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Armando deposits $3,827 into a bank account paying 2.8% interest,
compounded monthly (12 times per year). How much money will he have in
his bank account after 16 years? PLEASE HELP!!
Answer:
$745,460.8
Step-by-step explanation:
2.8/100 × 3827 = $107.16
monthly = 1/12
\(p = \frac{100 \times i}{rt} = \frac{100 \times 107.16}{2.8 \times \frac{1}{12} } = \frac{10716}{0.23} \\ = 46591.3\)
$46,591.3 in 1year
16 years; $46,591.3 × 16 = $745,460.8
HELP WILL GIVE BRAINLYEST
Answer: its easy 0 and 4
Step-by-step explanation:
Answer:
2x - y = 2
Step-by-step explanation:
The first thing to do is find the slope of the line. Slope can be found using:
rise/run
you can count up on the graph then count across on the x-axis until you reach a point on the line
If you start on -2, you'll count up 2 then go across 1 to land on point (1,0)
So your slope is 2/1 which is just 2
Another thing to note is that your line intercepts at point (0,-2)
With this information, we can create an equation for the line that is in slope intercept form:
y = mx + b
m = slope
b =y- intercept
y = 2x - 2
HOWEVER, the question asks for this to be in standard form, so we have to get x on the right side of the expression and make sure the first and last values are positive:
y = 2x - 2
-2x -2x
-2x + y = -2
/-1 /-1
2x - y = 2
I WILL BRAINIEST!!!
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
What is the joint relative frequency of students who use a mobile device in an online class?
Answer: 32%
Step-by-step explanation:
The reason on why this answer is 32% is because in order to calculate joint relative frequency, you must have two values.
The first value is the one the question is asking you about. For this, it's mobile device in online classes, which is 64 on the table. Simply divide this number by the total of the table, which is normally on the bottom right. In this case, it's 200.
Now all that needs to be done is this:
\(\frac{64}{200}\) = 0.32, which is 32%.
The answer is 32%, C.
The joint relative frequency of students who use a mobile device in an online class will be 32% as the "Student who use a mobile device in online class=64 and total students=200".
What is joint relative frequency?The ratio of a frequency that is not in the total row or column to the total number of values or observations is known as joint relative frequency. In a two-way frequency table, the marginal frequency is the entry in the "total" for the column and the "total" for the row. These are the frequencies in a given category divided by the total number of data values. The term "joint frequency" refers to the joining of one variable from the row and one variable from the column. The ratio of the frequency in a specific category to the total number of data values is known as joint relative frequency.
Here,
Title Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
The joint relative frequency of students who use a mobile device in an online class,
Student who use a mobile device in online class=64
Total students=200
64/200=0.32
0.32*100=32%
As "Students who use a mobile device in an online class=64 and total students=200," the joint relative frequency of students who use a mobile device in an online class will be 32%.
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For every two-dimensional set C contained in R^2 for which the integral exists, let Q(C)=∬c(x^2+y^2dxdy)
If C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1} C2 ={(x,y):−1≤x≤1,−1≤y≤1} and C3 = {(x,y):x^2 + y^2 ≤1}, find Q (C1), Q(C2), Q (C3)
The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.
For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.
Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).
C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}
Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.
C2 ={(x,y):−1≤x≤1,−1≤y≤1}
Q(C2) = Q(C1) = 4.
C3 = {(x,y):x^2 + y^2 ≤1}
Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.
In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
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The endpoints of a diameter of a circle are (7,-4) and (-3,2).
What is the equation of the circle in standard form?
Answer:
Step-by-step explanation:
-21x - 8y = 0
Company A has 18 machines that each produce t toy cars per hour. Company B has 15 machines that each produce 75 more toy cars per hour than each of Company A’s machines. In order for the companies to produce an equal number of toy cars, how many toy cars does each machine at Company A need to produce per hour?
Write an equation that can be used to solve the problem.
Part B
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Incorrect
2 tries left. Please try again.
Fill in the blank question.
Company A’s machines each produce
toy cars per hour.
Company B’s machines each produce
toy cars per hour.
The system of equations is solved and the number of toy cars of each machine of Company A should produce to have equal number of toy cars is t = 375 toys
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of toy cars produced by Company A be A
Let the number of toy cars produced by Company B be B
The number of machines for A = 18 machines
The number of machines for B = 15 machines
The number of toy cars produced by A = t cars
The number of toy cars produced by B = 75 + t
And ,
The total number of toy cars of A = 18 x t
The total number of toy cars of B = 15 ( 75 + t )
So , in order for both the company's to have the same toys is
18t = 15 ( 75 + t )
On simplifying the equation , we get
18t = 1125 + 15t
Subtracting 15t on both sides of the equation , we get
3t = 1125
Divide by 3 on both sides of the equation , we get
t = 375 toys
Hence , the equations is A = 18t and B = 15 ( 75 + t )
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What is the most important characteristic of a correlation coefficient?
a. number of variables included
b. absolute value
c. one tailed
d. two tailed
Answer:
The most important characteristic of a correlation coefficient is the absolute value.
The absolute value of a correlation coefficient represents the strength of the relationship between two variables, regardless of the direction of the relationship. A correlation coefficient can range from -1 to +1, where a value of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases), a value of +1 indicates a perfect positive correlation (i.e., as one variable increases, the other also increases), and a value of 0 indicates no correlation (i.e., there is no relationship between the variables).
The most important characteristic of a correlation coefficient is the absolute value.
The absolute value of the correlation coefficient represents the strength of the relationship between two variables, regardless of its direction. It indicates the degree to which the variables are associated with each other.
By focusing on the absolute value, we can assess the magnitude of the correlation without being influenced by whether it is positive or negative. For example, a correlation coefficient of -0.8 or +0.8 both indicate a strong relationship, while a correlation coefficient of 0 suggests no relationship.
The number of variables included is not a characteristic of the correlation coefficient itself, but rather a consideration in the analysis. One-tailed and two-tailed refer to the type of hypothesis being tested and are relevant in statistical testing. However, the absolute value of the correlation coefficient is crucial in determining the strength of the relationship between variables, making it the most important characteristic to assess in correlation analysis.
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the spinner shown is
Answer:
where is the spinner
Step-by-step explanation:
Solve the following:
a) 4x-3 = 2x + 7
b)
2x+6=7x14
\(\huge \qquad \qquad \sf \underline{Answer}\)
\( \textbf {Let's Solve :}\)
Question 1 :
\(\textsf{4x - 3 = 2x +7}\)\(\textsf{4x -2x = 3 +7}\)\(\textsf{2x = 10}\)\(\textsf{x=5}\)Question 2 :\(\sf{2x + 6 = 7 \times 14}\)\(\sf{2x + 6 = 98}\)\(\sf{2x = 98-6}\)\(\sf{2x = 92}\)\(\sf{x=46}\)
Identify the triangle as scalene isosceles or equilateral A(0,-4) B(0,-9) C(-2,-5)
The triangle that has the coordinates as A(0,-4) B(0,-9) C(-2,-5) is; A scalene Triangle
How to find the distance between two coordinates?The formula for the distance between two coordinates is;
D = √[(y₂ - y₁)² + (x₂ - x₁)²]
Thus;
Distance AB = √[(-9 + 4)² + (0 - 0)²]
Distance AB = √25
Distance AB = 5
Distance BC = √[(-5 + 9)² + (-2 - 0)²]
Distance BC = √20
Distance CA = √[(-4 + 5)² + (-2 - 0)²]
Distance CA = √5
Since the three sides all have different lengths, then they the triangle is said to be a scalene triangle.
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melanie spent half of her allowance going to the movies. Then, she washed the family car and warned $10. what is her weekly allowance is she ended up with $22.50.
The weekly allowance of Melanie that she ended up is $65 by solving the equation formed according to the question.
What is an equation?An equation is a mathematical statement that shows that two expressions are equal. It typically contains one or more variables and can be written using mathematical symbols such as addition, subtraction, multiplication, division, and exponentiation. An equation can also contain mathematical functions, constants, and other mathematical operations.
What are mathematical functions?In mathematics, a function is a rule that assigns each element in one set, called the domain, to a unique element in another set, called the range or codomain. In other words, a function is a relation between two sets where each element in the domain is mapped to a unique element in the range.
Let's assume that Melanie's weekly allowance is "x".
According to the problem, Melanie spent half of her allowance going to the movies. So, she spent (1/2)x dollars at the movies.
Then, she earned $10 by washing the family car.
Therefore, her total spending is (1/2)x + $10.
Since she ended up with $22.50, we can set up an equation:
x - [(1/2)x + $10] = $22.50
Simplifying this equation, we get:
(1/2)x = $32.50
Multiplying both sides by 2, we get:
x = $65
Therefore, Melanie's weekly allowance is $65.
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can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Yes it is proportional
Step-by-step explanation:
Notice how when x goes up 1 y goes up by 1.6. There is a pattern, if there is no pattern then you would see that numbers either go up or down with no pattern.
What’s the transformations from y= x^2 for the following equation: h(x)= 2(x-5)-8
Combine like terms:
-w^3+8-2w^3-10
Answer:
Step-by-step explanation:
3w^3-2
-w^3 + 8 - 2w^3 - 10 (collect like terms)
-3w^3 + 8 - 10 (calculate)
solution : -3w^3 - 2
an2-25art 2 10) Which fraction represents 72-7-20 eXP expressed in simplest form? 2) X-5 X-4 3) x+5 4+4 4) 25 X + 20
The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)
A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.
Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)
x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)
Factoring x^2 – x – 20,
x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)
Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:
(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)
Note: The question is incomplete. The complete question probably is: What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)
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What is the surface area of the rectangular pyramid below?
Answer: 363
Step-by-step explanation:
First you’d do 11 X 11=121 divide by 2 and get 60.5 X 4 (Because there are for triangle sides) and get 242 plus the rectangular base 11X11=121+242=363
I need help with these two problems.
Write in slope intercept form.
Through (2,2) and parallel to y=x+4.
Through (3,4) and perpend to y=-2x-4
Answer:
the equation is - \(y=x\)
Explanation:
Given -
\(y=x+4\)
We have to find a line passing through the point \((2,2)\) nd parallel to the given line.
Find the slope of the given line.
It is the coefficeint of \(x\)
m₁ = 1
The two lines are parallel. Hence
m₂=m₁=1 Where m₂is the slope of the second line.
You have slope and the points \((2,2)\)
Find the Y intercept
\(y=mx+c\\2=(1)(2)+C\\2=2+C\\C=2-2=0\)
Y-Intercept \(C=0\) and slope m₂=1
Fix the equation
\(y=x\)
I need help with this asap please
Answer: C
Step-by-step explanation:
-2 and 2 add up to 0
Answer:
c
Step-by-step explanation:
-2 + 2 =0
Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name
Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.
what are the factor of 96
Answer:
Step-by-step explanation:
Image result for what is the factor of 96
96 is a composite number. 96 = 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12. Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Prime factorization: 96 = 2 x 2 x 2 x 2 x 2 x 3, which can also be written as 2⁵ x 3
plz like and branlistz
what is the relationship between the amplitude of light of light waves and brightness
Answer: The amplitude of light waves is associated with our experience of brightness or intensity of color, with larger amplitudes appearing brighter.
Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.
A uniform density curve is at y = StartFraction 1 Over 20 EndFraction.
Company policy requires employees to be less than 12 minutes late for work. What percentage of the time will Oliver meet company policy?
6.7%
10%
60%
90%
Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.
From the complete information, the probability distribution will be:
= 1/(b - a) = 1/(30 - 10) = 1/20
Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:
= (12 - 10) × 1/20
= 2 × 1/20
= 1/10
= 10%
In conclusion, the correct option is 10%.
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Which statement below best applies to the following expression?
Answer:
A.
Step-by-step explanation:
Radical expressions can only be simplified if their radicands are identical.
What is the probability that a random sample of 400 U.S. adults will provide a sample proportion () that is within 0.09 of the population proportion ()? Group of answer choices 99.968% 0.032% 16% 84%
To determine the probability that a random sample of 400 U.S. adults will provide a sample proportion within 0.09 of the population proportion, we can use the concept of margin of error and the Central Limit Theorem.
The Central Limit Theorem states that the distribution of sample proportions approaches a normal distribution as the sample size increases, given that the sample size is sufficiently large (typically n ≥ 30). In this case, our sample size is 400, which is large enough.
To find the margin of error, we can use the formula: E = Z * sqrt(p * (1 - p) / n), where E is the margin of error, Z is the Z-score corresponding to the desired level of confidence, p is the population proportion, and n is the sample size.
In this problem, we are given the margin of error as 0.09. Unfortunately, we don't have enough information to determine the exact Z-score or the population proportion (p). However, we can still analyze the given answer choices: 99.968%, 0.032%, 16%, and 84%.
Considering that our margin of error is 0.09 and our sample size is sufficiently large, it's highly likely that the sample proportion will fall within this range. Thus, the correct answer should be the highest probability among the given choices, which is 99.968%.
In conclusion, the probability that a random sample of 400 U.S. adults will provide a sample proportion within 0.09 of the population proportion is approximately 99.968%.
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What is the usefulness of Cluster Analysis? What is Hierarchical
Clustering? Give examples.
Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.
It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.
For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.
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How many gallons of gas would it take to drive 13,500 miles? (URGENT)
Answer:
24 gallons :)
Step-by-step explanation:
please help me, i'm not smart
Answer:
i think c
Step-by-step explanation:
Answer:C
Step-by-step explanation:
(y^3)^2
=y^3*2
=y^6
So therefore, the one that contained y^6 is the answer which is C.
By the way, you’re really smart
what is the y intercept for y=4x+3
Answer:
3
Step-by-step explanation:
(0,3)
BRAINLIEST EASY 6TH GRADE MATH HELP PLS (decimals)
An animal shelter with only dogs and cats has a ratio of cats to dogs thats 9:7. What is the ratio of dogs to all animals?
The ratio of dogs to all animals is 7:16.
The total ratio of cats and dogs is 9 + 7 = 16.
The number of dogs present in the shelter is 7k, where k is a positive integer.
The number of cats present in the shelter is 9k, where k is a positive integer.
The total number of animals present in the shelter is 7k + 9k = 16k.
Therefore, the ratio of dogs to all animals is 7k : 16k, which simplifies to 7 : 16.
An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.
The ratio of dogs to all animals is 7:16.
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