Your mom bought a new couch on sale for $840. If the sale was 30%, what was the Original Price?

Answers

Answer 1

Answer:

1200$

Step-by-step explanation:

(840/(100-30))*100

(840/70)*100

12*100

1200


Related Questions

Differentiate the function.

y = (4x − 1)^2 (4 -x^5)^4

dy/dx=​

Answers

Answer:

[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (4x - 1)²(4 - x⁵)⁴

Step 2: Differentiate

Product Rule:                                                                                                 [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify:                                                                                                          [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply:                                                                                                         [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor:                                                                                                           [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2:                                                             [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴:                                                         [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms:                                                                     [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor:                                                                                                           [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)

Answers

The simplest polynomial expression is

-26x^2+56x-15

Answer: -26x^2 + 56x -15

Step-by-step explanation:

3x(-2x + 7) - 5(x -1) (4x -3)

-6x^2 + 21x - (5x + 5)(4x-3)

-6x^2 + 21x -20x^2 +15x + 20x -15

= -26x^2 + 56x -15

The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46

Answers

Answer:

C

Step-by-step explanation:

Its C

I don’t need you to explain just answer.

Answers

Answer:

domain= {-4,2,3,4}

range = {-4,0,2,3}

Give the domain and range.

Answers

Answer:

Domain is {-2,0,2}

Range is {4,6,8}

Step-by-step explanation:

The domain is the input or x values

Domain is {-2,0,2}

The range is the output or y values

Range is {4,6,8}

Help :(((((((((( please

Answers

Answer:

the ratio of the circumference of a circle to its diameter

Step-by-step explanation:

Answer is A............

PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU

Answers

Answer:

D

Step-by-step explanation:

Starts with 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

and so on

Find the counterexample to one of the following statements

1). A triangle cannot have an angle that is greater than 90º .

2). The product of two positive numbers is always greater than their sum.

Answers

Answer:

1) You know that the addition of all interior angles of a triangle always should add up to 180°

Then, for example, we can construct a triangle with angles

100°, 40°, 40° such that

100° + 40° + 40° = 180°

So we have an example of a triangle that has one angle greater than 90°.

2) Suppose that we have the positive numbers 0.5 and 1.

The product is: P = 0.5*1 = 0.5

the sum is: S = 0.5 + 1 = 1.5

The sum is greater than the product.


The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?

Answers

Answer:

Step-by-step explanation:

The temperature falls from 0 degrees to -12.4

0-(-12.4) = 12.4

12.4/13.4 degree per hours

0.9185 degrees/ hour

Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?

Answers

Your answer would be approximately 30.93

Volume of a sphere is V=4 /3πr^3

Two sides of a triangle have lengths of 5 and 9. Which inequalities
represent the possible lengths for the third side, x? *

Answers

Answer:

4 < x < 14

Step-by-step explanation:

The third side is between the difference and the sum of the other two sides

9-5 < x < 9+5

4 < x < 14

what is the difference for -22 - (-26)​

Answers

Answer:

4

Step-by-step explanation:

Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2

Answers

Answer:

B

Step-by-step explanation:

[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]

You can confirm this by working in reverse:

[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]

Hope this helps!

Answer:

(x−4)^2

Step-by-step explanation:

I did the test

13. Nine less than a number is no more than 8 and is no less than 3.

Answers

Step-by-step explanation:

I think we can choose the number 5 so

9 - 5 = 4 no more than 8 and less than 3

Answer:

[tex]&#x \in [12, 17][/tex]

Step-by-step explanation:

[tex]3 \leq x-9 \leq 8 \\ \\&#3 \leq x-9 \\&#10;3+9 \leq x \\&#12 \leq x[/tex]

[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\&#12 \leq x \leq 17[/tex]

[tex]&#x \in [12, 17][/tex]

3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much. ​

Answers

A girl has 20 marbles

10 are red, 7 are blue, and 3 are green

If she picks 5 marbles, without replacing them, what are the chances all 5 are red?

10/20 * 9/19 * 8/18 *7/17 * 6/16

1/2 * 9/19 * 4/9 * 7/17 * 3/8

1/2 * 1/19 * 3/2

1/76

Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices ​A(2​,4​), ​B(2​,7​), ​C(5​,7​), and ​D(5​,4​).

Answers

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

whats a quadrilateral with two sides going in the same direction

Answers

Answer:

Trapezoid.

Step-by-step explanation:

That is a trapezoid ( in the UK a trapezium).

There is a pair of parallel sides.

Using the following image, solve for x.

Answers

Answer:

x=6

Step-by-step explanation:

(2+x)+1=2x-3

3+x=2x-3 .     Combine like terms

6+x=2x          Add 3 to both sides

x=6                Subtract X from both sides

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?

Answers

Answer:

your missing angle is

90+65 = 155

180-155 = 25

so your missing angle is 25 degrees

For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8

Answers

x-intercept = -4
y-intercept = -8

Answer:

The x-intercept is at  

✔ (6, 0)

The y-intercept is at  

✔ (0,-2)

Step-by-step explanation:

this is for the second question of this problem

Find the length of AB
Give your answer to 1 decimal place

Answers

Answer: 6.452cm.

As 1 decimal place it would be 6.5cm.

Answer:

6.9 cm

Step-by-step explanation:

a^2 + b^2 =C^2

a^2 + b^2 = 8^2

6.9^2 +4^2 =64

47.61 + 16 = 64

47.61  about 48

Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16

Answers

I want to say 16 but I’m not quite sure

Please help ASAP- will give brainliest! Picture Below

Answers

Answer:

c

Step-by-step explanation:

Answer:

A - ( 2, - 4 )

Step-by-step explanation:

M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )

Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.

Answers

Considering the equation for the volume of a cylinder, it is found that the correct statement is:

A. The volume of cylinder X is less than the volume of cylinder Y.

What is the volume of a cylinder?


The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

It is answer B

Step-by-step explanation:

this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.

Express the series using sigma notation. 6 + 9 + 12 + 15.

Answers

15

Σ  40

n=6

explanation; add all the numbers to get 40

6 is the first number and 15 is the last number

Answer: D on edg

Step-by-step explanation:

Marsha wanted to survey the students in the eighth grade about their favorite type of music. Which
group of students could she ask so that her sample is random?​

Answers

Answer:

add more information

Step-by-step explanation:

Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle

Answers

Answer:

We find half the measure of the central angle of the circle. Where the given shape is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle is proven. We show this as Angle BAC is a RA 360 is the measure of circle 360/2 = 180 the semi circle Angle BAC is 180/2 = 90 degree.

Step-by-step explanation:

Hope it helps you!

Answer:

A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.

Step-by-step explanation:

Specifically from the edge answer just copy and paste

How do you convert a decimal into a mixed number 10.5

Answers

Answer:

10[tex]\frac{1}2}[/tex]

Step-by-step explanation:

10.5 represents a whole number of 10 and a leftover .5 value.

.5 represents one half

the fraction for one half is 1/2.

leaving you with 10[tex]\frac{1}{2\\}[/tex]

It would be 10 1/2 because .5 represents 1/2 and u keep the 10 the same

What is the measure of ZY, in degrees?

Answers

there is no picture/reference to go off of
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