A DVD is available at a store for $17.68. The list price of this DVD was 5 18.99. What was the percent discount?​

Answers

Answer 1

Answer:

  6.9%

Step-by-step explanation:

The amount of the discount was ...

  18.99 -17.68 = 1.31

As a percentage of the original price, that is ...

  1.31/18.99 × 100% ≈ 0.06898 × 100% ≈ 6.9%

The discount was about 6.9%.


Related Questions


Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, –6, 12, –24, 48,

Answers

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, -6, 12, -24, 48

The recursive formula for this sequence is

f (n + 1) = -2 f(n)

at n=1 f(n)= 3

at n = 2

f(2)=-2 (3) = -6

n = 3

f(3) = -2 (-6) = 12 and so on

hope this helps !!!!

Answer:

f (n + 1) = -2 f(n)

Step-by-step explanation:

Find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 What value corresponds to the 60th percentile

Answers

Answer:

Percentile rank:

12  =  7th

28 = 21st

35  = 36th

42  = 50th

47  = 64th

49   = 79th

50 =  93rd

- Vth number i.e. 47 is the value that corresponds to the 60th percentile.

Step-by-step explanation:

As we know,

Percentile rank = [(Number of values below x) + 0.5]/total number of values * 100

For 12,

Percentile rank = [0 + 0.5]/7 * 100

= 7th

For 28,

Percentile rank = [1 + 0.5]/7 * 100

= 21st

For 35,

Percentile rank = [2 + 0.5]/7 * 100

= 36th

For 42,

Percentile rank = [3 + 0.5]/7 * 100

= 50th

For 47,

Percentile rank = [4 + 0.5]/7 * 100

= 64th

For 49,

Percentile rank = [5 + 0.5]/7 * 100

= 79th

For 50,

Percentile rank = [6 + 0.5]/7 * 100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100 * 7

= 0.6 * 7

= 4.2

After rounding it off,

5th value is the 60th percentile i.e. 47.

f(x) = x ^ 2 - x - 6; g(x) = 2x ^ 2 + 5x + 2 Find: (f/g)(X)

Answers

Answer:

[tex](\frac{f}{g})(x) = \frac{x- 3}{2x + 1}[/tex]

Step-by-step explanation:

Given

[tex]f(x) =x^2 -x - 6[/tex]

[tex]g(x) = 2x^2 + 5x + 2[/tex]

Required

[tex](\frac{f}{g})(x)[/tex]

This is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

So, we have:

[tex](\frac{f}{g})(x) = \frac{x^2 - x - 6}{2x^2 + 5x + 2}[/tex]

Expand

[tex](\frac{f}{g})(x) = \frac{x^2 +2x - 3x - 6}{2x^2 + 4x+x + 2}[/tex]

Factorize

[tex](\frac{f}{g})(x) = \frac{x(x +2) - 3(x + 2)}{2x(x + 2)+1(x + 2)}[/tex]

Factor out x + 2

[tex](\frac{f}{g})(x) = \frac{(x- 3)(x + 2)}{(2x + 1)(x + 2)}[/tex]

Cancel out x + 2

[tex](\frac{f}{g})(x) = \frac{x- 3}{2x + 1}[/tex]

In a quiz , positive marks are given for correct answers and negative marks are given dor incorrect answers. If Jack's scores in five successive rounds were 25,-5,-10, 15 and 10 , what was the total at the end.​

I need it fast​

Answers

Given:

Jack's scores in five successive rounds were 25,-5,-10, 15 and 10.

To find:

The total score at the end.​

Solution:

It is given that the scores in five successive rounds were 25,-5,-10, 15 and 10. So, the sum of the scores at the end is:

[tex]Sum=25+(-5)+(-10)+15+10[/tex]

[tex]Sum=(25+15+10)+(-5-10)[/tex]

[tex]Sum=50+(-15)[/tex]

[tex]Sum=50-15[/tex]

[tex]Sum=35[/tex]

Therefore, the total score at the end. is 35.

Solve for x Solve for x Solve for x

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The two right triangles share angle A, so the similarity statement can be written ...

  ΔABC ~ ΔADE

Corresponding sides are proportional, so we have ...

  BC/DE = AB/AD

  x/12 = 3/(3+9)

  x = 3 . . . . . . . . . . multiply by 12

Answer:

x=3

this is correct!!!

0.
DETAILS
Model the data using an exponential function f(x) = Ab".
X
0
1
2
f(x)
400
240
144
f(x) =
Need Help?
Read It

Answers

I think The answer is 250

During a certain 9-year period, the Consumer Price Index (CPI) decreased by
45%, but during the next 9-year period, it decreased by only 5%. Which of
these conditions must have existed during the second 9-year period?
A. Deflation
B. Stagnation
C. Conflation
D. Inflation

Answers

Answer:

deflation ,,,,

Step-by-step explanation:

I hope it's helpful for you ☺️

Deflation must have existed during the second 9-year period.

What is deflation?

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. This means that the purchasing power of money increases, as the same amount of money can buy more goods and services.

The opposite of inflation, which is an overall rise in the cost of goods and services over time, is deflation. Money loses value due to inflation, whereas it gains value due to deflation. Deflation can reduce demand for goods and services, though, if it lasts for a long time. This is because customers may put off purchases in expectation of cheaper costs. A downturn in economic activity may follow, which would be bad for the economy.

Given data ,

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. A decrease in the Consumer Price Index (CPI) is a measure of deflation.

In the first 9-year period, the CPI decreased by 45%, which indicates a significant deflationary period. In the next 9-year period, the CPI decreased by only 5%, which still indicates a deflationary period, but not as severe as the previous one.

Hence , the process is deflation in the second year

To learn more about deflation click :

https://brainly.com/question/30060490

#SPJ7

Which equation has a constant of proportionality equal to 2?

Answers

Answer:

[tex]{ \tt{y = 2x}}[/tex]

Answer:

2y=x

Step-by-step explanation:

Morgan puts $3,200 into an investment account that earns compound
interest at a rate of 0.6% per month. Calculate the accumulated amount in
Morgan's account at the end of the 15th month.

Answers

Answer:

3500.416

Step-by-step explanation:

Compound interest formula

A = A0(1 + r/n)^nt

3200(1 + 0.6%)^15

3200(1 + 0.006)^15

3200(1.006)^15

Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection

Answers

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

I’m honestly not the best at math, can someone help?

Answers

Answer:

1/8

Step-by-step explanation:

Using the factor tree, we see that there is 8 possible outcomes ( right hand side)

There is only 1 way to go from left to right and have 3 wins

P(3 wins) = good outcomes / total

               =1/8

James, Aimee and Zack have
weighed their suitcases. Each
weighs a prime number of
kilograms and the total weight
is 40kg.
an
What's the difference between
the lightest and heaviest
suitcase?​

Answers

Answer:

29Kg

Step-by-step explanation:

P1=2Kg

P2=7Kg

P3=31Kg

P3-P1=29Kg

To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.

I was lucky and I got the result after few steps :-)

Someone help please

Answers

66 because you have to solve the problem next time

Help please
Please help

Answers

9514 1404 393

Answer:

  4. True

  5. False

Step-by-step explanation:

4. The number of x-intercepts produced by the quadratic formula may be 0, 1, or 2. It will be 0 if the two roots are complex. It will be 1 if the two roots lie in the same place (one root with multiplicity 2). It is true that there may be only one x-intercept.

__

5. The value of 'b' in the quadratic formula is the coefficient of the linear term. In the given quadratic, it is -5, not 5.

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!! THIS IS NOT A TEST OR AN ASSESSMENT!!! Please help me answer these questions. Chapter 12 part 1

1. What is a recursive formula?

2. What is a factorial?


3. What is the relationship between sequences, series and sigma notation?

Answers

Answer:

1. What is a recursive formula?

A recursive formula is a formula that defines each term of a sequence using preceding terms of the sequence.

2. What is a factorial?

factorial the product of all positive integers less than or equal to n:

3. What is the relationship between sequences, series and sigma notation?

A series can be represented in a sigma notation.

A series can be represented in a sigma notation.A series is a sum of a sequence of terms.

If anyone can give me the answer that will be greatly appreciated :)

Answers

42-x=58

or, -x=58-42

with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.

or, -x= 16

or,x=-16.

therefore x=-16...

Hope this helps you.

(c³d)a(cd⁷)a
Simplify

Answers

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?

Answers

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

Answer:

y=1/4x  

Step-by-step explanation:

Just did the math ;D

find the area of this unusual shape.

Answers

Answer:

104 m^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the area of the triangle

A = 1/2 bh = 1/2 (8) * 6 = 24

Add the areas together

80+24 = 104 m^2

Which is the correct calculation of the y-coordinate of point A? 0 (0 - 0)2 + (1 - y2 = 2 O (0 - 1)² + (0- y2 = 22 (0-0)² + (1 - y2 = 2 (0 - 1)2 + (0-y2 = 2​

Answers

Answer:

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

If we know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]r = 2[/tex], then the equation of the circle is:

[tex]x^{2} + y^{2} = 4[/tex] (1b)

Then, we clear [tex]y[/tex] within (1b):

[tex]y^{2} = 4 - x^{2}[/tex]

[tex]y = \pm \sqrt{4-x^{2}}[/tex] (2)

If we know that [tex]x = 1[/tex], then the y-coordinate of point A is:

[tex]y = \sqrt{4-1^{2}}[/tex]

[tex]y = \sqrt{3}[/tex]

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

I need to know the answer and the work it asks for

Answers

Answer:

b 25x6 = 150

25 decreases every month so

150 decreses every 6 month

800-150

650 are the bees remaining after 6 month

Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

Answers

Answer:

9.42

Step-by-step explanation:

The circumference of a circle is calculated using the following formula:

C=2πr (C: circumference, r : radius)

radius here is 6 and π  is given as 3.14

2*(3.14)*6 = 18.84 now divide this by 2 to find the length of semicircle

18.84/2 = 9.42

Answer:

Step-by-step explanation:

2-[6÷2+{6×1/2+(7/2-3/2)}]​

Answers

Answer:

-6

Step-by-step explanation:

2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =

Follow the correct order of operations.

Do one step at a time and copy everything else each time, so you don't lose track of any operation.

= ​2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]

= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]

= 2 - [6 ÷ 2 + {3 + 2}]

= 2 - [6 ÷ 2 + 5]

= 2 - [3 + 5]

= 2 - 8

= -6

Answer:

-6

hope this helps

Step-by-step explanation:

2_(6÷2+(6*1/2+(7/2-3/2))) solve the ones in bracket first

(7/2-3/2)=2

2-(6÷2+(6×1/2+2))

6×1/2+2

6×1/2=3

3+2=5

2-(6÷2+5)

6÷2=3

3+5=8

2-8

=-6

Kids with cell phones: A marketing manager for a cell phone company claims that the percentage of children aged 8-12 who have cell phones differs from 52%. In a survey of 832 children aged 8-12 by a national consumers group, 449 of them had cell phones. Can you conclude that the manager's claim is true? Use the a 0.10 level of significance and the P-value method. 1. State the appropriate null and alternate hypotheses.2. Compute the test statistic.

Answers

Answer:

Low-value method

Step-by-step explanation:

consumers group

The hypotenuse of a right triangle is 16 units and the length of one of the legs is 12 units. What is the length of the other leg in simplest radical form?

A. 2√13
B. 4√11
C. 2√17
D. 4√7

Answers

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

I need help with this

Answers

Answer: D

Step-by-step explanation:

When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)

The three coordinates of ΔCDE are

C = (-8, -1)D = (-6, -5)E = (-2, -4)

After the y-axis reflection, they'll become:

C' = (-(-8), -1) = (8, -1)D' = (-(-6), -5) = (6, -5)E' = (-(-2), -4) = (2, -4)

I hope this is correct :\

At 2pm, the temperature was 9°F. At 11pm, the temperature was -11°F. What was the change in
temperature?

Answers

Answer:

21 degrees

Step-by-step explanation:

I did it on the calculator

HHHEELPP HELP HELP!!
I need the answer ASAP!!!!

Answers

Answer:

Step-by-step explanation:

B because the vertex is at point (3, 4) which is greatest.

Answer:

[tex]\text{b. } y=-(x-3)^2+4[/tex]

Step-by-step explanation:

Algebraically, we want to compare the y-coordinates of the vertex, since all the functions shown are parabolas that are concave down.

Let's break the format down:

The negative sign in front of each of the functions indicate that the parabolas will be concave down (open downwards), which means the vertex represents the function's maximum. The term inside the parentheses when applicable to just indicates the horizontal/phase shift.

Since the first term being squared is negative, we want to minimize its value to produce the greatest possible y-value.

Therefore, substitute whatever value of [tex]x[/tex] that makes each [tex]x^2[/tex] term equal to 0. (Maximum value of [tex]-x^2[/tex] is 0).

Therefore, we can simplify compare the last terms in each equation.

Equation A's last term is 3.

Equation B's last term is 4.

Equation C's last term is -5.

Equation D's last term is 0.

Since equation B has the greatest last term, it will have the greatest possible y-value.

Use the limit comparison test to determine whether ∑n=19∞an=∑n=19∞8n3−2n2+196+3n4 converges or diverges.

(a) Choose a series ∑n=19∞bn with terms of the form bn=1np and apply the limit comparison test. Write your answer as a fully simplified fraction. For n≥19,

limn→∞anbn=limn→∞


(b) Evaluate the limit in the previous part. Enter ∞ as infinity and −∞ as -infinity. If the limit does not exist, enter DNE.
limn→∞anbn =


(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?

Answers

Answer:

Diverges

General Formulas and Concepts:

Algebra I

Exponential Rule [Dividing]:                                                                         [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                     [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Series Convergence Tests

P-Series:                                                                                                         [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Limit Comparison Test (LCT):                                                                       [tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]

Step 2: Apply DCT

Define Comparison:                                                                                     [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{n^3}{n^4}[/tex][Comparison Sum] Simplify:                                                                         [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n}[/tex][Comparison Sum] Determine convergence:                                             [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n} = \infty , \ \text{div by P-Series}[/tex]Set up inequality comparison:                                                                     [tex]\displaystyle\frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \geq \frac{1}{n}[/tex][Inequality Comparison] Rewrite:                                                                 [tex]\displaystyle n(8n^3 - 2n^2 + 19) \geq 6 + 3n^4[/tex][Inequality Comparison] Simplify:                                                                 [tex]\displaystyle 8n^4 - 2n^3 + 19n \geq 6 + 3n^4 \ \checkmark \text{true}[/tex]

∴ the sum  [tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]  is divergent by DCT.

Step 3: Apply LCT

Define:                                                                                                           [tex]\displaystyle a_n = \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}, \ b_n = \frac{1}{n}[/tex]Substitute in variables [LCT]:                                                                       [tex]\displaystyle \lim_{n \to \infty} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \cdot n[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4}[/tex][Limit] Evaluate [Coefficient Power Rule]:                                                   [tex]\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4} = \frac{8}{3}[/tex]

∴ Because  [tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} \neq 0[/tex]  and the sum  [tex]\displaystyle \sum^{\infty}_{n = 19} a_n[/tex]  diverges by DCT,  [tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]   also diverges by LCT.

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

Unit: Convergence Tests (BC Only)

Book: College Calculus 10e

Other Questions
If your organization hires a new employee, what would you do to create a user account in the Linux system and add the account to a group? What commands would you use? What configuration files would you check and modify? How did industrial development help to create big towns and cities what is the significance of t tubules? PLS TELL ME HOW TO FIND THIS ANGLE Instructions: Find the missing side. Round your answer to the nearest tenth.2825 Find the value of x to the nearest tenth. which two phenomena make up electromagnetism?A) moving charges in an electric current attract each otherB) permanent magnets form a magnetic field from one pole to the other poleC) an electric current causes a magnetic field around a core of magnetic metalD) a moving magnet causes an electric current in a magnetic metal Inc. has just now paid a dividend of $2.50 per share (Div0); its dividends are expected to grow at a constant rate of 4 percent per year forever. If the required rate of return on the stock is 14 percent, what is the current value of the stock, after paying the dividend?a. $26 b. $25 c. $17.86 d. $21.33 Find the length of AC March the definition to the correct term 9. Which is the SI base unit of mass?litermeterpoundkilogram write parasitic adaption of flat worm solve for F ------- 2/3 + f = 1/5A= 13/15B= 7/15C= - !3/15D= - 7/15 What is the price after taking 25% off $62? I need help on the crossing movie 1. How many Hessians were taken prisoner and how many Americans were killed or wounded at the Battle of Trenton?2. How many months after the American Declaration of Independence was the Battle of Trenton fought? 3. In the Battle of Trenton, the Continentals outnumbered the Hessians almost 2 to 1. The Hessians were surprised and were poorly led. Why was this victory considered so important?4. Where did the Hessians come from and why were they fighting for the British? 5. What would probably have happened to the American Revolution had Washington not crossed the Delaware and engaged the Hessians at Trenton at the end of December, 1776? 6. One of the memorable incidents shown in the film is Washington making a joke at the expense of General Knox, his commander of artillery. The novelist and screenwriter, Howard Fast, found a reference to this in the memoirs of some of the soldiers who were present. What role did Washington's joke play in his leadership at the Battle of Trenton? 7. Describe three actions other than cracking the joke about General Knox that Washington took which showed leadership at Trenton. 8. Washington was described as one of those rare few who, under fire, appeared to be without fear. Why is this important in a military leader? 9. After the battle, the character of General Greene asks the character of General Washington to speak with Colonel Rall before Rall dies. Washington replies: "Do you want me to weep for those b******, men who kill for profit?" General Greene responds that: "Our own cause at its heart is a fight against taxation, is it not? In the end, we all kill for profit, the British and the Hessians and us." Do you agree with the character of General Greene that the American Revolution was fought for money?10. (Be honest; Don't deceive, cheat or steal; Be reliable -- do what you say you'll do; Have the courage to do the right thing; Build a good reputation; Be loyal -- stand by your family, friends and country) The Battle of Trenton shows the Continental troops demonstrating this Pillar. What did they do? Do the two trapezoids in the figure appear to be similar? Why or why not?options:A) They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.B) They're similar because two pairs of corresponding angles in the two trapezoids are congruent.C) They're similar because one pair of corresponding angles in the two trapezoids is congruent.D) They're not similar because two pairs of corresponding angles in the two trapezoids are congruent. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government.The Declaration of Independence,Thomas JeffersonBased on the passage, what is the purpose of the Declaration of Independence?to provide a set of rules and regulations for the United Statesto justify the American colonists desire for freedom from British ruleto establish new settlements and colonies in Americato encourage England to become a democracyIT'S B I JUST DID IT!!!! which statement BEST completes the diagram: colonists bring diseases like smallpox in North America, Colonists believe land can be owned by individual people, American Indian peoples suffer greatly.A- colonists refuse to teach American Indians how to farmB-colonists become the leaders of american indian religious groupsC- colonists introduce steel weapons and guns to american indiansD- colonists force american indians into slavery on plantations HELP ME PLSSS SUMMER SCHOOL A HARD Can you help with this