3. ) Mary is the director of the Washington Performing Arts Center. Her employer offers a pension. Mary’s employer uses a formula to calculate the pension. Marina is planning on retiring at the end of this year after 30 years of employment. A retiring employee receives 1. 6% of his or her average salary for the last 5 years of employment multiplied by the number of years worked. Mary would receive this amount each year until her death. Her salaries for the last 5 years are $80,900; $90,200; $95,000; $99,000; and $104,000. Calculate Marina’s pension

Answer: I dont know

Step-by-step explanation:

Honestly I agree

Answer:

a decagon is 36° and I'm not sure about the 20-gon sorry

The cost of filling the cone to its full capacity would be = 189.4 cents

A cone is a three-dimensional figure in geometry that tapers from a flat base (usually a circular base) to a point called a vertex or longitude (which forms an axis through the center of the base).

The formula for the volume of a cone = πr²h/3

Height (h) = 5 inches

Radius (r) = 3 inches

π = 3.14

volume = 3.14 × 3² × 5/3

= 3.15 × 9 × 1.67

= 47.35 in³

But 1 in³ = 4 cents

47.35 in³ = X

Make X the subject of formula;

X = 47.35 × 4 = 189.4 cents.

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Answer:

$31.23

Step-by-step explanation:

4.1% = .041

30 * .041 = 1.23

--------------------

30 + 1.23 = 31.23

Answer:

$31.23

Step-by-step explanation:

Tax is 1.23

multiply .041 by 30 and add it to 30

Answer:

the answer is a rectangle with dimensions 3cm and 5cm

James's house is 24.6 feet tall because he is using a scale of 0.5 inch per 1 foot. To get this measurement, he multiplied 12.3 inches (the height of the doll house) by 2.

1. Take the height of the doll house (12.3 inches).

2. Multiply 12.3 inches by 2.

3. The result is 24.6 feet which is the height of James's house.

James is building a doll house that is proportional to his own house. He is using a scale of

0.5 inch = 1 foot,

which means that for every 0.5 inch in the doll house, 1 foot is represented in his house. To calculate how tall his house is, we need to figure out how many inches the doll house is. The doll house is 12.3 inches tall. To get the height of James's house, we need to multiply this by 2. Thus, 12.3 inches multiplied by 2 equals 24.6 feet, which is the height of James's house. This is because for every 0.5 inch in the doll house, 1 foot is represented in his house. Therefore, with the scale of 0.5 inch = 1 foot, the height of James's house is 24.6 feet.

1. Determine the scale of the doll house (0.5 inch = 1 foot).

2. Measure the height of the doll house (12.3 inches).

3. Multiply 12.3 inches by 2.

4. The result is 24.6 feet which is the height of James's house.

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On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

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Answer:

55 miles per hour

Step-by-step explanation:

The equation is:

R = d / s

We know

d = 495 miles

s = 9 hours

Let's solve

R = 495 / 9

R = 55 miles per hour

So, their driving rate is 55 miles per hour

Answer:

Correct, 25.

Step-by-step explanation:

I'm not a bot but the answer is

y = -2x + 7

Step-by-step explanation:

The slope of the new line is m = -2 and it goes through (3, 1). The equation for this is

y = -2x + b ----> 1 = (-2)(3) + b or b = 7

Therefore, the equation has the form

y = -2x + 7

The value of a=0 in a given expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

If the value of 2x² - a*5 when x = 0 is 0, then we can substitute x = 0 into the equation and solve for a.

So,

[tex]2(0)² - a5 = 0[/tex]

[tex]-a5 = 0[/tex]

[tex]a = 0[/tex]

Therefore, the value of a should be 0.

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Answer:

d

50.5

not a function

A

? cant see the last one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

All you have to do is simplify all of them and put them in order from least to greatest.

Answer:

It is A

Step-by-step explanation:

The negative are suppose to be first s it is A

Answer:

y = -8/3x + 73/4

Step-by-step explanation:

A line perpendicular to the 3rd equation has a slope that is the negative inverse of the other line. It also has the same y-intercept (b) because it is forming a square.

Therefore, the equation of the 4th line is:

y = -8/3x + 73/4

Answer:

Holy has $85 dollars remaining.

Step-by-step explanation:

(There is no model given in the question, so I'll tell you what the model should be equal to)

If she has $125 to spend, and she spends $35 of that money on gas, she will have $85 left.

$125 - $35 = $85

An inverse does not exist for a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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On observing the provided question we can say that - the function f(x) = a^x is Range : (−∞,∞) or all real numbers

Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the number and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The answer to the question is that all real numbers or (−∞,∞)

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The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.

What is expression?

It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.

Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.

As example 4 + 3 or 100÷4

The expression which has both variables and numbers is called algebraic expression.

As example X+6 or 25+5y

What is coefficient?

In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y

but 24 is a constant number.

How can we determine the coefficient from the given expression?

We are given three expressions, these are 2xA²y, 10xyA² and 5yA²

for the 1st expression, 2 is the coefficient of A²y

for the 2nd expression, 10 is the coefficient

for the last 5 is the coefficient.

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The equation of the circle in standard form is  ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.

A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.

Equation of the circle in standard form is,

( x-h )2 + ( y-k)2 = r2

we have to find the  the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.

here, h = ( x1 + x2 ) / 2

         k = ( y1 + y2 ) / 2

here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between  (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.

so, h = -5 + 7 / 2 = 1

     k = -5 + 2 / 2 = -3/2

Putting all the values we get the equation of circle in standard form.

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Answer:

9

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.

Here,

Given : 2x + 3 =0

thus,

To find that it is linear equation in two variable is given  equation

As,

We can see there is only one variable that is x.

So , it is not a linear equation in two variables.

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

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Answer:

x=40º

Step-by-step explanation:

A straight line is 180º

180-40=140º

180-140=40º

x=40º

Hope this helps :)

Answer:

x = 2

Step-by-step explanation:

these angles are alternate-interior angles which are congruent

-1 + 38x = 36x + 3

38x = 36x + 4

2x = 4

x = 2

Ans

184 sq meter

Step-by-step explanation:

Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)

Where FA= Front face area

SA= Side face area

TA= top face are

Here FA= length * breadth = 10*6=60 sq meter

SA= 10*2= 20 sq meter

TA= 6*2= 12 sq meter

So area of box= 2*60+2*20+2*12= 184 sq meter

Answer:

Method 1: $12.75

Method 2: $9

Step-by-step explanation:

method #1: 32-15 is $17

In order to take off a percentage, we must find that percentage of the amount. To do this, we must multiply by the percent in decimal form, so

[tex]17 \times .25 = 4.25[/tex]

Now, this amount just represents the percent of 17 we would take off, so we must take that amount off.

[tex]17 - 4.25 = 12.75[/tex]

We would pay $12.75

Method #2:

There are a few ways to do this with 25%. we know 25% is 1/4, and 1/4 or $32 is 8. so we can simply take that off from the start. Otherwise, we can follow the method above as follows

[tex]32 \times .25 = 8[/tex]

Again, this is the amount off so we must subtract.

[tex]32 - 8 = 24[/tex]

now, we subtract 15.

[tex]24 - 15 = 9[/tex]

We would pay $9 using this method.

Hope this helps!

The Triangle Similar to ΔABC is ΔDEF in which m <E = 80 and m <F = 35.

The Correct option is (A).

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Given:

In  ABC, m<A= 65 and m<B= 80

Now, using Angle sum Property

m<A + m <B + m <C = 180

65+ 80 + m<C= 180

m <C = 180 - 145

m <C = 35

So, the similar Triangle will be  DEF in which m <E = 80 and m <F = 35.

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Answer:

B

Step-by-step explanation:

1 foot is 12 inches

5 x 12 = 60

Answer:

$8.75

Step-by-step explanation:

52.50/6=8.75

To make sure that is correct

8.75×6

Answer:

Her hourly rate is $8.75

Step-by-step explanation: