2) , we get

-6 + 4b + 15 = 25

4b + 9 = 25

4b = 16

b = 4

So , the value of a , b and c are -2 , 4 and 15 respectively

Now , the equation of circle will be

-2x + 4y + 15 = x² + y²

On simplifying the equation , we get

x² + y² + 2x - 4y - 15 = 0

( x² + 2x + 1 ) - 20 + ( y² - 4y + 4 ) = 0

So , the equation will be

( x + 1 )² + ( y - 2 )² = 20

Hence , the equation of circle is ( x + 1 )² + ( y - 2 )² = 20

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The equivalent expression is 81 + 9x

An algebraic expression is simply defined as an expression that is composed of terms, variables, coefficients, factors and constants.

They are also made up of arithmetic operations like subtraction, division, addition, multiplication, bracket and parentheses.

Equivalent expressions are defined as expressions with the same solution but which differs in the mode of their arrangement.

From the information given, we have that;

27+3x

Multiply the values by 3 each, we get;

81 + 9x

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Answer:

To find the equation of the line that passes through the point (5,-8) and is parallel to the line 5x-4y=16:

1. Identify the slope of the original line (m = 5/4).

2. Use the point-slope formula: y - (-8) = (5/4)(x - 5).

3. Simplify the equation.

4. The equation is y + 8 = 5/4(x - 5), or 5x - 4y = 16.