What single decimal multiplier would you use to increase by 2% followed by a 1% increase?

Answers

Answer 1

Answer:

Suppose that you have an initial quantity A.

If you have an increase of X%, the new quantity (NQ) is written as:

NQ = A + A*(X%/100%) = A*(1 + X%/100%).

Now, if we have an increase of 2% then:

NQ = A*(1 + 2%/100%) = A*(1 + 0.02)

And no we have another increase of 1%, then:

NQ = (A*(1 + 0.02))*(1 + 1%/100%) = A*(1 + 0.02)*(1 + 0.01) = A*1.0302

The single decimal multiplier that you can use to increase by 2% followed by a 1% increase is 1.0302


Related Questions

Katlin is choosing between two circular wall clocks one has the radius of 5 inches while the other one has a radius of 6 inches.How much more wall space will the clock with a radius of 6 inches cover?

Plz help i dont get any of these type of questions T-T

Answers

Answer:

Exact: [tex] 11 \pi~in.^2 [/tex]

Approximate: [tex] 34.6~in.^2 [/tex]

Step-by-step explanation:

The spaces the clocks occupy on the wall are the areas of the clocks.

The clocks are shaped like circles, so use the formula for the area of a circle to find the two areas. Then subtract the smaller area from the larger area.

[tex] A_{circle} = \pi r^2 [/tex]

Larger clock, r = 6 in.

[tex]A_{large~clock} = \pi \times (6~in.)^2 = 36 \pi ~in.^2 = 113.1~in.^2[/tex]

Smaller clock, r = 5 in.

[tex]A_{small~clock} = \pi \times (5~in.)^2 = 25 \pi ~in.^2 = 78.5~in.^2[/tex]

Difference in areas:

Exact: [tex] 36 \pi~in.^2 - 25 \pi~in.^2 = 11 \pi~in.^2 [/tex]

Approximate: [tex] 113.1~in.^2 - 78.5~in.^2 = 34.6~in.^2 [/tex]

pls help me with this question

Answers

Answer:

height = 12 feet

Step-by-step explanation:

r (radius of circle) = 7 ft

pi = 3.14 (in this context)

v = 1/3 * [tex]πr^{2}[/tex] (or pi * radius squared) * h

r squared = 49 ft

v = 1/3 3.14 * 49 * h

v = 1/3 153.86 * h

3v = 153.86 * h

v = 196π

v = 615.44

3v = 1,846.32

1,846.32 = 153.86 * h

h = 12 ft.

Sam and Adam share some money in the ratio 2 : 5.
Adam got £12 more than Sam.
Work out how much money Sam received.

Answers

Answer:

£8

Step-by-step explanation:

A

Sam:Adam

2:5

3=£12

12÷3=4

1=4

4×2=8

sam=£8

whats the answer to 5+6x=2-7

Answers

Answer:

x= -5/3

Step-by-step explanation:

hope this helps :) have a nice day !!

Find x in the diagram.​

Answers

Answer:

50

Step-by-step explanation:

The angle left of x added to 140 must be 180 as it is along a line so is 40.

We now have 40 + 90 + x = 180 so x = 50

work out the size of angle x

Answers

Answer:

36

Step-by-step explanation:

Answer:

x = 66

Step-by-step explanation:

We know that the sum of all the angles inside a triangle is 180 degrees

x + 79 + 35 = 180

x = 180 - 79 - 35

x = 66

DIU
metry:The vertices of AABC represent the buoy markers that form the legs of the course for a swim race. What is the distance from marker C to marker
A? Round your answer to the nearest tenth of a meter.

Answers

Answer:

130.5

Step-by-step explanation:

The solution is,  the value of x is approximately 116.5 meters.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

We are given the following information

From this picture, we want to find the vaule of x. To so, we will use the sine law. to solve this problem.

The sine law relates the sine of the angles of the triangle and the length of the opposite sides of the triangle. If we have a triangle of the form

Then,the sine law states that

sinA/a =sinB/b =sinC/c

Which is equivalent to

a/sinA = b/sinB = c/sinC

In our case, we are given the measure of angles A and B and missing the measure of angle C. Also, we are given the measure of side c. If we apply the sine law to the given triangle we have

x/ sin 35  = 200/ sin 80

So, first we need to identify the value of C. To do so, we will use the following fact:

The sum of the inner angles of a triangle is 180°.

Then, we have the following equation

65 +35 +C = 180

If we operate on the left side, we get

100+C = 180

So, by subtracting 100 from both sides, we get

C= 80

So, if we replace the value of C in the equation we had, we get

x/ sin 35  = 200/ sin 80

If we multiply both sides by sin(35) we get

x = 200* sin 35/ sin80

so, using a calculator we get

x = 116.5

so the value of x is approximately 116.5 meters

To learn more trigonometry click:

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What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.

Answers

Answer: 5 m

Step-by-step explanation:  

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart.  7 x 5.  So 7 is the height and 5 is the base.  

Check answer:  A = 1/2xbxh

                               A = 1/2 x 7 x 5

                               A =  1/2 x 35

                               A = 17.5 sq m

Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}​

Answers

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

[tex]2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3[/tex]

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

if Paula used 134 cups of flour for a recipe. How many cups y of flour did Paula have if she had x cups before making the recipe? Write an equation to represent the situation.

Answers

Answer:

If helpful, please mark as brainliest!  =)

Step-by-step explanation:

y=x-1 3/4 all you have to do is subtract the amount used (1 3/4) form the starting amount (x)

Watch help video
In ATUV, the measure of V=90°, the measure of ZU=58°, and TU = 38 feet. Find
the length of VT to the nearest tenth of a foot.
U
589
38
v
T
Х

Answers

Answer:

awit wala akong maintindihan. srna agad

Write an equation of the line that passes through the given point and is parallel to the given line.
(2, -3); y = –5

Answers

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

can someone please help me solve this?

Answers

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

What is the perimeter of JKL?

Answers

Answer:

The perimeter of JKL is 60 units.

Step-by-step explanation:

The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.

6-8 weeks i hope this help:)

Answers

Answer:

I have no idea but okay

What is the slope of the line

Answers

Slope = 1/2

Hope this helps! Have a great day :)
Yeah, it’s 1/2, you go up 1 and right 2 because the line touches the center of the intersecting lines

can some one help me for 100pts

Answers

Answer:

THanks

Step-by-step explanation:

Answer:

What is the question??

Step-by-step explanation:

Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.

Answers

Answer:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Step-by-step explanation:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

what is 2.4 rounded to the nearest tenth

Answers

Answer:

2

Step-by-step explanation:

If the tenth place has a number under 5, round down. (2)

If the tenth place is 5 or more, roundup. (3)

The solution for the number 2.42 rounded to the nearest tenth is 2.4

Used the concept of rounding numbers which states that,

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest tenth,

The number to round is 2.42

Clearly, the number 2 placed in the hundredth place is less than 5, so round the number down.

That is 2.42 ≈ 2.4

Therefore, the solution is 2.4

To learn more about rounding numbers visit:

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The complete question is,

What is 2.42 rounded to the nearest tenth?

a rectangle measuring 4m by 3m

Answers

Answer:

If you are asking the area it is 12

Step-by-step explanation:

Answer:

Area: 4 x 3 = 12m

Perimeter: 4 + 3 + 4 + 3 = 14m

Step-by-step explanation:

I hope this helps u! :D

Round 1.82 to the nearest whole number​

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

8 is above 5 so round up

Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get if they split it evenly?
A pizza with 8 slices. 5 slices are shaded.

Answers

Answer: 5/8 : 5=5/8*1/5=1/8

the answer is 1/8

Step-by-step explanation:

pick the number that will make the following expression true.​

Answers

Answer:

78 i believe

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Divide 27 by 100 and you will see it equals 0.27

knowing this made me realize that the unknown number must be the fraction form of 0.78

B. Order the following decimals from least to greatest.
21. 3.21, 3.021, 3.12, 3.121
22. 1.3, 1.309, 1.03, 1.39
23. 0.09, 0.012, 0.0089, 0.0189
24. 4.01, 4.0011, 4.011, 4.101
25. 5.5, 5.059, 5.0090, 5.05​

Answers

Answer:

I think:

21) 3.021, 3.120, 3.121, 3.21

22) 1.03, 1.3, 1.09, 1.39

23) 0.0089, 0.012, 0.0189, 0.09

24) 4.0011, 4.01, 4.011, 4.101

25) 5.0090, 5.05, 5.059, 5.5

Answer:

21. 3.021, 3.12, 3.121, 3.21

22. 1.03, 1.3, 1.309, 1.39

23. 0.0089, 0.012, 0.0189, 0.09

Please help me.....................

Answers

Answer:

87.92 in

Step-by-step explanation:

The formula for the circumference of a circle is C=2πr.

C = 2(3.14)(14) = 87.92

please help please help

Answers

Answer:

c

Step-by-step explanation:

4000x.5=2000 which is the next table on the chart.

Answer:

Step-by-step explanation:

y=ar^t

f(x)=4000(1/2)^x

Evaluate 10b + 3c, if b=3 and c = 11.

Answers

Answer:

63

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

Jaylen will deposit $1,750 in an account that earns 6% simple interest every year. His best friend, Eli, will deposit $1,600 in an account that earns 8.5% interest compounded annually. The deposit will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two friends’ account after 5 years

Answers

Answer:

Jaylen- 2275

Eli- 2405.85

Jaylen

1750 x 0.06 x 5 =525

525 + 1750 = 2275

He makes 525 simple interest in those 5 years so you add that to the initial amount, to find his total after 5 years.

Eli

A= 1600(1+0.085)^5

1600(1.085)^5

2405.85

Hope this helps ^-^

JKL is a straight line.
JK = KL = KM.
Angle KLM = 58°
Work out the size of the angle marked x.
Give a reason for each stage of your working.
K
X Х
M M
589
L

Answers

Answer:

61

Step-by-step explanation:

180 - 58 = 122

122÷2 = 61 because it's a and isoslecs triangle

brian makes an investment in his company’s stock . what does the stock chart say about the stock price today? The down arrow indicates the stock price has decreased from yesterday’s price of $______ at the ______ of the marley day.

Answers

Answer:50$ and 2

Step-by-step explanation:

Answer:

The down arrow indicates the stock price has decreased from yesterday’s price of $

66.20

at the

close

of the market day.

your welcome <3

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