Jason is planning on retiring after 25 years of employment. For the last three years he
has made $60,000; $56,000; and $58,000. His employer offers a defined benefit plan
in which the annual pension is calculated as the product of the final three-year
average salary, the number of years of service, and a 2.25% multiplier. What will
Jason's monthly pension be?
O $27,187.50
O $2,812.50
O $32,625
O $2,718.75

Answer:

x = 30

Step-by-step explanation:

if A||B, then 4x + 2x must equals to 180 (interior angles of 2 parallel lines)

6x = 180

x = 30

Answer:

Step-by-step explanation:

The quantity of tickets sold is presumed to be a linear function of the price. The revenue from sales will be the product of the number sold and their price.

__

The quantity sold is reduced by 10 when the price goes up 1, so the slope of the quantity curve is -10/1 = -10. The given point on the quantity curve is (p, q) = (4, 200). Using these values in the point-slope equation of a line, we find ...

  q -200 = -10(p -4)

  q = -10(p -4) +200 . . . . . add 200

Then the revenue is ...

  r(p) = pq

  r(p) = p(-10(p -4) +200) = p(-10p +240)

  r(p) = -10p(p -24) . . . . factored form

This equation describes a parabola with zeros at p=0 and p=24. The peak value of the revenue is on the axis of symmetry, halfway between the zeros. That is, the price p=12 will maximize revenue. At that price, the revenue is ...

  r(12) = -10(12)(12 -24) = 10(144) = 1440

The maximum revenue is $1440 at a ticket price of $12.00.

Answer: Translate circle A using the rule (x + 3y - 1), Dilate circle A by a scale factor of 4

Step-by-step explanation:

You need to first map the centers onto each other, then make the radii equal using a dilation.

The true statements are:

From the complete question, we have the dimensions of the parking lot to be: 78 meters by 19 meters

Also, the dimension of the aisle is: 8 meters by 78 meters

The total parking area is the difference between the parking lot area and the aisle area

This gives

Parking Area = 78 * 19 - 8 * 78

Parking Area = 858

The total area available for cars to park is 858 square meters

The number of parking lot is the quotient of the total parking area and the area of each compact

So, we have:

n = 858/12.5

n = 68.64

Remove the decimal

n = 68

Hence, the number of parking space is 68

The number of parking lot is the quotient of the total parking area and the area of each non-compact space

So, we have:

n = 858/(5.5 * 3)

n = 52

Hence, the number of parking space is 52

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posting answer as a picture because it was "inappropriate"

you get maths when you practice itself

so do it yourself

The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)

From the graph the x-intercepts are:

x = -4 and x = 3

Rewrite as:

x + 4 = 0 and x - 3 = 0

Evaluate the product of both equations

(x + 4) * (x - 3) = 0* 0

This gives

(x + 4)(x - 3) = 0

Express as a function

C(x) = (x + 4)(x - 3)

Hence, the equation of the function is C(x) = (x + 4)(x - 3)

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Answer:

y=2

Step-by-step explanation:

y*3=6

divide both sides by 3

y=2

The value of the expression after rounding to the nearest tens is 600

The expression is given as:

748 - 154

When rounded to the nearest tens, we have:

750 - 150

Evaluate the difference

600

Hence, the value of the expression after rounding to the nearest tens is 600

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Answer:

Step-by-step explanation:

I'm not oversimplifying this answer.

If 1 inch is .25 miles then all you have to do is multiply .25 miles by 5 inches and u get 1.25 miles.

[tex]\begin{array}{ccll} \stackrel{in}{model}&\stackrel{mi}{actual}\\ \cline{1-2} 1 & 0.25\\ 5& x \end{array} \implies \cfrac{1}{5}=\cfrac{0.25}{x}\implies x=(5)(0.25)\implies x=1.25[/tex]

The dimensions of the rectangular prisms are the side lengths of the rectangular prism

A rectangular prism has the following dimensions

Length, width and height

This means that the dimensions of the rectangular prisms are the length, width and height  of the prism

To determine the dimension, we simply take the value of the above terms i.e. length, width and height

Note that the question is incomplete, so I gave a general explanation

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Answer:

Diverge

Step-by-step explanation:

Each successive term is larger than the previous one, so the series will diverge.

The given series can be condensed to

[tex]\displaystyle \frac14 + \frac13 + \frac49 + \frac{16}{27} + \frac{64}{81} + \cdots = \frac14 \left(1 + \frac43 + \frac{4^2}{3^2} + \frac{4^3}{3^3} + \cdots\right) = \frac14 \sum_{n=0}^\infty \left(\frac43\right)^n[/tex]

which is a geometric series with ratio 4/3. Since this ratio is larger than 1, the sequence of partial sums of the series diverges, so the infinite series also diverges.

We can also just the n-th term test:

[tex]\displaystyle \lim_{n\to\infty} \frac14 \left(\frac43\right)^n = \frac14 \lim_{n\to\infty} \frac{4^n}{3^n} = \infty[/tex]

since 4ⁿ > 3ⁿ for all n > 0.

Answer:

Figure JK is shown in the drawing.

Step-by-step explanation:

Answer:

Rectangle A=bh=4 x 3

Triangle A=1/2bh=1/2 x4 x3

The area of the figure

12+6=18

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Answer:

area:1.9×0.75÷2

perimeter:2+0.75+2.25

The visitor data is best modelled by a quadratic function  

Based on the model, the state park management should plan for more than 400 visitors next year

From the question, we are to determine the type of function that best describes the visitors data.

From the graph, we deduce that the type of function that best describes the visitors data is a quadratic function

Also, from the graph, we can say that the state park management should plan for more than 400 visitors next year

Hence, the visitor data is best modelled by a quadratic function  

Based on the model, the state park management should plan for more than 400 visitors next year

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Answer:

The correct answers are Quadratic and More.

Step-by-step explanation:

I got it right on the Edmentum test.

The angle 11π/12 radian after converting it to degree it become 165 degree.

The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.

We have given:

An angle 11π/12

Let's denote it with β

[tex]\rm \beta = \dfrac{11\pi}{12}[/tex]

To convert it to degree, replace π with 180°, we get:

[tex]\rm \beta = \dfrac{11\times180}{12}[/tex]

β = 165°

Thus, the angle 11π/12 radian after converting it to degree it become 165 degree.

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Answer: C

Step-by-step explanation:

To determine if a triangle is equilateral, you need to see if all the sides have the same length.

Answer:

C

Step-by-step explanation:

Ben

To calculate a patient's heart rate, the doctor must take into account a segment of time, such as a minute, and count the number of times the heart beats in that segment.

Heart rate is a term that refers to the number of heart contractions or beats per unit of time.

Heart rate is usually measured at various points, but most commonly it is measured at the wrist, neck, or chest.

According to the above, the most common way for the doctor to establish the patient's heart rate is to count the heart beats in a segment of time such as one minute.

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60 beats per minute

I got it right on the Kahn Academy Unit Test, trust me <3

Answer:

No solution

Step-by-step explanation:

As the coefficient of x is the same, and the constant terms are different, the lines will lie parallel to each other and never intersect.

Hence, this system of equations has no solution.

Answer:

no solution

Step-by-step explanation:

the equation has no solution

Answer:

x would be 48

Step-by-step explanation:

180 (because its a straight line) take away 132 and it gives you 48

Answer:

312

Step-by-step explanation:

T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area

9 - 3 = 6 - 3 = 3

( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area

72 + 48 + 192 = 312

to get the equation of any straight line, we simply need two points off of it, so let's use the points in the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{2}(x-\stackrel{x_1}{1})[/tex]

now, if we use the last point from the table, namely (x , 17), we can see that x = x and y = 17, so let's plug those in the equation

[tex](17)-5=2(x-1)\implies 12=2x-2\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (7~~,~~17)~\hfill[/tex]

Answer:

1/8

Step-by-step explanation:

Answer:

0.125%

Step-by-step explanation:

area of square

10*10=100

area of triangle

(5*5)/2=12.5

[tex]\frac{12.5}{100}[/tex]=0.125

The two angles are 45 degrees.

Step-by-step explanation:

You are just halfing the 90 degree angle, so all you have to do is divide 90 by two, and you have 45.

Answer:

2058

Step-by-step explanation:

every 5 years is 0.53 so you times that by 11 to get 7.61 and then half of .53 is .265 and round that up you get three more years so 2058 is the answer.

A' = (-6, 2), B' = (-3/2, 4), C' = (9/2, 3),  D' = (3, -2) and E' = (-3, -1). The new figure is similar to the original figure

An equation is an expression that shows the relationship between two or more variables and numbers.

A horizontal stretch by a factor of k uses the rule: (x,y) → (kx, y). Pentagon ABCDE is stretched horizontally by a factor of 3/2, hence:

A' = (-6, 2), B' = (-3/2, 4), C' = (9/2, 3),  D' = (3, -2) and E' = (-3, -1)

The new figure is similar to the original figure

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