Answer:
4sqrt(2) cm
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
32 = c^2
sqrt(32) = c
c = 4sqrt(2)
Brianna was offered a job that paid a salary of $77,000 in its first year. The salary
was set to increase by 2% per year every year. If Brianna worked at the job for 5 years,
what was the total amount of money earned over the 5 years, to the nearest whole
number?
Answer:776
Step-by-step explanation:
77
Brianna earned a total of approximately $400,652 over the 5 years.
What is an expression?A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.
To find the total amount of money Brianna earned over 5 years, we need to calculate her salary for each of the 5 years and add them up.
In the first year, Brianna's salary was $77,000.
In the second year, her salary increased by 2%, so it became:
$77,000 + 0.02 x $77,000 = $78,540
In the third year, her salary increased by another 2%, so it became:
$78,540 + 0.02 x $78,540 = $80,106.80
In the fourth year, her salary increased by 2% again, so it became:
$80,106.80 + 0.02 x $80,106.80 = $81,700.94
In the fifth and final year, her salary increased by 2% once again, so it became:
$81,700.94 + 0.02 x $81,700.94 = $83,303.11
To find the total amount of money Brianna earned over the 5 years, we just need to add up her salaries from each year:
$77,000 + $78,540 + $80,106.80 + $81,700.94 + $83,303.11 = $400,651.85
Therefore, Brianna earned a total of approximately $400,652 over the 5 years.
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The box-and-whisker plot below shows the age distribution of people at a family reunion. a box-and-whisker plot is shown. the number line goes from 8 to 72 in increments of 8. the whiskers range from 8 to 71, and the box ranges from 23 to 47. a line divides the box at 38. the stem-and-leaf plot below shows the same data. a stem and leaf plot is shown. the stems from top to bottom are 0, 1, 2, 3, 4, 5, 6, 7. the first column of leaves is 8, 0, 3, 1, 0, 0, 0. the second column of leaves is 9, 1, 3, 6, 1, 2, 1. the third column of leaves is blank, 4, 5, 6, 2, 3, blank. the fourth column of leaves is blank, 5, 6, 8, 4, 6, blank. the fifth column of leaves is blank, blank, 6, 9, 6, blank, blank. the sixth column of leaves is blank, blank, blank, 9, blank, blank, blank. the seventh column of leaves is blank, blank, blank, 9, blank, blank, blank. which of the following best explains why one graph appears skewed and one graph appears symmetrical? the scale of the box-and-whisker plot does not start at zero. the interval of the box-and-whisker plot is too large. the interval of the stem-and-leaf plot is not consistent. the scale of the stem-and-leaf plot is too small for the set of data.
One graph appears skewed, and one graph appears symmetrical because the interval 2 stem and leaf plots is not consistent, statement third is correct.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
The number line goes from 8 to 72 in incremental of 8, such as:
8, 16, 24, 32, 40, 48, 56, 64, 72
The whiskers range is from 8 to 71 and
Box ranges from 23 to 47.
The line divides the box at 38.
The mid-point of the line plot is at 40 and at first inspection, the stem and leaf plot appears to be accurate. In the stems, however, 5 is omitted entirely, giving the pattern a symmetrical rather than skewed appearance.
Thus, one graph appears skewed, and one graph appears symmetrical because the interval 2 stem and leaf plots is not consistent, statement third is correct.
Learn more about the histogram here:
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giving brainlist for correct answers =}
Answer:
Step-by-step explanation:
the answer is uniform
Answer:
Skewed right :)
Step-by-step explanation:
The most data points are to the left and there is barely any to the right. That is why it is skewed right :)
Have an amazing day!!
Please rate and mark brainliest!!
Credits to: hautauv!!!
A credit card is like a loan.
Select the three statements that explain why.
Answer:
The top right is the only incorrect one
Step-by-step explanation:
When money comes directly out of your bank account that is considered debit, not credit.
The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?
Answer:
so the answer is tyrany because i love to talk aboutheaarts so this is waht happened
Step-by-step explanation:
i need help its 7th grade area surface
Answer:
729 square inches
Step-by-step explanation:
9^3 or 9×9×9
(im not sure but i think thats it)
Write a statistical question that you might ask to gather information about the recycling habits of your neighbors
Answer:
How often do you recycle?
Step-by-step explanation:
Statistical questions are questions where results may vary meaning that depending on who you ask this question you can get very different but measurable answers.
Which
group of numbers is listed from least to
greatest?
Answer:
option 4
using absolute value, the 2 line thing (||) the order would be 2,3,5,7,9 which is least to greatest
If the radius of a circle is 2 inches, what is the area of the circle? Use 3.14 for pi
Answer:
12.56 in squared
Step-by-step explanation:
the formula for area is radius x radius x pi
So you do 2x2x3.14
(I would just do 4x3.14)
And then you get 12.56
Identify the radius, height, and diameter of the cylinder.
30 in.
12 in
Radius:
inches
Height:
inches
Diameter:
inches
Answer:
Radius: 12 inches
Height: 30 inches
Diameter: 24 inches
Step-by-step explanation:
Radius: 12 inches
Height: 30 inches
Diameter: 24 inches
. . . .. . . ................................
Answer:
4 1/10
Step-by-step explanation:
:) Hope this helps
if p=1(l+b), express b in terms of p and l:b=
Step-by-step explanation:
=> p=1(l+b)
=> P = 1l + 1b
=> 1l - P = 1b
=> b = 1l - P/1
~Done~
Or
p=1(l+b)
Step 1: Flip the equation.
b+l=p
Step 2: Add -l to both sides.
b+l+−l=p+−l
b=−l+p
Answer:
b=−l+p
Please answer:
Evaluate.
Answer:
6
Step-by-step explanation:
Permutation formula:
nPr=(n!)/(n-r)!
applying the formula
3P3= (3!)/(3-3)!
3!/0!
6/1
6
Find the distance between the two points. (3,4) ✓ [?] (-2,-1) Enter the number that goes beneath the radical symbol.
The distance between the points (3,4) and (-2,-1) is found being 5√2 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We've to find the distance between two points
(p,q) = (3,4)
and (x,y) = (-2, -1)
We get it as:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\D = \sqrt{(-2-3)^2 + (-1-4)^2} \\\\D = \sqrt{5^2 + 5^2} = 5\sqrt{2} \: \rm units[/tex]
Thus, the distance between the points (3,4) and (-2,-1) is found being 5√2 units.
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a school contains 583 pupils. if there are 37 girls than boys, find the number of boys.
Answer:
[tex]583 - 37 = 546[/tex]
Answer:
546
Step-by-step explanation:
subtract the numbers Frome each other
HELP! WILL GIVE BRAINLEST!
Answer:
option (a)
Step-by-step explanation:
0,pie is the answer
PLEASEEE HELP!!! 20 POINTSS
Answer:
Option c
Step-by-step explanation:
-7 + (19 + 5) = (-7 + 19) + 5
LHS = -7 + (19+5)
= -7 + 24
= 17
RHS = (-7 + 19) + 5
= 12 + 5
= 17
LHS = RHS
associative property of addition: When three or more numbers are added, the result remains same regardless how the numbers are grouped
Answer:
C
Step-by-step explanation: I think it is right but I don't know I am sorry if I get it wrong!
52.5% rounded to 1 decimal point
please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the radius of circle s is point,radius,arc,
Please Help With This!!!
Will try to give out brainliest!!!
Answer: [tex]2^4,4^2,16^1[/tex]
Step-by-step explanation:
Let's evaluate each expression
Remember the little number that is the exponent means to multiply that number by itself that amount of times
[tex]8^2=[/tex]8×8=64 this is not 16
[tex]2^4=[/tex]2×2×2×2=4×4=16
[tex]2^8[/tex] we already know [tex]2^4[/tex] was enough so this must be over 16 and incorrect
[tex]4^2=[/tex]4×4=16
[tex]16^1[/tex]=16
On Monday night, you have 2 hours of homework. On Tuesday night, you have 3
hours of homework! What is the percent of change in your homework amount
between Monday and Tuesday?
Answer:
New value - Old value / Old value (I memorize it as NOO)
3-2/2
1/2 convert to a percentage = 50 percent
Determine the area of the shaded region. Pool Use 3 for
[tex]\pi[/tex]
Answer:
36 sq in
Step-by-step explanation:
First find the area of the square: 12*12 = 144 in^2
next find the area of 1 circle, im assuming the circles are tangent to the sides of the square and to each other, so each circle has a radius of 12/4 or 3in, the area of each circle is then pi*3^2 or 27 in^2
the total area of the 4 circles is then 27*4 = 108in^2
144-108=36in^2
A line chart that has no axes but is used to provide information on overall trends for time series data is called a ________.
Answer:
sparkline
Step-by-step explanation:
A line chart that has no axes but is used to provide information on overall trends for time series data is called a sparkline.
can someone please help with This !
Answer:
A. E
B. D
C. A
Trust me on this one! I used a calculator.
If there are two angles that are supplementary, and the first angle has a measure of 137°, what is the measure of the second angle? A. 43 degrees B. 90 degrees C. 72 degrees
Answer:
Step-by-step explana what grade math is this?
Lilly has two cousins. One of the cousins is 7 years older than Lilly. The other cousin is 3 years younger than Lilly. The product of Lilly’s cousins' ages is 24. How old is Lilly?
Help soon, Zearn is bad at explaining lol
hey...
hope it really helps...!!!
A 2-column table with 6 rows. the first column is labeled week with entries 1, 2, 4, 6, 8, 10. the second column is labeled miles run with entries 5, 8, 13, 15, 19, 20. rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation of the line of best fit for the data? state each number to the thousandths place. y ≈ x
The line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x
How does linear regression works?Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.
The following data for the Week and miles run variables are provided to construct linear regression model:
Week miles run
1 5
2 8
4 13
6 15
8 19
10 20
The independent variable is Week(represented by x), and the dependent variable is miles run(represented by y). In order to compute the regression coefficients, the following table needs to be used:
Let week = x, and miles run = y, then we get this table:
x y xy [tex]x^2[/tex] [tex]y^2[/tex]
----------------------------------------------------
1 5 5 1 25
2 8 16 4 64
4 13 52 16 169
6 15 90 36 225
8 19 152 64 361
10 20 200 100 400
-----------------------------------------------------
Sum = 31 80 515 221 1244
Based on the above table, the following is calculated:
[tex]\bar X = \frac{1}{n} \sum_{i=1}^{n} X_i = \frac{ 31}{ 6} \approx 5.167[/tex]
[tex]\bar Y = \frac{1}{n} \sum_{i=1}^{n} Y_i = \frac{ 80}{ 6} \approx 13.33[/tex]
[tex]\large SS_{XX} = \sum_{i=1}^{n} X_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right)^2 = 221 - 31^2/6 \approx 60.833[/tex]
[tex]\large SS_{YY} = \sum_{i=1}^{n} Y_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} Y_i\right)^2 = 1244 - 80^2/6 \approx 177.33[/tex]
[tex]\large SS_{XY} = \sum_{i=1}^{n} X_i Y_i - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right) \left(\sum_{i=1}^{n} Y_i\right) = 515 - 31 \times 80/6 \approx 101.67[/tex]
Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:
[tex]m = \frac{SS_{XY}}{SS_{XX}} \approx \frac{ 101.67}{ 60.833} \approx 1.6712[/tex]
[tex]n = \bar Y - \bar X \cdot m = 13.33- 5.167 \times 1.6712 = 4.6986[/tex]
Therefore, we find that the regression equation is:
miles run = 4.6986 + 1.6712 Week
y = 4.6986 + 1.6712x (approximately)
To the thousandths place, it becomes:
y = 4.699 + 1.671x
Therefore, based on the information provided above, the following scatter plot and regression plot are obtained as the image attached below.
Thus, the line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x
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Answer:
y-1.671
4.699
Step-by-step explanation:
What is the average high temperature forecast for the five days 55, 57, 60,45,50
Answer:
53.4
Step-by-step explanation:
We first do
55 + 57 + 60 + 45 + 50
55 +57 + 45 + 110
57 + 100 + 110
57 + 210
267
Now we do 267 divided by 5.
This is 53.4
Which value of b will cause the quadratic equation x2 bx 5 = 0 to have two real number solutions?
A value in the interval (-∞,-2√5] ∪[2√5,∞) will give the two real number solutions.
Given quadratic equation is:
[tex]x^{2} +bx+5=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.
[tex]b^{2} -4(1)(5)\geq 0[/tex]
[tex]b^{2} -20\geq 0[/tex]
[tex]b^{2} -(2\sqrt{5} )^2\geq 0[/tex]
[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]
[tex]b\in(-\infty,-2\sqrt{5} ]\cup [2\sqrt{5} ,\infty)[/tex]
Hence, a value in the interval (-∞,-2√5] ∪[2√5,∞) will give the two real number solutions.
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