100 PONITSS HELPPPPPPPPP
Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores.
Class 1
45
68
77
90
90
95
100
100
86
90
50
55
Class 2
64
65
70
40
100
87
84
88
90
90
95
80
Class 3
70
75
75
90
100
80
55
65
76
80
88
99
a. Find the mean, median, mode and range of Class 1.
b. Find the mean, median, mode and range of Class 2.
c. Find the mean, median, mode and range of Class 3.
d. Find the standard deviation of Class 1.
e. Find the standard deviation of Class 2.
f. Find the standard deviation of Class 3.
g. Which class had a higher standard deviation and what does that mean?
h. In your opinion, which class did better on the exam? Explain your answer.
Answers
The values of the descriptive statistics of the given data on the scores of the classes in the Algebra class are;
a. Mean; 78.83, Median; 88, Mode; 90, Range; 55
b. Mean; 79.52, Median; 85.5, Mode; 90, Range; 60
c. Mean; 79.52, Median; 78, Mode; 75, Range; 45
d. 19.66
e. 16.87
f. 13.27
g. Class 1
h. Class 3
What is a descriptive statistic?A descriptive statistic is one that provides an idea of contents of a dataset by outlining the pattern found within the dataset
Mean
The mean of the dataset is given by the formula;
[tex] \displaystyle{Mean = \frac{Sum \: of \: data}{Number \: of \: data}} [/tex]
Median
The median of a dataset is the middle term of a dataset when the data are arranged in increasing order
Mode
The mode of a dataset is the value that occurs most frequently
Range
The range is given by the difference between the maximum and minimum values of the dataset
a. The mean of Class 1 obtained from an application is 78.83
The median = 88
The mode = 90
The range = 55
b. The mean of Class 2 obtained from an application is 79.42
The median = 85.5
The mode = 90
The range = 60
c. The mean of Class 3 obtained from an application is 79.42
The median = 78
The mode = 75
The range = 45
d. The standard deviation is given by the formula;
[tex] \displaystyle{\sigma = \sqrt{\frac{\sum (x_i -\bar x)^2} {N}}}[/tex]
Where;
[tex] \displaystyle{ x_1}[/tex] = The ith data
[tex] \displaystyle{\bar x}[/tex] = The mean
N = The number of data
Solving using a spreadsheet application, we have;
The standard deviation for class 1 = 19.65
e. The standard deviation of class 2 found using a spreadsheet application is 16.87
f. For class 3, the standard deviation is 13.27
g. From the above calculations, the class that has the highest standard deviation is class 1, with a standard deviation of 19.65
The high standard deviation means that there is a lot of variability or variation in the scores of class 1
h. The class that did better is class 3, that has the lowest standard deviation and range as well as one of the highest mean
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Related Questions
Melissa is having a party. She has $126 to spend on ice cream. Each container of ice cream costs $6. How many containers of ice cream will she be able to purchase?
Answers
Answer: 21 containers of ice cream
Step-by-step explanation: simple problem, take 126 and divide it by 6 to get your answer
1. The graph shows the height of a plant after a certain amount of time measured in days. Do you think that there may be a proportional relationship between the number of days and the height of the plant? Explain your reasoning. The graph shows how much snow fell after a certain amount of time measured in hours. 2. Do you think that there may be a proportional relationship between the number of hours and the amount of snow that fell? Explain your reasoning.
Answers
Due to different rates of change in each case, neither graph shows a proportional relationship.
When does a graph represents a proportional relationship?A graph represents a proportional relationship if the output variable y in the y-axis can be written as a product of the input variable x in the x-axis and the constant of proportionality k, as follows:
y = kx.
Item 1Between days 0 and 10, the plant grew by 4 centimeters.Between days 30 and 40, the plant grew by 8 centimeters.For the first case, the rate of change is of:
k = 4/10 = 0.4.
For the second case, the rate of change is of:
k = 8/10 = 0.8.
Different rates, hence cannot be written as proportional relationship.
Item 2Between hours 0 and 2, the amount of snow grew by 2 inches.Between days 2 and 4, the amount of snow remained constant at 2 inches.Hence the rates for each interval are given as follows:
Hours 0 - 2: 2/2 = 1 inch a hour.Hours 2 - 4: 0/2 = 0 inches a hour.Different rates, hence it is not a proportional relationship.
What is the missing information?The graphs are missing and are given by the image inserted at the end of the answer.
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1. Check whether the following is closure under multiplication : 7×12 = 72
2. The sum of two integers is -38,one of them is -22.Find the other.
3. In a competitive exam, Gopi gets 4 marks for each correct answer and -2 for each wrong answer. If he gives 32 correct answers and 8 wrong answers, what will be his total score?
Answers
7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.
1)
Closure property of multiplication:
It states that if two real numbers a and b are multiplied, then the product will be a real number as well.
We have 7 × 12 = 72
7, 12 and 72 all are real numbers.
So, it is a closure property under multiplication.
2)
Sum = - 38
a = - 22
We need to find b
a + b = - 38
- 22 + b = - 38
b = - 38 + 22
b = - 16
3)
1 correct answer = 4 marks
1 incorrect answer = - 2 marks
Number of correct answers = 32
Number of incorrect answers = 8
Total score = 32 × 4 + (- 2) × 8
= 128 - 16
= 112 marks.
Therefore, we get that, 7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.
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Ver en español
Cindy needs c cups of flour to make brownies. She has 5 cups of flour in her cupboard. Write an expression that shows how many cups of flour Cindy will have left after making the brownies.
Answers
The expression for the number of cups of flour Cindy has left in the cupboard is y = 5 - c.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Let c be the number of cups of flour Cindy needs in her cupboard.
Let y be the number of cups of flour Cindy has left after making the brownies.
Now, the total number of cups in the cupboard is 5.
So, the expression for the total number of cups will be:
c + y = 5
Subtracting c from each side of the equation.
c + y - c = 5 - c
y = 5 - c
Therefore, the expression for the number of cups left is y = 5- c.
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Find the value of r so the line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 1 2
Answers
The line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 1 2, then the intersection with the domain is r = -5/3.
The line that passes through the pair of points has the given slope is,
( − 2 , 8 ) , ( r , 4 ) and m = -12
What is Slope :Slope, numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
m = rise/run
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Where,
m = slope
[tex](x_{1} ,y_{1} )[/tex] = coordinates of first point in the line
[tex](x_{2} ,y_{2} )[/tex] = coordinates of second point in the line
Then, we can find the [tex]m_{1}[/tex]
We can use these two values, ( − 2 , 8 ) , ( r , 4 )
x1 = -2
y1 = 8
x2 = r
y2 = 4
m = [tex]\frac{4-8}{r-(-2)}[/tex]
[tex]m = \frac{-4}{r+2}[/tex]
We can substitute m= -12 value into m= -(4/r+2)
So,
We can write,
-12 = [tex]\frac{-4}{r+2}[/tex]
We can find the domain,
If the fraction is defined, the dominator can not be equal to zero.
2 + r ≠ 0
Rearrange variables to the left side of the inequality,
r ≠ -2
Append the inequality as the domain,
r ≠ -2
We can solve the equation,
-12 = [tex]\frac{-4}{r+2}[/tex]
Multiply both sides of equation by the common denominator,
-12 (r+2) = -4(r+2)/ (r+2)
Reduce the fractions,
-12 (r+2) = -4
Apply the distributive property,
-12r - 24 = -4
Rearrange variable to the left side of the equation,
-12r = -4 + 24
Calculate the sum or difference,
-12r = 20
Divide both sides of the equation by the coefficient of variables,
r = - 20/12
r = -5/3
Therefore,
The intersection with the domain is r = -5/3, so the line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 12.
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In the figure below, m
m
Answers
rjdjdjdufjfjfjfjfuuf
how many groups of 5/8 are in 15/16? Show all your work.
Answers
5/8 -> 10/16
2) Ignore the fractions and leave the top
10, 15
3) Divide 15 by 10
15/10 = 1.5
There are 1.5 groups of 5/8 in 15/16
Two angles are supplementary if their sum is 180°. The larger angle measures three degrees more than twice the measure of a smaller
angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answers
Smaller Angle= 59°
Large Angle= 121°
EXPLANATION:
You can start with setting it up like this
Small angle=X
Large angle=Y
We also know the large angle is 3 more then two times the small angle, it can be shown like this
y=2x+3
We also know that supplementary angles add up to 180°. So we now have 2 equations.
y=2x+3
x+y=180
Plug the first equation into the second one. Then solve for x
x+(2x+3)=180
3x=177
x=59
Then plug x into the first equation and solve for y.
y=2(59)+3
y=121
So…
Smaller Angle= 59
Large Angle= 121
Is (x - 5) a factor of the following polynomial. Show your work. No work-no credit. 6) 5x³-28x + 13x³ + 5x² + 27x - 10 7) 2x² - 4x² - 10
Answers
(x-5) is not a factor of 6) 5x³-28x + 13x³ + 5x² + 27x - 10 and 7) 2x² - 4x² - 10.
What is the long division method?
You can divide huge numbers into numerous smaller groups or portions with the long division tool. The number of groups that can be formed when a dividend is divided by a divisor is given by the quotient, and the number of elements or integers that will remain ungrouped is given by the remainder.
6) we can simplify the equation 5x³-28x + 13x³ + 5x² + 27x - 10 further,
= 5x³+ 13x³+ 5x²-28x + 27x - 10
=[tex]18x^{3}+5x^{2} -x-10[/tex]
similarly, equation 2x² - 4x² - 10 can further be simplified
= [tex]-2x^{2} +0x-10\\[/tex]
now using the long-division method, in both cases (refer to the photo attached):
After referring to the picture we can conclude that (x-5) is not a factor of 6) 5x³-28x + 13x³ + 5x² + 27x - 10 or 7) 2x² - 4x² - 10.
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hoang has worked as a nurse at springfield general hospital for 6 years longer than her friend bill. four years ago, she had been at the hospital for twice as long. how long has each been at the hospital?
Answers
By solving the equation we can conclude that Bill worked 4 years and Hoang worked 10 years in the hospital.
What do we mean by equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, Hoang worked for 6 years longer than her friend.
Let, the time Bill worked in the hospital be 'x'.So, Hoang worked in the hospital will be 'x + 6'.She spent twice as much time in the hospital two years ago. Then:
x + 6 - 2 = 2x4 = xx = 4Hence, Bill worked for 4 years and Hoang worked (4+6) for 10 years in the hospital.
Therefore, by solving the equation we can conclude that Bill worked for 4 years and Hoang worked for 10 years in the hospital.
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Please answer the math question or help me on this.
Answers
The equation that represents the proportional relationship between the number of red paint and white paint is: y = 1/4x.
How to Write an Equation of a Proportional Relationship?A proportional relationship between two variables, x and y, where k represents the constant of proportionality or unit rate, can be expressed in slope-intercept form as: y = kx.
To find the value of k, which is the unit rate, the coordinates of any point on the line can be used and solved as: k = y/x.
Given the graph that represents the relationship between the number of red paint and white paint, we can use a point on the line, say (4, 1) to find k:
Unit rate/constant of proportionality, k = y/x = 1/4.
Substitute k = 1/4 into y = kx:
y = 1/4x.
The equation is: y = 1/4x.
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x - 2(x - 6) = -x + 12
Answers
The value of x in the equation given as x - 2(x - 6) = -x + 12 is 0
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution to the equation?A system of linear equations is a collection of at least two linear equations.
In this case, the equation is given as
x - 2(x - 6) = -x + 12
Open the bracket
So, we have
x - 2x + 12 = -x + 12
Evaluate the like terms
So, we have
x - 2x = -x
This gives
x = 0
Hence, the solution of x in the equation is 0
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PLEASE I NEED ANSWER
Answers
Answer:
C and D. The x-axis is horizontal, the y-axis is vertical. Quadrant 3 is where you would find a point where the x is positive and the y is negative. Quadrant 3 is below the x-axis and is to the left of the y-axis.
Step-by-step explanation:
Hope it helps! =D
A line passes through the point (5,-2) and has a slope of -3
Answers
Answer: not sure
Step-by-step explanation: this: by this -
Equals this: ur mom
HELP FOR 40 PTS AND BRAINLY :)
Answers
Answer:
A. 183Step-by-step explanation:
To solve this problem, use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract112-38*14÷14+109
First thing you do is multiply.
[tex]\sf{38*14\div14}[/tex]
38*14=532
532÷14=38
112-38+109
Add and subtract the numbers from left to right.
[tex]\sf{112-38+109}[/tex]
[tex]\sf{112-38=74}[/tex]
[tex]\sf{74+109=\boxed{\sf{183}}[/tex]
[tex]\Rightarrow \boxed{\sf{183}}[/tex]
Therefore, the correct answer is A. 183.
I hope this helps, let me know if you have any questions.
Answer:
I’m believing it is A. 183
Step-by-step explanation:
is correct don’t you;)
A stack of recyclable newspaper 36 inches high will save one tree. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers. How many trees would be saved from a stack of newspapers 24 feet high?
Answers
The number of trees that could be saved is 8 trees.
What is the number of trees?We know that papers are obtained from trees. The trees have to be cut down and then the Malina from the trees could be used in the production of paper.
It is also possible to save the trees by decreasing the number of trees that have to be cut by the recycling of the paper. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers.
If stack of recyclable newspaper 36 inches high will save one tree;
Let the stack of recyclable newspaper = s
Number of trees = n
s α n
Introducing a constant of proportionality
s = kn
k = s/n
k = 36 inches/1
k = 36 inches
When the height is 24 feet high of 288 inches
n = s/k
n = 288 inches/36 inches
n = 8 trees
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Solve the following inequality:
4c<14-3c
Answers
Answer: x < 2
Step-by-step explanation:
To solve this, we will isolate the variable c.
Given:
4c < 14 - 3c
Add 3c to both sides of the equation:
7x < 14
Divide both sides of the equation by 7:
x < 2
Estimate the quotient of 72.4 ÷ 9.38.
8
9
10
11
Answers
Answer:
7.719
Step-by-step explanation:
2/3c - 2 = 2 + c
Solve for C.
Answers
Answer:
c=-12
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3c−2=2+c
Step 1: Simplify both sides of the equation.
2/3c−2=2+c
2/3c+−2=2+c
2/3c−2=c+2
Step 2: Subtract c from both sides.
2/3c−2−c=c+2−c
−1/3c−2=2
Step 3: Add 2 to both sides.
−1/3c−2+2=2+2
−1/3c=4
Step 4: Multiply both sides by 3/(-1).
(3/−1)*(−1/3c)=(3/−1)*(4)
c=−12
Answer:
c=−12
Simplify: 3√5•√10+11√5•√10-√5
choices:
A) 14√15-√5
B) 6√35
C) 26√50
D) 14√50-√5
Answers
The value of the numbers 3√5•√10+11√5•√10-√5 based on the information is D. 14✓50 - ✓5
How to illustrate the information?It should be noted that based on the information given, we simply want to simplify 3√5•√10+11√5•√10-√5.
This will be illustrated as:
= 3√5•√10+11√5•√10-√5
It should be noted that the numbers inside the square roots will be multiplied. This will be:
= (3√5•√10) + (11√5•√10) -√5
= 3✓50 + 11✓50 - ✓5
= 14✓50 - ✓5
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24. How many dimensions does a line have?
a. No dimensions
b. One dimension
c. Two dimensions
d. Three dimensions
Answers
Answer:
b. one dimension
Step-by-step explanation:
0 dimensions would be a point.
1 dimension is a line
2 dimensions is an area
3 dimensions is a volume.
the probability that it will rain is 0.42 what is the probability that it will not rain
Answers
Answer:
99.58
Step-by-step explanation:
Im not sure if its correct but the way I got the answer is 100-0.42
Can anyone help me get through this problem I’ve tried using my knowledge but it’s not much. PLEASE HELP.
Answers
The scissor has intersecting lines with angles 1,2,3,4.The angles are ∠1=159° and ∠3 is 159°. We got the angle ∠2=21° and ∠4=21°.
Given that,
In the picture there is a scissor.
The scissor has intersecting lines with angles 1,2,3,4.
∠1=159° and ∠3 is 159°.
We have to find the angles ∠2 and ∠4.
Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees. There is a unique connection between the angles created when lines intersect.
The straight line has 180°
∠1+∠2=180°
159°+∠2=180°
∠2=180°-159°
∠2=21°
Now,
∠3+∠4=180°
159°+∠4=180°
∠4=180°-159°
∠4=21°
Therefore, the angle ∠2=21° and ∠4=21°.
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Estimate the quotient of 72.4 ÷ 9.38.
8
9
10
11
Answers
Answer: 80
Step-by-step explanation:
72.4 = 724/10
9.38=
938/10.
72.4/9.38
= 7.7
=8 approximately
The estimated quotient of 72.4 ÷ 9.38 is 8
Estimation is the process of calculating the approximate value to make the calculation easier and simple.
The rounding off a number is the process of putting a number up or down to the nearest whole number or the nearest tens, hundred, thousand, etc
First number is 72.4
Round the number to the nearest whole number
72.4 = 72
Second number is 9.38
Round the number to the nearest whole number
9.38 = 9
Divide the number 72 by 9
72/9 = 8
The quotient is 8
Hence, the estimated quotient of 72.4 ÷ 9.38 is 8
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Which equation is equivalent to the equation 4x + 28 = 40?
a. 4 (x + 28) = 40
b. 4 (x + 7) = 40
c. 4x = 68
d. 32x = 40
Answers
Answer:
b
Step-by-step explanation:
4x + 28 = 40
4x + 4*7 = 40
4(x+7) = 40
In a small private school 3 students are randomly selected from 17 available students what is the probability that they are the three youngest students
Answers
Probability of three youngest student are selected is [tex]\frac{1}{816}[/tex]
What is probability?The field of mathematics known as probability concerns with numerical representations of the possibility that an event will occur or that a statement is accurate. An event's probability is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 represents certainty.
Given data
Total number of students available = 17
Number of students selected = 3
C₍₁₈₋₃₎ = [tex]\frac{18!}{3!(18-3)!}[/tex]
C₍₁₈₋₃₎ = [tex]\frac{18(17)(16)}{3(2)(1)}[/tex]
C₍₁₈₋₃₎ = [tex]\frac{4896}{6}[/tex]
C₍₁₈₋₃₎ = 816
Number of ways where students selected are youngest = 1
Probability of three youngest student are selected
= [tex]\frac{1}{C}[/tex]₍₁₈₋₃₎
= [tex]\frac{1}{816}[/tex]
Probability of three youngest student are selected is [tex]\frac{1}{816}[/tex].
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Maria and Jamal each have gardens. The area of Maria’s garden is represented by the expression 8x2 – 3x. Jamal’s garden is a rectangular plot with the width and length represented by the expressions 3x and 4x – 2.
Which expressions give how much bigger or smaller Jamal’s garden is compared to Jessica’s? Check all that apply.
4x2 – 9x
–4x2 + 3x
4x2 – 3x
12x2 – 6x – 8x2 – 3x
12x2 – 6x – 8x2 + 3x
Answers
The expression will be given as -4x² + 3x. Thus, option B is correct answer.
Area may be defined as the total amount of space which is covered by an entity. The area for a square will be given by the product of its sides and the area of the rectangle will be given as the product of its length and breadth. It is given that the area of Maria's garden is 8x² - 3x and the length and breadth of Jamal's garden are 4x - 2 and 3x respectively. The area of Jamal's garden is given by A = l×b = (4x - 2) × 3x = 12x² - 6x.
Now, difference between Maria's garden and Jamal's garden is given by
(8x² - 3x) - (12x² - 6x)
= 8x² - 3x - 12x² + 6x
=> -4x² + 3x which is the required answer.
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Does the function y equals 14 times the quantity 1 over 2 end quantity to the x power represent exponential growth or decay? what is the equation of the asymptote? decay; y = 0 growth; y = 0 decay; x = −3 growth; x = −3
Answers
The exponential function given in this problem represents an exponential decay, and it's asymptote is of y = 0.
What is an exponential function?An exponential function is modeled according to the rule given as follows:
[tex]y = ab^x + c[/tex]
The parameters of the function are defined as follows:
a + c is the y-intercept, which is the value of the function when x = 0.b is the rate of change of the function.c is the asymptote of the function.To verify if the function represents growth or decay, we have to check parameter b as follows:
If |b| > 1, the function represents exponential growth.If |b| < 1, the function represents exponential decay.In the context of this problem, the function is defined as follows:
[tex]y = 14\left(\frac{1}{2}\right)^x[/tex]
Hence the parameters of the given function are as follows:
a = 14, b = 0.5, c = 0.
Then:
Since |b| = 0.5 < 1, the function represents exponential decay.The asymptote of the function is of y = c = 0.More can be learned about exponential functions at https://brainly.com/question/25537936
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Answer:
Answer down bellow
Step-by-step explanation:
Q's asked: Does the function y equals 14 times the quantity 1 over 2 end quantity to the x power represent exponential growth or decay? What is the equation of the asymptote?
Answer: Decay; y = 0
hope this helps
~~Wdfads~~
The number of students at Longview Middle School decreased by 0.75% from the number of students the previous year. To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares. How many of the smaller squares will be shaded to represent 0.75%?
The area of Nevada is about 245% of the area of Ohio. How many squares would be shaded on 10 × 10 grids to represent 245%?
Answers
The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.
The number of squares to correctly represent 245% on the grid is; 245.
What is the number of smaller squares which would be shaded to represent 0.75%?It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.
Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;
The percentage, 0.75% can be represented by shading 75 smaller squares.
Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.
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on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%.
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on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%. then overall raise is 16%
on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%.
let us assume the amount be 100
in 2007 it increase at 2% then it become 102
in 2008 at rate 2.5% then =102+2.55=104.55
in 2009 at rate 3% then it become =3.1365+104.55= 107.68
in 2010 at rate 3.5% = 3.7690+107.68=111.44
in 2011 at rate 2.5% = 2.786+111.44=114.22
in 2012 at rate 1.5%= 1.71+114.22=115.93
Hence, overall increase is 16%
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