Answer:
Average monthly interest = $ 122.04
% total interest =36.94 %
Step-by-step explanation:
There are 120 cumulative payments and the total interest paid was $ 14,644.95.
Hence, the average monthly interest is :
Average monthly interest = $ 14,644.95 / 120
Average monthly interest = $ 122.04
% total interest
= ($ 14,644.95) / $ 39,644.95 x 100
% total interest =36.94 %
True or false? the interval [1,2] contains exactly two numbers - the numbers 1 and 2.
The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.
How to write and represent an interval?An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.
Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).
If the interval is within a square bracket, then the end values are included in the set of values.If the interval is within parenthesis, then the end values are not included in the set of values.The square brackets represent the inequalities - 'greater than or equal or 'less than or equalThe parenthesis represents the inequalities - 'greater than' or 'less thanFinding true or false:The given interval is [1, 2]
The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'
The given statement is 'false'.
This is beacuse, an interval consists set of all the real values in between the two values given.
So, according to the definition, there are not only the end values but also many real values in between them.
Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.
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Enter an equation that represents the data in the table.
x 3 5 8 10
y 15 25 40 50
An equation is y
Assume that all taxes in the economy are autonomous totalling 70 million, autonomous consumption is 75 million, and the marginal propensity to save is 0.5.
What is the level of consumption when the level of income is 850?
The level of consumption when the level of income is 850 million is 500 million. We need to use the formula for consumption function, which is C = A + bY, where C is consumption, A is autonomous consumption, b is the marginal propensity to consume, and Y is income.
In this case, we are given that autonomous consumption is 75 million and the marginal propensity to save is 0.5. Since the marginal propensity to consume (MPC) and the marginal propensity to save (MPS) add up to one, we can calculate the marginal propensity to consume as follows:
MPC = 1 - MPS
MPC = 1 - 0.5
MPC = 0.5
Therefore, the consumption function can be written as: C = 75 + 0.5Y
To find the level of consumption when the level of income is 850, we can substitute Y = 850 into the consumption function:
C = 75 + 0.5(850)
C = 75 + 425
C = 500
So the level of consumption when the level of income is 850 is 500 million. In summary, the answer to the question is that the level of consumption when the level of income is 850 is 500 million.
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16. One point on the line described by y=-2x + 3
is shown below. Use your knowledge of slope to
give the coordinates of three more points on the
line.
The points on a line are the true values of the graph of the line
A point on the line is (1,1)
The equation of the line is given as:
\(\mathbf{y = -2x + 3}\)
To determine a point on the line, we assume a value for x.
Assume x = 1.
So, we have:
\(\mathbf{y = -2(1) + 3}\)
\(\mathbf{y = -2 + 3}\)
\(\mathbf{y = 1}\)
Hence, a point on the line is (1,1)
Note that there are other points on the line.
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There were 7200 cars involved in a survey. 17% were driven by women. a What percentage were driven by men? b How many were driven by men?
Answer:
83%
Step-by-step explanation:
Percentage of cars driven by man = total percentage - percentage of car driven by women
= 100-17
= 83%
What is the Answer please help fast
Answer:
it increases
Step-by-step explanation:
hope this helps <3
Answer:
The answer is it increases
Step-by-step explanation:
m^2− 5m − 14 = 0 wht is it
Answer:
Uhmmm You Didn't Say The Formula...
consider a binary max-heap implemented using an array. which one of the following array represents a binary max-heap?
Max heaps that follow the binary tree structure are popularly utilized in sorting methods such as heap sort and priority queues.
The correct answer is B.
A complete binary tree-based data structure known as a binary max heap exists.
The following attributes can be attributed to it:
The binary max heap is a complete binary tree that's completely filled at all levels except for the last level, which may not be completely filled and is filled from left to right.
The Heap Property is defined as follows: the value of any node must be equal to or greater than that of its children. Simply put, the highest value is stored in the root node of the heap.
Max heaps that follow the binary tree structure are popularly utilized in sorting methods such as heap sort and priority queues.
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In project network analysis, slack refers to the difference between:
Observed and predicted times
Optimistic and pessimistic times
Latest finish and latest start times
Earliest finish and earliest start times
Latest start and earliest start times
Slack represents the buffer or flexibility available in the project schedule, allowing for adjustments and potential delays without affecting the project's critical path.
In project network analysis, slack refers to the difference between the latest start and earliest start times of an activity. It represents the amount of time that an activity can be delayed without affecting the overall project duration.
The latest start time (LS) is the latest point in time an activity can start without delaying the project completion. It is determined by considering the dependencies and constraints of the project schedule. The earliest start time (ES) is the earliest possible point in time an activity can start based on its dependencies and the project schedule.
By subtracting the earliest start time from the latest start time, we calculate the slack or float of an activity. If an activity has positive slack, it means there is flexibility in its start time, and it can be delayed without impacting the project's critical path or completion date. On the other hand, if the slack is zero or negative, it indicates that any delay in the activity will affect the project's overall duration, making it critical.
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Find the area of the chape giving… pls help me
Answer:
Area = 8 sq cm
Step-by-step explanation:
This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:
base × height.
We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.
Area = b × h
= 4 × 2
= 8
The area is 8 sq cm.
You randomly select one card from a 52-card deck. find the probability of selecting a red six or a black king.
The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).
There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.
Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.
Since there are 52 cards in a deck, the total number of possible outcomes is 52.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13
Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
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Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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in a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a standard deviation of 3.2 hours. find the 95% confidence interval. group of answer choices (22.66, 26.94) (24.10, 25.50) (22.12, 27.48) (21.60, 28.00)
Option C is the correct answer. The 95% confidence interval is (22.12,27.48)
A confidence interval is defined as the mean of the estimation of the plus and minus is the variation in estimation, and if the confidence interval does not include the value of zero effect, then it can be determined as the significant result.
It also embraces the value of no difference between treatments that are indicating to the treatment under investigation that is not significantly different from the control.
The given data is:
Significance level:
\(α=1-0.95=0.05\)
Sample size n= 8, so we use a t-test.
Critical values using t-distribution:
\( \frac{t_{n} - 1 \alpha }{2} = t_{7} .0.025 = 2.365\)
Sample mean,
\(x=24.8\)
Standard deviation,
\(σ=3.2 hours\)
The confidence interval for population means is given by:-
\(x±tₙ₋₁,α/₂σ/√n\\
24.8±(2.365)32/√8 \\
24.8±2.6756 \\
24.8±2.68 \\
24.8-2.68, 24.8+2.68 =22.12,27.48\)
Hence, the 95% confidence interval, is normally distributed in the interval of (22.12, 27.48)
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curly hair (h) is a dominant trait to straight hair (h). a parent that is heterozygous is crossed with a straight haired parent. if these parents have 6 kids, how many will have straight hair? complete a punnett square to support your answer.
Using Punnett square, If parents with heterozygous and straight hair are crossed then out of their 6 kids 3 of them will have straight hair.
If one parent has curly hair and is heterozygous (Cc) and the other parent has straight hair (cc), the Punnett square for their offspring would look like this:
\($$\begin{matrix} & C & c \\ c & Cc & cc \\ c & Cc & cc \end{matrix}$$\)
Each box in the Punnett square represents the possible genotype of an offspring, where C represents the dominant curly hair allele and c represents the recessive straight hair allele.
From this Punnett square, we can see that 50% of the offspring will inherit one C allele from the curly-haired parent and one c allele from the straight-haired parent, making them carriers of the curly hair allele (Cc). The other 50% will inherit one c allele from each parent, making them homozygous recessive for straight hair (cc).
Therefore, out of 6 kids, we can expect 50% or 3 of them to have straight hair.
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Six cousins inherited a total of StartFraction 5 Over 8 EndFraction of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
Answer:
For us to determine the answer to this item, we simply have to divide the given fraction of the great aunt’s property that is to be divided among the cousins by 6.
N = 5/8 / 6
The value of N in the equation is 5/48 or 0.104. Thus, each of the cousins will receive 10% of the great aunt’s property.
Answer:
5/48
Step-by-step explanation:
(5/8) / 6
What is the difference between repressed and recovered memories?
Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.
Recovered memory:
The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.
Repressed Memory:
Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.
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Allison gas a poster that is 15 in by 18 in. what will the dimension of the Poster be if she scales it down by a factor pf 1/3
The new dimensions of the poster will be 5 in by 6 in.
What is scaling?In mathematics, scaling is the process of adjusting a geometric form or figure's size by a predetermined factor or ratio. With scaling, a shape's dimensions are all multiplied by the same quantity. Depending on whether the scaling factor is more than 1 or less than 1, respectively, scaling can either make the form larger or smaller. In addition to science, engineering, and computer graphics, scaling is frequently utilised in trigonometry, geometry, and other areas of mathematics.
Given that the scale factor = 1/3.
Thus, the new dimensions are:
New length = 15 in x (1/3) = 5 in
New width = 18 in x (1/3) = 6 in
Hence, the new dimensions of the poster will be 5 in by 6 in.
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The odds against an event are 5 to 13. Find the probability that the event will occur.
It is given that the odd against an event are 5 to 13.
The probability that the event will occur is
\(P=\frac{13}{13+5}=\frac{13}{18}\)Lincoln drives 15 miles in 12 minutes. If he drove one hour in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Lincoln drive in total?
Answer: Lincoln drove 15 miles in 12 minutes, so he drove a total of 60 minutes because 60/12 = 5.
Thus, Lincoln drove a total of 15 * 5 = 75 miles.
Step-by-step explanation:
An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for chairs? Enter your answer in the box. $_____________
Answer:
so each chair will cost 205
205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order
the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered
34*205= 6970
the total cost will be 6970
Convert 46.1031 to Four significant figures
The required converted number is 46.10 which is 46.1031 rounded to four significant figures.
What is the place value strategy?Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.
To convert 46.1031 to four significant figures, we must first identify the four most significant digits. In this case, the four most significant digits are 46.10.
To express 46.1031 in four significant figures, we round it to 46.10.
Therefore, 46.1031 rounded to four significant figures is 46.10.
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Find a zero of the polynomial 2x-1
I need help not bad like ASAP but need help
Select the correct answer. Simplify the polynomial expression. 3x(-2x+7) -5(x-1)(4x-3)
Answer:
The simplified form is -26x^2 + 56x -15
Step-by-step explanation:
We need to solve the expression:
3x(-2x+7)-5(x-1)(4x-3)
Multiplying the terms outside the bracket with the terms inside the bracket.
=-6x^2+21x-5(x(4x-3) -1(4x-3))
= -6x^2+21x-5(4x^2-3x-4x+3)
= -6x^2+21x-5(4x^2-7x+3)
Now multiply -5 with the terms inside the bracket
= -6x^2+21x -20x^2 +35x -15
Now, Combining the like terms:
= -6x^2 -20x^2 +21x+35x -15
Adding the like terms
= -26x^2 + 56x -15
So, the simplified form is -26x^2 + 56x -15
-26^2+56x-15 yea that should be the answer
Are angles 1 and angle 4 vertical? Are angles 3 and angle 5 vertical?
Answer:
All of them are not vertical angles.
Step-by-step explanation:
Because they are not directly vertical from each other.
The cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set. T/F
True. The cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set.
The cartesian product of two sets A and B, denoted by A × B, is the set of all possible ordered pairs where the first element comes from set A and the second element comes from set B. In other words, each element in set A is combined with every element in set B to form a pair.
For example, let A = {1, 2} and B = {3, 4}. The cartesian product A × B would be {(1, 3), (1, 4), (2, 3), (2, 4)}, which includes all possible combinations of elements from A and B.
The cartesian product is a fundamental concept in set theory and plays a crucial role in various areas of mathematics, including algebra, combinatorics, and geometry. It allows for the systematic exploration of all possible combinations between sets and is often used in defining relations, functions, and mappings between different mathematical structures.
Therefore, it is true that the cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set.
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a bag contains 2 red, 7 black, and 8 white balls. three balls are drawn, without replacement. what is the probability that one of each color is drawn? (enter your probability as a fraction.)
14/85 is the probability that one of each color is drawn.
How does probability explain work?
How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.Statistics is the study of events subject to probability.Red balls = 2
black balls = 7
white balls = 8
total balls = 2 + 7 + 8 = 17
p( one ball from each color = ²C₁ * ⁷C₁ * ⁸C₁/ ¹⁷C₃
= 2 * 7 * 8//680
= 14/85
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4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets?
Answer:
$132
Step-by-step explanation:
48÷4=12 so 12 times 11 equals 132
An appropriate domain of the function is x ≥ 0, where the x-values are
A. real numbers
B. whole numbers
C. Rational numbers
Answer: i think the awnser to your question is A real number
Step-by-step explanation:
Taking the absolute value of a number, whether it's negative or positive, always returns either a positive value or zero.
Let's say we have a number line with the point A on it. Think of the absolute value of A as the distance between point A and zero. Since the distance cannot be negative, the absolute value will always return a positive value.
A positive number is always greater than zero, and zero is equal to zero. Therefore, the answer is True.
n a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $32 and standard deviation of $15. Construct a confidence interval at a 90% confidence level. Enter your answer as an interval (i.e., parentheses) accurate to one decimal place. Confidence interval =
Answer:
($29.698276497364876985)
Step-by-step explanation:
i actually dont know but thnks for the points BTW