A department store manager noted that the sales of furniture contributed 20% of the store's profits in the year 2015 and 29% in the year 2016.
Of the following choices, which two statements about furniture sales are true?
a.) There was a 45% increase in furniture sales.
b.) Furniture sales rose by 45 percentage points.
c.) There was a 31% increase in furniture sales.
d.) There was a 9% increase in furniture sales.
e.) Furniture sales rose by 31 percentage points.
f.) Furniture sales rose by 9 percentage points.

Answers

Answer 1

Answer:

There was a 45% increase in furniture sales.

Furniture sales rose by 9 percentage points.

Step-by-step explanation:

absolute difference = new - old

29-20= 9 percentage points

absolute difference / initial value = 9/20 = .45 * 100 = 45%

Answer 2

Two statements which are true about furniture sales are  [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and  [tex](f)[/tex]  Furniture sales rose by [tex]9[/tex] percentage points.

What is percentage ?

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage [tex]=\frac{Obtained\ number}{Total\ number}\ * 100[/tex]

We have,

Sales of furniture in [tex]2015=20\%[/tex]

Sales of furniture in [tex]2016=29\%[/tex],

So,

Change in Percentage [tex]=29-20=9\%[/tex]

i.e.

Sales rise by [tex]9\%[/tex] points,

And,

Increase in Percentage [tex]=\frac{9}{20}\ *100=45\%[/tex]

Hence, we can say that Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.

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Related Questions

if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value

Answers

Answer = mean, the mean is an average of the data. On the other hand, the median accounts for the middle value of sets of numbers. It would make more sense if you would report the average of salaries for different occupations.

In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?​

Answers

Answer:

90.5 hours or 90 hours and 30 minutes

Step-by-step explanation:

100-9.5=90.5

Simply the following ratio 1000:540:780

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This is my workings

create a set of coordinates to model a relation that is linear function.

Answers

A  set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

What is a linear relation?

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

The points on a line always form a linear relation.

Therefore, consider the line y = x.

The set of coordinates on y = x is as follows:
(0,0), (1,1), (2,2), (3,3), (4,4)... and so on.

Hence, a set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

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Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.

Answers

Answer:

jk

Step-by-step explanation:

determine the value of a in the figure shown

Answers

Answer:

d

Step-by-step explanation:

180-149= 31.

31+ 122= 153

180-153= 27

a= 27

Use logarithmic differentiation to differentiate the question below
[tex]y = x \sqrt[3]{1 + {x}^{2} } [/tex]

Answers

Answer:

[tex] \orange{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]

Step-by-step explanation:

[tex]y = x \sqrt[3]{1 + {x}^{2} } \\ assuming \: log \: both \: sides \\log y = log(x \sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + log(\sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + \frac{1}{3} log({1 + {x}^{2} } ) \\ differentiating \: both \: sides \: w.r.t.x \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{1}{3} . \frac{1}{(1 + {x}^{2}) } (0 + 2x) \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{2x}{3(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3(1 + {x}^{2}) + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 3{x}^{2} + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 5{x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{dy}{dx} =\frac{y(3 + 5{x}^{2} )}{3x(1 + {x}^{2}) } \\ \\ \frac{dy}{dx} =\frac{x \sqrt[3]{1 + {x}^{2} } (3 + 5{x}^{2} )}{3x(1 + {x}^{2}) }\\ \\ \frac{dy}{dx} =\frac{(3 + 5{x}^{2} )\sqrt[3]{1 + {x}^{2} } }{3(1 + {x}^{2}) }\\ \\ \purple{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]

I don’t know the answer help! ?

Answers

Answer:

m∠8=120°

Step-by-step explanation:

Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.

it would also b 120 :)

Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?

Answers

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

what's the easiest way to answer how I know the answer pls?​

Answers

Answer: Table C

Explanation: The X values match up with those on the graph!

The nth term of a sequence is 5n.
Work out the 10th term of this sequence.

Answers

Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50

Which drink has more sugar per fluid ounce? 50 POINTS

Answers

it would be drink a.

what is the most $ that you can get out of a ATM?

Answers

Answer:

$200

Step-by-step explanation:

Answer:

I think it is 200$

Step-by-step explanation:

Help me please I don't have much time

Answers

I want to say C and D, but i'm not completely sure.

help please! no links :)

Answers

Answer:

The answer is D-27.00 because you are rounding off to the nearest 100 I hope this helps you

Answer:

C. 26.75

Step-by-step explanation:

26.745 is rounded to 26.75

When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is:________

Answers

Answer:

zero

Step-by-step explanation:

The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.

The regression line is expressed as:

[tex]Y_i = a +bx_i[/tex]

where;

[tex]Y_i[/tex] = dependent variable

a = intercept

b = slope

[tex]x_i[/tex] = independent variable

So, when [tex]Y_i[/tex] is independent of the variation of [tex]x_i[/tex], it means that [tex]Y_i[/tex] does not linearly depend on [tex]x_i[/tex] . Thus, the slope of the regression will be zero.

it took thandile 30minutes to fly the distance of 192,4kilometers between pilanesburg nationalpark an johannesburg.calculate the average speed of the aircraft in kilometres per hour

Answers

Answer:

Average speed = 3848 km / h

Step-by-step explanation:

Given:

It took Thandile 30 minutes to fly the distance of 1924 km between Pilanesburg National Park and Johannesburg.

To find:

Calculate the average speed.

Solution:

Average speed = distance / time

30 min = 0.5 h => 1924 / 0.5

= 3848 km / hours

Answer:

Average speed = 3848 km / h

hope this helps.....

Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.

Answers

Answer:

Mean: 44

Step-by-step explanation:

1. 24 + 36 + 52 + 48 + 64 + 40 = 264

2. 264 divided by 6 = 44

(I divided it by 6 because there are 6 numbers (data points).)

HELP PLSS I WILL GIVE BRAINLYEST
I SUCK AT MATH

Answers

Answer:

W=11

Step-by-step explanation:

Just trust me with this one :3

Find the value of x and the value of y.​

Answers

Answer:

[tex]x=7,\\y=4\sqrt{2}[/tex]

Step-by-step explanation:

Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.

The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:

[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]

The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:

[tex]x=4+3=\boxed{7}[/tex]

PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).

Answers

Using the distance formula I got 13 I’m sorry if it’s wrong bestie
i think -8.6 is the answer for this

When a number is decreased by 40% of itself the result is 96. What is the number?

Answers

Answer:

160

Step-by-step explanation:

96 / (100%-40%) = 96/ (60%)

= 96/0.6 = 160

Q) 96/(100% - 40%)

→ 96/ 60%

→ 96/ 0.6

→ 160 is the number.

PLEASE HELP ME FAST I WILL GIVE BRAINLYEST

Answers

7.)

cbrt(1200)

10.63

8.)

sqrt(112)

10.58

Answer:

1.) because 10^3=1000 and 11^3 = around 1330  we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)

2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)

Step-by-step explanation:

What's 1/24 + 4/8 simplified? ​

Answers

Answer:

13/24

Step-by-step explanation:

1/24 + 4/8

first make denominator equal

1/24 + 4*3/8*3

1/24 + 12/24 = 13/24

then check if it can be further simplified

13/24

It cannot so you're done!

Hope this helps!

Answer:

13/24

Step-by-step explanation:

reduce the frcation with 4

1/24 + 1/2

write all numerators above the least common denominator 24

1+12/24

Calcuate 1+12/ 24

which = 13/24

please answer both thank ​

Answers

Answer:

the second one for #4 and the third one for #5

Step-by-step explanation:

4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or

y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).

5.

Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.

Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.

If apple pie is "a" and lemon is "l":

6a + 4l = 80

6a + 5l = 94,

so C is the answer

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant​ sell?

Answers

Answer:

50

Step-by-step explanation:

From the circle graph :

Salad sold :

Caesar = 70%

Garden = 16%

Taco = 14%

If 35 of the salad sold were Caesar ;

Then ; this means

70% = 35

Total salad sold %= (70+16+14)% = 100%

Let total sales = x

70% = 35

100% = x

Cross multiply :

70% * x = 100% * 35

0.7x = 35

x = 35 / 0.7

x = 50

Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation

Answers

Answer:

There are two major methods of forecasting

One is the Causal method and the 2nd one is the times series method

Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.

Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.  

Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation

The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___

Answers

Answer:

perimeter of the rectangular ground floor

=2(length+width)

length=X+200

width=X

=2(X+200+X)

=4x+400

4x+400 =780

4x =780-400

4x =380

x =95

width=95 feet

length=95+200

=295 feet

Question 7
Find the volume.

Answers

Answer:

A: 686π≈2,156

Step-by-step explanation:

First, you need to find the area of the circle then times that by 14.

π[tex]r^{2}[/tex]         Formula for the area of a circle

π[tex]7^{2}[/tex]          r stands for radius, so you divide the diameter by 2 and get 7.

π49        This is the area of the circle

π49×14    Now multiply by 14

=686π      This is your answer.

=2155.13256     When you times it by pi this is what you get

=2156               This is your answer if you want it rounded up

a + b = 300 pls help i cant find out the answer

Answers

Answer:

a= 250

b= 50

250 + 50 = 300

Step-by-step explanation:

There's many solutions but this was the first one I could come up with.

Answer:

my opinion is seince a+b=300 then the sqaure of 300= 17.3?

Step-by-step explanation:

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