Karen saw a laptop for sale in 2004.
In March 2005, the price of this laptop was reduced 20%.
In June 2005, the price of this laptop was reduced by one sixth of the March 2005 price.

Compared with the 2004 price, what percentage discount would Karen obtain by buying this laptop in June 2005?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let X be the initial price in March 2004.  

Let X'  be the price for March 2005.

Let X" be the price for June 2005.

March 2005:  The price was reduced by 20%.  Thus, X' = 0.8X

June 2005:  The price was reduced by 1/6 of the March 2005 price:  Thus,

    X" = X' - (1/6)X'

Substituting, we have X" = (0.8X) - (1/6)(0.8X)

X" = (0.8X) - (1/6)(0.8X)

X" = (0.8X) - (0.1333X)

X" = 0.6667X

The June 2005 price is 0.6667 of the 2004 price.  That's a (1-0.6667) or 33.33% reduction.


Related Questions

Jimmy is interested in purchasing some yellow and red flowers for his mother's birthday. He visits a local floral shop and gift shop. Both businesses have a variety of flowers from which he can choose. Which answer best describes the sample and population

Answers

Answer:

ll available yellow and red flowers at the two businesses

Population: all available flowers at the two businesses

Step-by-step explanation:

The sample and population should be sample represents all yellow and red flowers while the population represents all flowers.

What are the sample and population?

The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.

An entire group from which a conclusion should be derived is referred to as a population. The sample, on the other hand, refers to the population from which the data is drawn.

So based on this, we can say that the sample represents all yellow and red flowers while the population represents all flowers.

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Sales tax rate is 8% if Ayana buys a set of spoons price that 17.88 what will be the total cost including tax

Answers

Answer:19.31Step-by-step explanation:17.88 x 1.08 = 19.3104 round it down to 2 decimal places to get 19.318% = 0.08

Extra:

Percentage =  1% = 0.01, 10% = 0.1 and 100% = 1

Increase in percentage = 1 + percentage eg. (1  + 0.08 = 1.08)

Decrease in percentage = 1 - percentage eg. (1 - 0.08

Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.

Answers

Yeah Thanks I love to see that and the answer A

Does the point (5, -1) lie on the line 2y + 3x = 13?​

Answers

Answer: Yes

Step-by-step explanation:

You can find out by inputting your values

2y + 3x = 13

x = 5

y = - 1

2(- 1) + 3(5) = 13

- 2 + 15 = 13

13 = 13

A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.

How many seconds, s, will it take for the balloon to drop to below 215 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.

Answers

Answer:

[tex]<174\frac{4}{9}[/tex] hopes this helps :D

Step-by-step explanation:

The solution is s > 174 4/9

The inequality equation is s > 174 4/9 and it will take 174 4/9 seconds for the hot air balloon to reach below 215 feet

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

Let the total altitude of the hot air balloon be = 1000 feet

Now , the hot air to reach below 215 feet , the hot air balloon should descend a total of = 1000 - 215 feet

So , the value of hot air balloon should descend = 785 feet

And ,

The rate at which the hot air balloon descends = 4 1/2 feet per seconds

So , the number of seconds s for the hot air balloon to reach an altitude more than 785 feet is given by the inequality equation A

where ( 4 1/2 ) x s > 785

On simplifying the equation , we get

( 4 1/2 )s > 785

( 9/2 ) s > 785

Multiply by 2 on both sides of the equation , we get

9s > 1570

Divide by 9 on both sides of the equation , we get

s > 174 4/9

Therefore , the value of A is s > 174 4/9

Hence ,

The inequality equation is s > 174 4/9 where s is the number of seconds

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It costs $3 to bowl a game ad $2 for a shoe rental.

Answers

okay whats the question..

Answer:

Whats the question

Step-by-step explanation:

Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

a = 4

b = ?

c = 8

8^2 = 4^2 + b^2

64 = 16 + b^2

48 = b^2

b = sqrt(48)

b = 4√3

10

3
x
=

2
(
x
+
4
)

Answers

Answer:

x = 18

Step-by-step explanation:

10  − 3x = − 2 (x + 4)

=> 10  − 3x = -2x - 8

=> x = 18

Hoped this helped.

Answer:

x = 18

Step-by-step explanation:

10 - 3x= -2(x+4)

First, we solve inside the parentheses.

10 - 3x= -2x - 8

Like terms:

-3x + 2x= -10 - 8

-x/-1 = -18/-1

x = 18

The width of a rectangle is 3 inches less than its length. The perimeter is equal to 94 inches, what is the length in inches?

Answers

Answer:

l=44in

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=94

2﹣3=44in

You and your classmate went to get lunch and your total bill (before taxes) was $48.50. You liked the food and want to leave a tip of $20%. What is the tip?

Answers

Answer:

9 dollars 70 cents

Step-by-step explanation:

20% of 48.50

Someone pls pls pls help ASAP
I’ll give brainliest I promise just pls help me

Answers

Answer:

Answer attached below.

please this is half my grade!!!
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work
2. What is the length of side YZ to the nearest tenth? Show your work.
side XY is 11 feet, and angle Z is 35 degrees(this is a right triangle)



3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Side AC is 14 feet, this is a right triangle, and angle A is 30 degrees

Answers

The special right triangle is the right triangle that have acute angle values

that simplify the process of finding its dimensions.

The correct values are;

1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

Reasons:

1. The length of the ladder = 15 ft.

Height of the ladder above the ground, h = 13.8 ft.

Required:

The angle the ladder makes with the ground.

Solution:

The angle the ladder makes with the ground is given by the equation;

[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]

[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]

2. The given parameters are;

XY = 11

∠Z = 35°

YZ = Required

In a right triangle, the side facing the acute angle is a leg of the triangle.

Therefore;

XY is the opposite side to ∠Z

[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]

Which gives;

[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]

[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]

YZ ≈ 19.18 ft.

3. AC = 14 ft.

∠A = 30

Required:

The length of the other two sides

Solution:

Where by AC is the hypotenuse side, we have;

CB = AC × sin(∠A)

Therefore;

CB = 14 × sin(30°) = 7

CB = 7 ft.

AB =  AC × cos(∠A) = 14 × cos(30°) = 7·√3

Learn more here:

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1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

How to get p value from t.

Answers

Answer:

For a lower-tailed test, the p-value is equal to this probability; p-value = cdf(ts).For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1 - cdf(ts)

Randall purchased a flat screen tv for $1089.the tax rate was 8.75%

Answers

Answer:

9528.75

Step-by-step explanation:

1089x8.75, or 1089x8 and 3/4 which is 9528.75

How to do matrix multiplication.

Answers

Answer:

A Matrix is an array of numbers:

2x3 Matrix

A Matrix

(This one has 2 Rows and 3 Columns)

To multiply a matrix by a single number is easy:

Matrix Multiply Constant

These are the calculations:

2×4=8 2×0=0

2×1=2 2×-9=-18

We call the number ("2" in this case) a scalar, so this is called "scalar multiplication".

Write the inequality for the situation. Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred

Answers

Answer:

7 > F

Step-by-step explanation:

Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred

7. Fred has fewer dollars than Penny. Left F=Fred

7 > Left F=Fred

7 > F

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Please help me solve this problem asap!

Answers

Dilation and rotation.

Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.​

Answers

Answer:

142cm

Step-by-step explanation:

give me brainlylee plz

The area of the circle semicircle will be 13288.28 square centimeters.

What is the area of a circle?

Suppose the circle has a radius of 'r' units, then, its area is given as:

A = πr² square unit

The radius of the semicircle is 92 cm.

The area of the semicircle is half of the area of the circle.

Then the area of the circle semicircle will be

A = π x 92² / 2

A = π x 8464/ 2

A = 4232 x 3.14

A = 13288.48 square cm

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Apple pie is my favorite. I bake a lot of it because i never got my fair share as a kid. Last year I got a little carried away and had 7 1/4 pies left over. I cut the pie into pieces to freeze and save for later. Each piece as 1/8 of a whole pie. How many pieces of pie did I freeze?

Answers

Answer:

58

Step-by-step explanation:

You would have to turn 7 1/4 into a whole fraction.

Do,

7 * 4 = 28

28 + 1 = 29

Your new fraction would be,

29/4

Now you have to make them equal denominators with 1/8.

Lets see,

Now multiply 4 * 2 is 8.

So multiply 29 times 2.

Which is 58.

Your new fraction is,

58/8

So therefore you would have 58 pieces.

find the amount if £1,500 is saved for 3and1/2 years at 10percent per annum​

Answers

Answer:

To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. ...

Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.

Step-by-step explanation:

Can somebody please help me?!! I will give BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

Mark the two points (-1,7) and (1,-1) on the graph.  Then draw a straight line between them.  To determine the equation that goes through these two points, we can use the two given points to find the slope of the line.  The standard form of a straight line equation is

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x = 0).

Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x.  We can use the two points to calculate this:

       Rise (-1-(7) = -8   Run = (1 - (-1) = 2

The slope is therefore (-8/2) or -4.  

y = -4x + b

We can find b by entering either of the two points in y = -4x + b and solve for b.  I'll use (1,-1) since I have my 1's multiplication table memorized

y = -4x + b

-1 = -4(1) + b

b = 3

The straight line equation that connects the two points is

  y = -4x + 3

You can graph this equation (e.g., on DESMOS) to see how it intersects the points.  [Attached]

The coordinates of the y intercept are (0,3).

The coordinate of the y-intercept of the line is (0, 3)

Equation of a line

The equation of a line in slope-intercept form is expressed as y = mx + b.

where:

m is the slope the lineb is the y-intercept

Given the coordinate points (-1, 7) and (1, -1).

Get the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]

Get the y-intercept:

Recall that y = mx + b

Using the coordinate point (1, -1) and m = -4

-1 = -4(1) + b

-1 = -4 + b

b = -1 + 4

b = 3

The equation of the line is y = -4x + 3

Get the y-intercept:

The y-intercept occurs at the point where x = 0

y = -4(0) + 3

y = 0 + 3

y = 3

Hence the coordinate of the y-intercept of the line is (0, 3)

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6x + 19y = –10 in slope intercept form

Answers

6x+19y=-10 in slope- intercept form is y=-6/19x-10/19

Answer:

y = (-6/19)x - 10/19

Step-by-step explanation:

Solving 6x + 19y = –10 for y, we get 19y = -6x - 10, or y = (-6/19)x - 10/19.

This is in slope-intercept form.

Viable what is the definition

Answers

Answer:

capable of working successfully; feasible.

or

Step-by-step explanation:

(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.

Explain what the point (6,2) represents.

Answers

Answer:  6 is the 1st term, 2 is the common ratio

Step-by-step explanation: T = 6(2d-1)

I need help finding surface area

Answers

Answer:

[tex]603.2km^{2}[/tex]

Step-by-step explanation:

Surface area I need help

Answers

Answer:

100 + 100 + 40 + 40 + 40 + 40 = 360 yd^3

i am very confused amd i also hate math so please help

Answers

Answer:

The answer that you put is right

Hey can some one help me on this one please

Answers

Answer:

The first and third are functions.

Step-by-step explanation:

Functions must have only one y-value for an x-value.

Please tell me what the Point Slope Slope Intercept Standard is for these graphs

Answers

Answer:

1st graph:

Slope-intercept is y = -7/2x + 3

Point Slope is y + 4 = -7/2(x - 2)

Standard is 7x + 2y = 6

2nd graph:

Slope-intercept is y = 1/2x - 4

Point Slope is y + 2 = 1/2(x - 4)

Standard is x - 2y = 8

3rd graph:

Slope-intercept is y = 3x - 3

Point Slope is y - 3 = 3(x - 2)

Standard is 3x - y = 3

4th graph:

Slope-intercept is y = -2/7x - 4

Point Slope is y + 2 = -2/7(x + 7)

Standard is 2x + 7y = - 28

Step-by-step explanation:

Point Slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

Slope-intercept formula⤵⤵⤵:

[tex]y = mx + b[/tex]

Standard formula⤵⤵⤵:

[tex]Ax + By = C[/tex]

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)

Is it possible to have a triangle with the following sides?
a) 9 cm, 40 cm , 41 cm b) 5.4 cm, 3 cm, 2 cm

Answers

Answer:

In My Opinion, A

Step-by-step explanation:

the measurements are obeying the rule of Pythagorean triplet.

Hence,

This rule also satisfies Pythagorean theorem.

So therefore,

The triangle is a right angled triangle.

I hope this helps

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