well, Mai is 21 today and when she's 25 is 4 years from now, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000\left(1+\frac{0.10}{1}\right)^{1\cdot 4}\implies A=2000(1.1)^4\implies A=2928.2[/tex]
3x+4 = 4(2x+9)
Please Help I CANT DO THIS!!!
Answer:
x=(14+sqrt(88))/6=(7+sqrt(22))/3=3.897 can i get brainliest?
Need help with this fast
Answer:
it says 20% under the math part
This is Aleks! please help me with this! I have been stuck on this one for weeks!!
Answer:
1/12 + 3/12 = 4/12 (or 1/3)
Step-by-step explanation:
we want to express
1/12 + 1/4 as 1/12 + something / 12
1/12 + 1/4 = 1/12 + something/12
we already have the 1/12 part, so we're left with
1/4 = something / 12
first, we can calculate (denominator we want) / (denominator we have) = 12/4 = 3
then, we want to multiply our current value (1/4) by our result of the multiplication divided by itself.
3/3 = 1
1/4 = 1/4 * 1 = 1/4 * 3/3 = 3/12
thus, our second value is 3/12
we then have 1/12 + 3/12
if we have the same denominators, we can simply add the numerators up
1/12 + 3/12 = (1+3)/12 = 4/12
Melissa has a student dictionary on her desk. Her dictionary contains 99 pages. In this dictionary, more words start with the letter "S" than any other letter, occupying 11 full pages.
If she opens up the dictionary at random, what is the probability that the page contains words starting with "S"?
Answer:
I believe it is 1/9 or 11.1%
Step-by-step explanation:
11/99 /(divided by) 11 = 1/9
1/9 converted to a decimal is 0.1 (it's repeating- I am not sure how to do that on brainly w/ the fancy - over it, so it's 0.111111111...)
so as a percent, it makes it 11.1% (repeating) or 11 [tex]\frac{1}{9}[/tex]% (which is a more exact solution)
now if you need a ratio, it would be 1:9
hope this helps :)
Rewrite the following expressions without parentheses or negative exports
Answer:
Simplfied format with no parentheses or negative exponents: [tex]\frac{15y^5}{3x^{10}}[/tex]
Which statements about the figure must be true? select three options. angledbc is bisected by ray bd. angleabc is bisected by ray bd. bc = one-halfac line segment d b is-congruent-to line segment b c 2mangledbc = mangleabc
We can see that the statements that about the figure that must be true in the following:
∠ABC is bisected by ray BD.BC = One-half of AC2 ∠DBC = ∠ABC.What is angle?An angle actually refers to the figure that is formed when two rays share a common endpoint that is called vertex. Also, when two planes intersect, they also form angles.
Thus, we can see that the above options are the three options that makes the figure true.
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Solve this
[tex]4\left(5x-2\right)=2\left(9x+3\right)[/tex]
Answer:
Solution of equation ( x ) = 7Step-by-step explanation:
In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.
Solution : -
[tex] \quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )[/tex]
Step 1 : Removing parenthesis :
[tex] \quad \longrightarrow \:20x - 8 = 18x + 6[/tex]
Step 2 : Adding 8 from both sides :
[tex] \quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \:20x = 18x + 14[/tex]
Step 3 : Subtracting 18 from both sides :
[tex] \quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \:2x = 14[/tex]
Step 4 : Dividing with 2 on both sides :
[tex] \quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}[/tex]
Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
4 ( 5x - 2 ) = 2 ( 9x + 3 )4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]4 ( 35 - 2 ) = 2 ( 63 + 3 )4 ( 33 ) = 2 ( 66 )132 = 132L.H.S = R.H.SHence, Verified.Therefore, our value for x is correct .
#Keep LearningAnswer:
7[tex] \: [/tex]
Step-by-step explanation:
In the above question, we have to solve the equation and find the value of x. So,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 4(5x-2)=2(9x+3) }}} \\ \\ [/tex]
Using distributive property we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 20x-8=18x+6 }}} \\ \\ [/tex]
Adding (-18x) to both sides we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 20x-8 + ( - 18x)= \cancel{18x}+6 + \cancel{( - 18x) }}}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad 2x-8=6 }}} \\ \\ [/tex]
Now Adding 8 to both sides we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 2x-8 + 8=6 + 8 }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2x=14 }}} \\ \\ [/tex]
Dividing both sides by 2 we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{2x}{2} = \frac{14}{2} }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad x=7 }}} \\ \\ [/tex]
Therefore,
The value of x is 7Does anyone know the answers to this, I had to do this yesterday but I didn´t know any of the questions.
Answer:
(A)
(1) NO
(2) YES
(B)
(3) YES
(4) NO
(5) YES
Step-by-step explanation:
According to the triangle sum theorem, the three interior angles of any triangle add up to 180 degrees. So, if we add up the three angles given, to be a triangle, they have to add up to 180 degrees.
38 + 42 + 110 = 190
So, ( (1) 38, 42, 110 ) is not a triangle becuase it adds up to more than 180 degrees (1).
20 + 40 + 120 = 180
So, ( (2) 38, 42, 110 ) is a triangle because it adds up to 180 degrees (2).
For the lengths for a triangle, the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides. This is saying:
A-B < C
A+B > C
So to find if they can be, simply plug in the values.
(3)
4-3 < 3
True : 1 < 3
4+3 > 3
True : 7 > 3
(3) is a triangle.
(4)
3-2 < 5
True : 1 < 5
3+2 > 5
False : 5 > 5
(4) is not a triangle
(5)
5-2.5 < 4
True : 2.5 < 4
5+2.5 > 4
True : 7.5 > 4
(5) is a triangle
Margo used 78 square yards of fabric to make 52 dresses last year. She used the same amount of fabric to make each dress. How many square yards of fabric did Margo use to make each dress?
The amount of square yards of fabric that Margo used to make each dress is; 1.5 sq. yds
How to Solve Algebra word Problems?We are told that;
Last year, she used 78 yd² to make 52 dresses
We are told that she used the same amount of square yards for each dress.
Thus, to find the square yards of fabric that Margo used to make each dress, we just divide 52 by 78.
Square yards used for each fabric = 78/52 = 1.5 sq. yds
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What is the mean absolute deviation of robin’s scores? m a d = startfraction 8 1 5 0 12 over 5 endfraction
The mean absolute deviation of the given scores of Robin as shown in the diagram atatched is: 5.2.
What is the Mean Absolute Deviation of a Data?The mean absolute deviation of a data set is determined by finding the average of the distance of each data point from the mean of the data set.
Given that the distance from the mean are: 8, 1, 5, 0, 12,
Mean absolute deviation = (8 + 1 + 5 + 0 + 12)/5
Mean absolute deviation = 26/5
Mean absolute deviation = 5.2.
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Help me I need now plese
Answer:
Ex1. SAS, ASA, SSS, SAS
Ex2. There are 2 heights and equal length
Dtu =uts and ut common side du=us
Rq=sd and sq common side rs=qd
Which value is equivalent to 1,250 - 352
a
7
250
b 35
352
40
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
Answer:
area of triangle base ×height over 2= 10km×9.4 over 2
area rectangle l×w =10×10
Question is in image below.
Answer:
Step-by-step explanation:
Let's start with some conversions
-√113 = - 10.6301-120/11 = -10.90909-10.777... = -10.777...Remember that when you go to the negative side of the reals, the number that looks like it should be the largest, when negative is the smallest.
Answers
The smallest number of these three is -10.909
The second smallest is -10.777... repeat
The third smallest is -√113 which is -10.6301
The Largest one of the four is 10.7
The data in the table represents the training times (in seconds) for Arnold and Jackson.
Arnold 102 86 87 99 92 100 94 89 84 97
Jackson 103 100 83 87 88 85 91 93 96 101
Question 1
Which person's training times had the greatest spread? Explain.
Select from the drop down menus to correctly complete each statement.
The range of Arnold's training times is
Choose...
. The range of Jackson's training times is
Choose...
. Thus,
Choose...
.
Question 2
The middle 50% of the training times of which person had the least spread? Explain.
The interquartile range of Arnold's training times is
Choose...
. The interquartile range of Jackson's training times is
Choose...
. Thus, the middle 50% of
Choose...
training times have the least spread.
Question 3
What do the range and interquartile range tell you about Arnold and Jackson's training times?
Select each correct answer.
Arnold's training times are more consistent than Jackson's.
Arnold and Jackson's training times have the same spread.
Jackson's training times are just as consistent as Arnold's.
Jackson's training times have the most spread.
Range for Arnold: 18; IQR: 12
Range for Jackson: 20; IQR: 13
Jackson's had the greatest spread.
Arnold's middle 50% had the least spread
What is the Range and Interquartile Range of a Data Set?Range = Maximum value - minimum value
Interquartile range (IQR) = Q3 - Q1
Range and IQR are both measures of variability. The larger the value, the more spread the data values in a data set are.
Range for Arnold's training times = 102 - 84 = 18
Range for Jackson's training times = 103 - 83 = 20
Therefore, Jackson's training times had the greatest spread.
Interquartile range for Arnold's training times = Q3 - Q1 = 99 - 87 = 12
Interquartile range for Jackson's training times = Q3 - Q1 = 100 - 87 = 13
Thus, Arnold's middle 50% of his training times had the least spread.
The range and interquartile range tells us that, Arnold's training times are more consistent than Jackson's.
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Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2
20
14
26
11
Amanda and Molly are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Amanda sold 3 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $60. Molly sold 1 roll of plain wrapping paper and 9 rolls of shiny wrapping paper for a total of $132. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? (no links please)
Answer:
Step-by-step explanation:
Solving system of symultaneous equation:
Let the cost of one roll of plain wrapping pair = x
Let the cost of one shiny wrapping paper = y
Amanda:
Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60
3*x + 3*y = 60
3x + 3y = 60 ------------------(I)
Molly:
Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132
x + 9y = 132 ---------------------(II)
x = 132 - 9y ---------------(III)
Substitute x = 132 -9y in equation (I)
3*(132-9y) + 3y = 60
3*132 - 3*9y + 3y = 60
396 - 27y + 3y = 60
Combine like terms
396 - 24y = 60
Subtract 396 from both sides
-24y = 60 - 396
-24y = -336
Divide both sides by (-24)
y = -336/(-24)
[tex]\sf \boxed{y=14}[/tex]
Now, substitue y = 14 in equation (III)
x = 132 - 9*14
= 132 - 126
[tex]\sf \boxed{x = 6}[/tex]
cost of one roll of plain wrapping paper = $ 6
Cost of one roll of shiny wrapping paper = $ 14
Find the area of this triangle, round to the nearest tenth
Answer:
27.7 [tex]in^2[/tex]
Step-by-step explanation:
Find length of missing side:
11^2-6^2 = x^2
85=x^2
x = [tex]\sqrt{85}[/tex]
x = 9.22
9.22*6 / 2 = 27.66
Round to tenth:
27.7
7. The perimeter of a right triangle is 60 cm and its hypotenuse is 25 cm. Find the area of the triangle.
Answer:
150 cm²
Step-by-step explanation:
Given
Perimeter = 60 cmHypotenuse = 25 cmSolving
We need to find the lengths of the altitudesSince 25 cm is already covered there is (60 - 25) = 35 cm remainingThe lengths can be taken as x and 35 - xNow, since it's a right triangle, we can solve for x using the Pythagorean TheoremApplying the theorem
x² + (35 - x)² = 25²x² + 1225 - 70x + x² = 6252x² - 70x + 600 = 0x² - 35x + 300 = 0x = 35 ± √1225 - 4(1)(300) / 2x = 35 ± √25 / 2x = 35 ± 5 / 2x = 40/2 = 20 or x = 30/2 = 15Upon solving the lengths of the altitudes are 15 and 20Area of the triangle
1/2 x product of the altitudes1/2 x 15 x 2010 x 15150 cm².A basket that contains 12 apples costs
$3.75. What is the price for a basket that
contains 18 apples?
Answer:
$5.63
Step-by-step explanation:
We can form a ratio to solve this problem
12:3.75
18/12 = 1.5 times rate
1.5(12):1.5(3.75)
18:5.625, rounded to 5.63
Answer:
$5.63
Step-by-step explanation:
Divide the dollar over the apple.[tex]$3.75/12=0.3125[/tex] cent per apple. Now multiply it with 18 apples.
[tex]18 apples * 0.3125 cent = $5.625[/tex] rounding that up to cents so $5.63
A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has
side lengths measuring 1 foot.
What is the volume, in cubic feet, of the rectangular prism?
A. 12
B. 13
C. 54
D. 72
The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.
Hence, Option D) 72ft³ is the correct answer.
Rectangular Prism and Cube
A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.
The volume of a rectangular prism is expressed as;
V = l × w × h
Where l is length, w is width and h is height of the prism
A cube is a three-dimensional solid with six equal square-shaped sides.
Given the data in the question;
Length of the sides of the cube = 1 footLength of the rectangular prism l = 4 cubes × 1 foot = 4ftWidth of the rectangular prism w = 3 cubes × 1 foot = 3ftHeight of the rectangular prism l = 6 cubes × 1 foot = 6ftTo determine the volume of the rectangular prism, we substitute our given values into the expression above.
V = l × w × h
V = 4ft × 3ft × 6ft
V = 72ft³
Option D) 72ft³ is the correct answer.
Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.
Escribe una ecuación que represente la gráfica.
Point Q is located on the coordinate grid at (− − 9.73, −3.32). In which quadrant is point Q
located?
Answer:
The third quadrant
Step-by-step explanation:
Point Q is located in the third quadrant because the values for both x and y are negative
Solve the system of equations y=-x+3 and 2x+2y=6
Answer:
y = -x + 3
Step-by-step explanation:
1. Substitute "y = -x + 3" in for y in the second expression:
2x + 2(-x + 3) = 6
2. Simplify:
2x + (-2x) + 6 = 6
0 + 6 = 6
6 = 6
Because the values are equal, the solution of y = -x + 3 is a valid input.
hope this helps!
Answer:
Answer to the first equasion is y=2: 2=-1+3
Step-by-step explanation:
y=-x+3 (x=1)
-3 y=-x
-3=2
2=-1+3
y=2
Hope this helps and makes sence
In
the number 22, how many times larger is the
value of the digit in the tens place than the value of
the digit in the ones place?
Answer: 10 times larger
Step-by-step explanation:
Please hurry!
In the diagram, r || s.
Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from top left, the angles formed with line r are blank, blank, 1, (2 x + 12.8) degrees; with line s are blank, blank, 117.6 degrees, blank.
What is the value of x?
x =
Answer: Angle 1 is 117.6⁰, the alternate angle to 1 is also 117.6⁰
X is 24.8
The Angle 2X + 12.8 = 62.4⁰, the alternate angle to it is also 62.4⁰
Step-by-step explanation: Angle (2X + 12.8 )forms 1180⁰ with Angle 1
180⁰- 117.6⁰ = 2X + 12.8
62.4⁰ = 2X + 12.8
Subtract 12.8 from both sides
49.6 = 2X
X is 24.8⁰
Answer:
X = 24.8
Step-by-step explanation:
Edge
Instructions: The following is the recorded earthquakes on South Carolina from August, 2016 to February, 2017. Use the data to find the residuals. Then draw a residual plot by hand. Use the residual plot to determine if the linear model is the best regression model for this data.
Magnitude Depth (km. )
[Table]
1. 7 2. 9
1. 1 0. 8
1. 4 1. 9
0. 7 3. 2
0. 8 4. 3
1. 9 4
1. 7 6. 3
1. 9 6. 9
1. 9 0. 9
1. 1 2
Source: USGS
x Residual (Round to nearest tenth)
1. 7 Answer
1. 1 Answer
1. 4 Answer
0. 7 Answer
0. 8 Answer
1. 9 Answer
1. 7 Answer
1. 9 Answer
1. 9 Answer
1. 1 Answer
Answer:
1.7 = -0.7
1.1 = -2.1
1.4 = -1.4
Unsure about 0.7
0.8 = 1.7
1.9 (unsure about both)
1.1 = -0.9
Step-by-step explanation:
Hope this helps :)))
The regression line is not a good model because the residuals are not randomly distributed.
What is the residual plot?For a residual plot to represent a good model, the points on the residual plot must be randomly distributed across the coordinates.
From a regression, the residual is the difference between the observed values and the predicted values.
Using the graph, we can see that the points that follow a pattern (or curve) regression line is not a good model because the residuals are not randomly distributed.
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Timmy drank 2 quarts of water yesterday. He drank twice as much water today as he drank yesterday.
How many cups of water did Timmy drink in the two days
Answer:
24 cups or 6 quarts
Step-by-step explanation:
2 x 2 = 4 4 + 2 = 6
6 x 4 = 24
Determine if the given relation is function or not. Give its domain and
range.
2. {(4, 2), (4, 3), (-2, 4)}
Answer:
NoStep-by-step explanation:
According to the definition of the function each domain should have a uniqe range.
We have same domain of 4 with two different ranges 2 and 3.
It makes the relationship one-to-many, which can't be a function
Step-by-step explanation:
The rule is
A relation is said to be a function if every domain has an unique range
y=f(x)Here
f(4) has 2 values 2,3 hence it's not an function
Vivian and her friend Maddie are each baking apple pies and tarts for a bake sale, using the same recipes. Vivian baked 10 apple pies and 10 apple tarts, using a total of 130 apples. Maddie made 10 apple pies and 5 apple tarts, which used 100 apples. How many apples does each dessert require?
Answer:
6.5
Step-by-step explanation: