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

Which expression simplifies to 5√3?

Answers

Answer:

C.

[tex] \sqrt{75} [/tex]

Step-by-step explanation:

You can just enter it in the calculator to see which is equal to

[tex]5 \sqrt{3} [/tex]

dividing 0.68÷0.6936

Answers

The correct answer is 0.9803

Answer:

0.9804

Step-by-step explanation:

0.68 ÷ 0.6936 = 0.98039215686275

pls give ans for the following image

Answers

Answer:

7 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The reciprocal of 8 is [tex]\frac{1}{8}[/tex]

The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex]  = 7

sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]

Tom finished 2/4 , of his math homework on the school bus. What percent did he finish on the
bus?

Answers

Answer:

50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

2/4 = 1/2

1/2 = 0.5

0.5 = 50%

(Could explain slightly more but this should get the point across!)

( DISCUSSION TOPIC )

NEED WITHIN 10 MINUTES!!!!


Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.

The prefix ir- means not.

What do you think it means for a number to be irrational?

Can you think of any numbers that are irrational?​

Answers

Answer:

A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.

An example of an irration number is the square root of 10, or pie because it is a infinited number

I hope this helps!

Answer:

the irrational is kind of a part

of the math that includes rational and

irrational numbers

A student is making a model of the famous Giza pyramid,
which has four triangular sides and a square base. The
scale of the model is 1:1,000.
How many sides should the model pyramid have?
A. 6
B. 4.
C. 3
D. 12

Answers

Answer:

Choose the option D

I think it’s B. The original model has 4 sides and it wouldn’t make sense to increase the number of sides for its replica. It would still have 4 sides but in a smaller scale.

in spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had worked in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.61 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 1.40 and the sample standard deviation was 2.65. what is the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen?

Answers

Step-by-step explanation:

Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=

June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?

Answers

Answer:

rachel is 10

Step-by-step explanation:

45/3=15

15-5=10

Answer : 10

Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10


Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.

Answers

Dante is incorrect because point P is not the circumcenter of the triangle.

What is the circumcenter of a triangle?

The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.

How to identify a circumcenter?

There are some simple characteristics to determine if a circumcenter is correct.

All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.

Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.

Learn more about triangle in: https://brainly.com/question/25813512

Seven less than one-third a number is greater than six more than one-fourth the
number.

Answers

Answer:

 

The number is 60

Step-by-step explanation:

the question next to the graph!

Answers

Answer:

Yes there is a proportionality between the amount of money she arns and the hours she works. For every 2 hours she works she earns 30 dollars. Which means she makes 15 dollars an hour.

Step-by-step explanation:

The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.57. What is the probability that it will rain on at least four of the
seven days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

  0.650

Step-by-step explanation:

The probability of rain on 4 or more days is the sum of the probabilities of rain on 4, 5, 6, and 7 of the days.

The probability of rain on 4 days is ...

  7C4×(0.57)^4×(1 -0.57)^(7-4) ≈ 0.29375

On 5 days, it is ...

  7C5×(0.57^5)(0.43^2) ≈ 0.23363

On 6 days, it is ...

  7C6×(0.57^6)(0.43^1) ≈ 0.10323

And on all 7 days, it is ...

  0.57^7 ≈ 0.01955

The sum of these probabilities is ...

  P(≥4) = 0.29375 +0.23363 +0.10323 +0.01955 = 0.65016

The probability of rain on 4 or more days is about 0.650.

for each of the solutions of the equations find two consecutive integers between which the solution is located.

x²=3

Answers

Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.

The equation given is:

[tex]x^2 = 3[/tex]

The solution of the equation given is:

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

The squares of the integers numbers until the square root of 3 are:

[tex]1^2 = 1[/tex]

[tex]2^2 = 4[/tex]

Since [tex]1 < 3 < 4[/tex], the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.

A similar problem is given at https://brainly.com/question/3729492

el desempeño 29 porfaaa

Answers

Step-by-step explanation:

1 more time solve and answer is ready

One match releases approximately 1,100 joules of heat energy when it is lit. If 1 joule equals 0.239 calories , how many of these matches must be lit to produce 2, 100cg calories of heat energy ?

Answers

8 of the matches has to be lit, in order to produce 2100 calories of heat energy

If 1 match releases 1100 joules of heat energy and we know that 1 joule = 0.239 calories. This means that 1 match releases 1100 * 0.239 calories

1 match releases 262.9 calories.

Again, if 1 match produces 262.9 calories, then

1 match = 262.9 calories

x match = 2100 calories

if we cross multiply, we have

1 match * 2100 calories = x match * 262.9 calories

x match = 2100/262.9

x match = 7.987 matches

Therefore, approximately 8 matches are needed

Visit here to learn more about conversion between units https://brainly.com/question/19420601

What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.

Answers

Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

The mean is of 7 inches.The standard deviation is of 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145



Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?

Answers

Answer:

  $750

Step-by-step explanation:

If p represents the original cost, the relationship expressed in the problem statement is ...

  60 = 0.08p

Dividing by 0.08, we find ...

  p = 60/0.08 = 750

The original cost of the premium was $750.

If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours

Answers

Answer:

Two pieces of furniture.

Step-by-step explanation:

3 hours times 1 piece of furniture every 3/4 hours:

3 · [tex]\frac{3}{4}[/tex] = [tex]\frac{3*3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25

Assuming that pieces of furniture cannot be sold in parts, 2 whole pieces of furniture will be sold in 3 hours.

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

3(4-k)=-3(1-k)-k solve for k

Answers

k = -9.
Explanation:
Distribute the first part — 12 - 3k
Distribute the second part — 3 - 3k - k
Add 3k to both sides
12 = 3 - k
Add k to both sides (k + 12 = 3)
Subtract 12 from both sides
k = -9

Please help! Also dont send any links; it doesn't work for me

Answers

Answer:

Step-by-step explanation:

-1 to 0 is divided in four parts.

similarly 0 to 1 is divided in four parts

so each fraction on either side is 1/4 onthe right of 0 and -1/4 on the left of 0.

A is 2 parts on the right of 0,A=2×1/4=1/2=0.5

Bis 1 part left of 0,B=1×(-1/5)=-1/5=-0.2

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?

Answers

Answer:

Step-by-step explanation:

Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice

So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water

⇒ For 100 quarts sparkling grape juice we require  * 100 quarts of sparkling water

⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts

HELPPPPPP ASAPP PLSssss

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Solving inequalities
-4(x - 7) + 8 _> 2x

Answers

Answer:

Its 2

Step-by-step explanation:

Cause if you use addition-subtraction property and the division property to solve an equation. Example 3 Solve 4 x + 7 = x - 2.

Please don't answer if you don't know, please!!
It's about integrals. I know the answer but I'm not sure of the working.

Answers

Answer:

Refer to the attachment

A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Givens

m = 1/4

y2 = 4

y1 = 1

x2 = 2

x1 = x

m = (y2 - y1) / (x2 - x1)

Solution

1/4 = (4 - 1) / (2- x)                Simplify

1/4 = 3 / (2 - x)                      Cross multiply

2- x =12                               Subtract 1 from both sides

-x = 12 - 2

-x = 10                                 Multiply by -1

x = -10

Check

1/4 = (4 - 1) / (2 - - 10)

1/4 = 3/(2 + 10)

1/4 = 3 / 12

1/4 = 1/4

Odd as the answer is, it does check.

write 0.0000006234 in scientific notation

Answers

Answer:

6.234 × 10-7

Step-by-step explanation:

Answer:

6.234 x 10^-7

Step-by-step explanation:

When writing the number in standard form you have to look at the decimal point. If you already have a decimal point (like the question) then look for the first non-zero digit (in terms of the question, its 6). You have to move the decimal point to right until its after the first non-zero digit. Count how many spaces you moved, in this case its 7. If you are moving to the left you have to put a negative sign when writing the power of 10.

Hope this helps!!

Someone plz help me :(

Answers

Answer:

yes its B................

B is the answer.

4 to the 3 power
4x4x4

Give me some tips for the Shsat that is tomorrow.

Answers

Answer:

1. Sleep well

2. Eat a proper meal to increase your energy

3. Do the ones you are good at first. Skip the harder questions

4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.

5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.

6. Have faith in yourself. :)

Step-by-step explanation:

The second rate superhero and is Arch Enemy Melvin the minor menace started 700 miles apart and fleet street toward each other in their jet propulsion packs it took 5 hours for the two to meet if the superheroes speed was 10 mph slower than a minute what was the menaces speed

Answers

Answer:75 mph

Step-by-step explanation:

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