Given that T=KX/Y,find the percentage increase in T when k, xandy all increase by 20%​

Answers

Answer 1

Answer:

The percentage increase in [tex]T[/tex] is 20 %.

Step-by-step explanation:

Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:

Initial value

[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)

Final value

[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]

[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)

(1) in (2):

[tex]T_{ii} = 1.2\cdot T_{i}[/tex]

And the percentage increase in T is:

[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)

[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]

[tex]\%T = 20\,\%[/tex]

The percentage increase in [tex]T[/tex] is 20 %.

Answer 2

Answer:

Step-by-step explanation:

Lets subsitute k, x and y as  100 to make it easier for us

So k = 100, x = 100, y = 100

Step 1 :-   T = kx/y

- T = 100 * 100 / 100 = 100

Step 2 :- Increase by 20% = 100 * 20% = 20,    100 + 20 = 120

Step 3 :- Percentage Increase = Increased value OVER original calue          MULTIPLIED by 100%

SO = ( 120 - 100 ) ,,,,   20/100 * 100% = 0.2* 100 = 20%


Related Questions

Yana needs at least $31.50 for art supplies. He earns $3.50 per day as a dog walker. Which graph represents the number of days Yana must work to earn enough money to buy the art supplies? A. 84456 B. 84455 C. 84454 D. 84453

Answers

Answer:

9 days

Step-by-step explanation:

31.50÷3.50 is 9 and 9×3.50 is 31.50

2 trifles cost 9 pound
How much will 6 trifles cost?

Answers

2 = 9

9 ÷ 2 = 4.5

4.5 x 6 = 27

It will cost 27 pounds.

Hope this helps; have a great day!

23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.

HELP!

Answers

Answer:

the IQR is 71

Step-by-step explanation:

the Xl is 99 and the Xu is 170. Xu-Xl=71

Is sin( - 7) positive or negative? (Why?)

Answers

-.66 this is because when you put it into a scientific calculator sin then -7 and round up you get -.66

what is 1/2 X (6 X 4)+3 + 2

Answers

Answer: 17

Step-by-step explanation:

Answer:

your answer is 17

Step-by-step explanation:

pls give brainliest!

Have a great day!

. Mr. View is 8 years older than Ms. Sun. In 7 years, the sum of their ages will be 110. How old are they now?​

Answers

Mr. View is now 63, while Ms. Sun is now 47. You’d have to divide 110 in half, this would give you 55. Then subtract 8 from 55, to give you Ms. Suns’ age. To find out Mr. Views age, you then subtract 47 from 110, and you’d then get 63.

This is number three Nd I neeed help with this I can help you with anything

Answers

Answer:

a. False

b. False

c. True

d. True

e. True

Find the area of the shape shown below.

Answers

Answer: 4, 800

Step-by-step explanation:

answer pls ty ill give brainliest

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2.5 im not sure Thanks

Step-by-step explanation:

Im not sure

pls help i have 5 minutes til it’s due

Answers

Answer:

x=115

Step-by-step explanation:

Straight angle = 180 degrees...

65 is accounted for so...

180-65=115

115 degrees is your final answer :)

Answer:

115

Step-by-step explanation:

x° = 180° - 65°

(Linear pair angles)

x° = 115°

x = 115

When the sum of a number and 14 is
divided by 3, the result is 4.

Answers

Answer:

it is 4.6 sorry girl

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.6=4 3/5=23/5

A sample with a mean of M = 8 has EX = 56. How many scores are in the sample?
The number of scores is n =

Answers

Answer:

[tex]n = 7[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 8[/tex] --- the mean

[tex]\sum x = 56[/tex] --- sum of scores

Required

The number of scores (n)

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Make n the subject

[tex]n = \frac{\sum x}{\bar x}[/tex]

[tex]n = \frac{56}{8}[/tex]

[tex]n = 7[/tex]

Which shoe size is the mode?

Answers

Answer:

6

Step-by-step explanation:

Please help grades close today

Answers

Answer:

Step-by-step explanation:

17. 1 foot=12 inches

So subtract 12 from 28

28-12

=16

Lena's puppy will grow 16 inches more.

18. The kittens can be

3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)

There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)

Hopefully this helps!!!

☁️ Answer ☁️

17. The puppy will grow 16 inches

One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.

18. 24.5

the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces

1. The circumference of a circle is 16p centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.

Answers

Answer: Diameter: 8

              Area:  201.1

             

Step-by-step explanation:

Diameter: Use the formula for the area of a circle:

Use the formula for the area of a circle:

A=πr2

Here, the area is 16π:

16π=πr^2

Divide both sides by  π:

16=r^2

Take the square root of both sides:  √16=√r^2

4=r

Since the radius of the circle is 4, the diameter is twice that:

d=4×2=8

Area:

Formula:

A = π r^2

A= Area R= Radius

Add Radius

A= π 8^2

Solve:

Simplify  π⋅8^2

Exact Form:

A=64π

Decimal Form:

A=201.06192982

giving brainliest!!!

Answers

Answer:

133 square centimeters

Step-by-step explanation:

Answer:

Surface A≈146.25 square centimeters

Step-by-step explanation:

What is the difference of (5 + 3i) and (2 + 9i)?
A. 7 + 12i
B. 3 + 6i
C. 3 − 6i
D. 7 + 6i

Answers

The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.

What is the difference of the two complex numbers (5 + 3i) and (2 + 9i)?

It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.

Since the numbers given are; (5 + 3i) and (2 + 9i).

The difference can be mathematically as follows;

( 5 + 3i ) - ( 2 + 9i )

By the Distributive property; we have;

5 + 3i - 2 - 9i

Collect like terms so that we have;

= 5 - 2 + 3i - 9i

= 3 - 6i

On this note, the difference between the two complex numbers is; 3 - 6i.

Read more on subtraction of complex numbers;

https://brainly.com/question/22877806

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Can someone help please

Answers

i believe it would be d. equilateral. becuz a equilateral triangle is a triangle with 3 equal sides, and 3 equal angles.

3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in leadership positions while a student. She discovered that it has taken an average of 4.97 years for these student leader graduates to finish their degrees, with a standard deviation of 1.23. The average for the entire student body is 4.56 years. Is the difference between student leaders and the entire student population statistically significant at the alpha

Answers

Answer:

not statistically significant at ∝ = 0.05

Step-by-step explanation:

Sample size( n )  = 61

Average for student leader graduates to finish degree ( x') = 4.97 years

std = 1.23

Average for student body = 4.56 years

Determine if the difference between the student leaders and the entire student population is statistically significant at alpha

H0( null hypothesis ) : u = 4.56

Ha : u ≠ 4.56

using test statistic

test statistic ; t = ( x' - u ) / std√ n

                        = ( 4.97 - 4.56 ) / 1.23 √ 61

                        = 2.60

let ∝ = 0.05 , critical value = -2.60 + 2.60

Hence we wont fail to accept  H0

This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05

7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.

Answers

The answer would be 36

Which parametric equations represent y = x + 2? Check all that apply.

Answers

Answer:

The correct choices are the first, second, and fifth options.

Step-by-step explanation:

Edge 2021

Answer:

a,b and e

Step-by-step explanation:

on edg 2021

Which of the following is not true about the boundary line in the graph of a linear inequality in two​ variables?

Answers

Answer:

The correct answer is D

Step-by-step explanation:

Boundary points are NOT always solutions

The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality

What does boundary line in graph of a linear inequality in two variable represent ?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

According to the question

Boundary line in graph of a linear inequality in two variable represents :The boundary line is dashed or strict for > and < The boundary line is solid or non strict  for ≤ and ≥. boundary line divides the coordinate plane into two halves boundary line where one half represents the solutions of the inequality

Hence, The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality.

To know more about boundary line in graph of a linear inequality in two variable represent here:

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Use any strategy to solve 3,600 divided by 9. Upload your work.

Answers

Answer:

400

Step-by-step explanation:

3600/9=400

36/9=4

add the zeros back in after

Answer:

400

Step-by-step explanation:

I hope this helps you

If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.

Answers

Answer:

A. 12

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:

LJ = 2(LW)

11x + 2 = 2(5x + 2)

11x + 2 = 10x + 4

11x + 2 - 2 = 10x + 4 - 2

11x = 10x + 2

11x - 10x = 10x + 2 - 10x

x = 2

✅LW = 5x + 2

Plug in the value of x

LW = 5(2) + 2

LW = 10 + 2 = 12

7) In Emily's bead collection, 1/2 of her beads are red and 1/4 of her beads
are green. What fraction of her beads are NOT red?

Answers

1/2 of her beads
hope this helps!!

I NEED HELP FAST! Which of the following sets of numbers could not represent the three sides of a triangle?

Answers

Answer:

15 27 44

Step-by-step explanation the two smaller numbers combined has to be bigger than the other number.

18)
Find the area of a regular pentagon with an apothem of 2.75 cm and a side length of 4 cm, (round to the nearest whole number)
A)
14 cm
B)
28 cm
C)
56 cm
D)
112 cm?

Answers

Answer:

B) 28 cm^2

Step-by-step explanation:

First, find the perimeter 5*4=20

A= ½ 2.75(20) = 27.5

(round to the nearest whole number)

Got it right on the test

Find Sin L=
Will mark as brainliest

Answers

Answer:

[tex]\Huge\boxed{\frac{3}{5}}[/tex]

Step-by-step explanation:

The trigonometric ratio for sine is

sin = opposite over hypotenuse

the opposite side length of L is 6 and the hypotenuse is 10

so sin L = 6 over 10

then we simplify

6/2 = 3

10/2=5

the answer would be 3/5

K k k k k K k k k k k k k k k k

pleaseeee help I will mark you brainiest!!!!!!

Answers

Answer:

I think it is -2,a+c, than b

What is the value of g(-4)
I <-4
gir) =
+32 + 11, 1 > -4
A.
..1
OB
15
OCH 27
OD.

Answers

Answer:

e a d

Step-by-step explanation:

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