A man received a monthly salary of $3500 together with a commission of 5% on all sales over $5000 per month. Calculate his gross salary in a month in which his sales amounted to $40,000.

Answer:

33.51 sq units

Step-by-step explanation:

A=Θπr^2/360= 60 x pi x 8^2/360=33.51032164=33.51 sq units

Answer:

D

Step-by-step explanation:

-(-4)=+4

so it is -20+4

Answer:

D) -20 + 4 is the answer.

Step-by-step explanation:

1) Record the terms .

[tex]4 - 20[/tex]

2) Use this rule: a - b = -(b - a)

[tex] - (20 - 4)[/tex]

3) Use algorithm method.

(see the attached picture)

4) After simplifying, we have:

[tex] -(20 - 4) = - 16[/tex]

5) therefor, -20 + 4 = -16

[tex] - 16[/tex]

Answer:

h(- 4) = - 23

Step-by-step explanation:

To evaluate h(- 4) substitute x = - 4 into h(x) , that is

h(- 4) = 5(- 4) - 3 = - 20 - 3 = - 23

h (-3) = 57

why does it keep saying to explain dis.... dont answer that

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:

heloooooooooooooooooooooio

Step-by-step explanation:

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Answer:

33 ft

Step-by-step explanation:

C = 2 r [tex]\pi[/tex]

The length of the arc is [tex]\frac{18\pi }{360}[/tex] × 210 ≈ [tex]\frac{18*22*210}{360*7}[/tex] = 33 ft .

Answer:

first blank- 2 second blank- 3 1/2 or 4 may be 3 too

Step-by-step explanation:

well when you look at the shape you can go from a to b and count the blocks which it would be 2

and you would want to do the same thing with C,D

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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:

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:

1331 m^2

Step-by-step explanation:

To find the volume of the cube, we should first find the length of one side's edge. The square root of 121 (the face area) gives us our edge length, 11.

Now, to find the volume of the whole cube, we use the equation V=11^3, and our result is 1331.

Answer:

There is an error in the question.

All angles in an equilateral triange are 60º

Answer:

37

Step-by-step explanation:

Highest take the lowest

95-58=37

Answer:

$31728

Step-by-step explanation:

sorry if I'm wrong

Answer:

(7.8, ∞)

Step-by-step explanation:

Given the inequality :

x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8

The interval for which the inequality holds true is :

x > 7. 8 - - - > (7.8, ∞)

Answer:

1) x³y²

2) 6x²y³

Step-by-step explanation:

hope it helps...

Answer:

200/17 years

Step-by-step explanation:

Simple interest = (principle * time * rate) / 100i

Answer:

7 gallons

Step-by-step explanation:

Montraie is driving on a long road trip

He currentlyhase 13 gallons of fuel in his car

Each hour that he drives, he uses up 1 gallon of fuel

Therefore the amount of gas that would be left after 6 hours can be calculated as follows

= 13-6

= 7

Hence there will be 7 gallons of fuel left

=

Answer:

S=54fr^2 T=81ft^2 U= 54 ft^2 V= 54 ft^2 W= 54 ft^2 X= 81 ft^2

Step-by-step explanation:

You got it correct, dont stress!

Answer:

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

Answer:

0.20

Step-by-step explanation:

Answer:

length of the longest pencil that can fit must be less than 13cm

Step-by-step explanation:

To get the longest pencil that fit the case, we will use the pythagoras theorem;

diameter = 10cm

radius = 10/2

radius = 5cm

Height = 12cm

Get the length of the longest side

l² = r²+h²

l² = 5²+12²

l² = 25 + 144

l² = 169

l = √169

l = 13cm

Hence the length of the longest pencil that can fit must be less than 13cm

Answer: 6.0 x 10^7

Step-by-step explanation:

60000000 = 6.0 x 10^7

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:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]x+9+3x=4x+2(x-3.5)[/tex]

Distribute 2 to the parenthesis

[tex]x+9+3x=4x+2x-7[/tex]

Combine like terms

[tex]4x+9=6x-7[/tex]

Subtract 4x from both sides

[tex]4x+9=6x+-7[/tex]

[tex]-4x[/tex]        [tex]-4x[/tex]            

[tex]9=2x+-7[/tex]

[tex]2x+-7=9[/tex]

Add 7 to both sides

[tex]2x+-7=9[/tex]

        [tex]+7[/tex]    [tex]+7[/tex]

[tex]2x=16[/tex]

Divide both sides by 2

[tex]2x=16[/tex]

[tex]/2[/tex]      [tex]/2[/tex]

[tex]x=8[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

ax+1.8a−2.5

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Answer:

The volume of the cylinder is 942 cubic kilometer.

Step-by-step explanation:

Height of the cylinder, h = 12 km

radius of the cylinder, r = 5 km

The volume of cylinder is given by

[tex]V=\pi r^2h\\\\V = 3.14\times 5\times 5\times 12\\\\V =942 km^3[/tex]

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:

SA = 748π in²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

Step-by-step explanation:

Step 1: Define

Identify variables

r = 11 in

h = 23 in

Step 2: Find Surface Area