The gross annual salary of a teacher is $54 750, what's his gross monthly salary

Answer:

Part A

The estimated solution of the graph is (37/29, -30/29)

Part B

The equation of the blue line is y = 0.6·x - 1.8

The equation of the red line is y = (-4/3)·x + 2/3

Step-by-step explanation:

Part A

From the given graph, we have two lines, one red and one blue line, intersecting in Quadrant IV

Given that the equation of the lines are also required, we find the solution of the graph, through the equation of the lines as follows;

The points through which the blue line passes are (-2, -3), and (3, 0)

The slope of the blue line, [tex]m_b[/tex] = (0 - (-3))/(3 - (-2)) = 0.6

Therefore, we have;

y - 0 = 0.6·(x - 3)

∴ The equation of the blue line is y = 0.6·x - 1.8

The approximate points through which the red line passes are (-1, 2) and (-2.5, 4)

The slope of the red line, [tex]m_r[/tex] = (4 - 2)/((-2.5) - (-1)) = -4/3

Therefore, we have;

y - 2 = (-4/3)·(x - (-1)) = (-4/3)·x - 4/3

∴ The equation of the red line is y = (-4/3)·x - 4/3 + 2 = (-4/3)·x + 2/3

y = (-4/3)·x + 2/3

The solution for the graph is the point where the y-values are equal

Therefore, wat the solution point, y = y, and 0.6·x - 1.8 = (-4/3)·x + 2/3

0.6·x + 4/3·x  = 1.8 + 2/3

x = (1.8 + 2/3)/(0.6 + (4/3)) = 37/29 ≈ 1.28

At the solution of the graph, y = 0.6 × (37/29) - 1.8 = -30/29

Therefore, the estimated solution of the graph is (37/29, -30/29)

Part B

From the above solution of the graph, we have;

The equation of the blue line: y = 0.6·x - 1.8

The equation of the red line: y = (-4/3)·x + 2/3

Answer:

There is an error in the question.

All angles in an equilateral triange are 60º

Answer:

the 48

Step-by-step explanation:

fairly obvious

Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P[tex](2^t)[/tex]

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 ([tex]2^7[/tex])

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 [tex](2^t)[/tex]

Dividing both sides of the equation by 3, we get:

512.0023333333 = [tex]2^t[/tex]

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

Answer:

37

Step-by-step explanation:

Highest take the lowest

95-58=37

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

The radius of the ball is 4 cm.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get

[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]

[tex]V=267.946667[/tex]

[tex]V\approx 267.95[/tex]

Therefore, the volume of the ball is about 267.95.

Answer:

y=2x+1

Step-by-step explanation:

Hi there!

We are given the slope (m), which is 2, as well as the point (5,11).

We need to find the equation of the line.

There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept

We're already given the slope (2), so we can substitute it into the equation right away

here's the equation so far:

y=2x+b

now we need to find b.

We can do this by plugging (5,11) into the equation, as the line passes through that point.

Substitute x as 5 and 11 as y

11=2(5)+b

multiply

11=10+b

subtract 10 from both sides

1=b

substitute 1 as b into the equation

y=2x+1

Hope this helps! :)

Answer:

yehshjdjejrdjjej3u Rudd ixjje

Answer:

Step-by-step explanation:

ax+1.8a−2.5

Answer:

$5.76

Step-by-step explanation:

We solve using the formula of the area of a rectangular prism

A = 2(LW + LH + WH)

The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side

=2 × (4 × 10 + 4 × 10 + 4 ×4)

=192 square inches

If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:

1 square inch = $0.03

192 square inches = x

Cross Multiply

= 192 × $0.03

= $5.76

Answer:

b. -1/3

Step-by-step explanation:

a/4=2/3

a=8/3

(a-4)/4

(8-12)/12

=-4/12

=-1/3

Answer:

-1/3

Step-by-step explanation:

a/4=2/3

Multiply each side by 4

a/4 *4=2/3 *4

a = 8/3

(a-4)/4

(8/3 - 4) /4

Getting a common denominator

(8/4 - 12/3) /4

(-4/3)/4

-1/3

Answer:

273 - 153.94 = 119.1 [tex]in^{2}[/tex]

Step-by-step explanation:

area of a trapezoid - area of a circle = shaded area

are u taking a test Sir??

========================================

Explanation:

Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.

Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.

Since angle 3 is 55 degrees,  angle 1 is also 55 degrees.

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

Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)

In other words,

(angle ABJ) + (angle ABF) = 180

angle ABF = 180 - (angle ABJ)

angle ABF = 180 - (angle 1)

angle ABF = 180 - (55)

angle ABF = 125 degrees

Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)

Step-by-step explanation:

Kinda did it-

Answer:

BCD

Step-by-step explanation:

You can easily find out by the points at the end of line. These points indicate that this is line segment.

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY >  YX > XW

∠X   > ∠W > ∠Y

Answer:

angle X, angle W, and angle Y

Step-by-step explanation:

got it right on edge

Step-by-step explanation:

-a-7a/8

-8a-7a/8

-15a/8

Hope it helps you

Answer:

Step-by-step explanation:

WE have to find the least common denominator and it is 8

[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]

Answer:

tom = 166, ben = 581

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

therefore 1 part = 83

83 x 2 = 166

83 x 7 = 581

tom has 2 parts so he has 166

ben has 7 parts so he has 581

Answer:

Tom has 166.

Ben has 581.

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

83 × 2 = 166

83 × 7 = 581

Answer:

D

Step-by-step explanation:

Answer:

x^2 - 2x - 8.

Step-by-step explanation:

Using long division:

x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient

       x^3 - 2x^2

              -2x^2 - 4x

              -2x^2 + 4x

                         - 8x + 16

                          -8x + 16

                            ............

Answer:

Step-by-step explanation:

a) 5  > 4 +x

4 + x < 5

Subtract 4 from both sides

x < 5 - 4

x < 1

b) 2 ≤ 6c + 14

6c + 14 ≥ 2

Subtract 14 from both sides

6x ≥ 2 - 14

6x ≥ - 12

Divide both sides by 6

x ≥ -12/6

x ≥ -2

c)  -4 > 2b

2b < - 4

Divide both sides by 2

b < -4/2

b < -2

d)

[tex]7 \leq \frac{a}{3}[/tex]

[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]

Answer:

Below.

Step-by-step explanation:

(a). 5 > 4 + x

4 + x < 5      (Note that the sign is flipped)

x < 5 - 4

x < 1.

(b) and (c) are solved in the same way.

(d)  7 <= a/3

a/3 >= 7

Multiply both sides by 3

a >= 21.

(e) - as above.

(f) 6 >= 3(p + 2) - 11

3(p+2) - 11 <= 6

3p + 6 - 11 <= 6

3p - 5 <= 6

3p <= 6 + 5

3p <= 11

p <= 11/3.

Answer:y+3=1/4(x+4)

Step-by-step explanation:

First find the slope of the line with the points -1,1 and 0,-3

1-(-3)/-1-0 = -4

perpendicular is negative reciprocal which is 1/4

now we have the slope, and a point so we can put it in point slope form

y+3=1/4(x+4)

point slope form is y-y1 = m(x-x1)

with x1,y1 being the point and m being the slope

Answer:

0.20

Step-by-step explanation:

Answer:

Holly would have 20 1/10 sized ribbons.

Step-by-step explanation:

One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.

Answer:

V = 400 ft^3

Step-by-step explanation:

The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.

Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft)  =  400 ft^3

Answer:

semi-regular tessellations

Step-by-step explanation:

jzgsgßiqhwgwgah I don't know

Answers:

=======================================================

Explanation:

If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.

Divide 360 over this to find that 360/24 = 15

This means the regular polygon has 15 sides.

I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.

Answer:

false it can be in any order but must be according to the set of data