Abigail has an account that pays 6. 92% simple interest per year and wants to accumulate $5,896 in interest from this account over six years. How much money should Abigail invest in this account to meet this goal? a. $2,448. 02 b. $8,344. 10 c. $14,200. 39 d. $20,096. 67.
Answer:
Correct answer is C) $14.200.39
Explanation:
we know that
The simple interest formula is equal to
I = Prt
P = I / (rt)
where
I is the amount of money in interest
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
in this problem we have
t = 9 years
I = $5,896
P = ?
r = 0.0692
substitute in the formula above
P = 5,896/ (0.0692 ÷ 6) = $14,200.39
therefore
the answer is option C)
$14,200.39
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How many square feet of glass are needed to cover the skywalk floor? (round your final answer to 1 decimal place and any intermediate calculations to 2 decimal places. Be sure to include units. ).
The area of the skywalk floor is the amount of space it occupies
The area of the skywalk floor is 1728.1 square feet
From the complete question, we have the following parameters
The outer diameter is 65 feet
This is represented as: [tex]\mathbf{d_2 = 65}[/tex]
The inner diameter is calculated as follows:
[tex]\mathbf{d_1 = 65 - 2 * 10}[/tex]
[tex]\mathbf{d_1 = 45}[/tex]
So, the area of the skywalk floor is the difference between the areas of the two semicircles.
This is represented as:
[tex]\mathbf{Area = \frac{\pi d_2^2}{4} - \frac{\pi d_1^2}{4}}[/tex]
Rewrite as:
[tex]\mathbf{Area = \frac{\pi}{4}(d_2^2 - d_1^2)}[/tex]
So, we have:
[tex]\mathbf{Area = \frac{3.142}{4}(65^2 - 45^2)}[/tex]
[tex]\mathbf{Area = \frac{3.142}{4}(2200)}[/tex]
Simplify
[tex]\mathbf{Area = 3.142 \times 550}[/tex]
[tex]\mathbf{Area = 1728.1}[/tex]
Hence, the area of the skywalk floor is 1728.1 square feet
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A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day? 80 children 150 children 200 children 320 children.
150 children attended the fair for that day if $900, and 350 people attended the fair, hence option b is correct.
What is the number of children attended the fair?Detailed explanation:
Let's say there are x youngsters and y grownups.
350 persons in all visited the fair, thus.
So, x + y = 350.
In addition, fees per kid are $2 and fees per adult are $3.
Since, $900 is assumed to represent the entire sales.
So, 2x + 3y = 900
Consequently, we have the equation system,
2x + 3y = 900
x + y = 350
Now let's resolve the equations.
x + y = 350 ⇒ y = 350 - x
The result is that 2x + 3y = 900 2x + 3(350 -x) = 900 2x + 1050 - 3x = 900 -x = -150 x = 150.
The result is that y = 350 - x y = 350 - 150 y = 200.
Therefore, As a result, 150 children and 200 adults, respectively, visited the fair.
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Which of the following are primate characteristics? check all that apply.
Answer:
Primates are a diverse group of animals that vary from humans to lemurs and have a variety of characteristics that distinguish them from other mammals. All primates have eyes in the front region of the skull, a big brain compared to body size, a variety of tooth forms and sizes, a high level of intellect, reasonably dexterous hands, and many other traits.
Explanation:
A chamber contains equal molar amounts of c₂h₂, ch₄, and h₂. If the total chamber pressure is 5. 00 atm, then the partial pressure of c₂h₂ is:.
Answer:
I don't know answer what
The partial pressure of c₂h₂ is25 atm.
What is partial pressure?When more than one gas is present in a container, each gas exerts pressure, which is known as partial pressure. Its partial pressure refers to the pressure of any gas inside the container.
Partial pressures can be calculated in one of two ways:
To determine the individual pressure of each gas in a mixture, use PV = nRT. Determine the proportion of pressure from the total pressure that may be assigned to each individual gas by using the mole fraction of each gas.When there is a combination of two or more gases in a given volume, the pressure created by each individual gas in the mixture is expressed using the phrase partial pressure.
The partial pressures of the individual gases make up the total pressure of the gas combination. P1 + P2 + P3 = Ptot = Pi
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In a school 2/3 of the students study a language.
This natural resource was once very abundant in Western Europe and helped power the Industrial Revolution. Question 4 options: Iron Coal Oil Water.
Answer: Its Coal
Explanation: I did the K12 quiz
According to the beginning of wisdom which of the following is not consistent with the old testament.
Answer:
I don't know answer what is
Cierto o falso: Cuando utilices el pretérito, estás hablando de lo que pasó.
Answer:
True
Explanation:
Based on your opinion after reading the text, what is an example of a societal response to crime and deviance?.
Answer:
If a person belonging to a specific region and culture breaks a norm or set of rules that are set by the leaders or his ancestors then it is termed as deviance. While, any person relating to some culture might not think the same. That is due to difference any perception of the different individuals belonging to different cultures and background
Explanation:
While, crime is more related to the universal rules and regulations. As if any person commits a murder, or the criminal is involved in sort of robbery or any of the inhumane activities then he will face the court. So crimes are the offenses which are not associated with any specific culture.
hope this helps if not then i am sorry
What mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 ∘C?.
Answer:
6.740 kg
Explanation:
6.740 kg is the mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 ∘C.
The temperature at which a liquid freezes is known as the freezing point. The freezing point normally rises with increased pressure, much like the melting point does. Combinations and some organic materials, such lipids, have freezing points that are lower than melting points.
The freezing point of a material is the temperature at which a liquid turns into a solid. The liquids' freezing temperatures can be super-cooled much below, postponing the point at which they solidify. The freezing point of water is 0 °C, or 32 °F.
The most common and commonplace example of freezing is the creation of ice cubes in an ice tray when water is placed in the freezer for a period.
Thus, it is 6.740 kg.
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Americium-241 is widely used in smoke detectors. Calculate the amount of americium-241 consumed in a smoke detector (initially containing 5. 00 µg of am) that has been used for one year if the half-life is 433 years.
0.008 μg of americium-241 was consumed in a smoke detector
The half life of a substance is:
[tex]N=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\Where\ N\ is\ the \ amount \ of\ substance\ remaining\ after\ t\ years,\\N_o\ is\ the\ original\ amount, t_\frac{1}{2} \ is\ half\ life.\\\\\\Given\ N_o=5\ \mu g,t=1\ year,t_\frac{1}{2} =433\ years. Hence:\\\\N=5*10^{-6}(\frac{1}{2} )^\frac{1}{433} =4.992\ \mu g[/tex]
The amount consumed = 5 - 4.992 = 0.008 μg
0.008 μg of americium-241 was consumed in a smoke detector.
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What equation is graphed in this figure? y−4=−13(x+2) y−3=13(x+1) y+2=−3(x−1) y−5=3(x−1).
An equation that is graphed in this figure include the following: D. y - 5 = 3(x - 1).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (5 - 2)/(1 - 0)
Slope (m) = 3/1
Slope (m) = 3
At data point (1, 5), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 5 = 3(x - 1)
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Complete Question:
What equation is graphed in this figure?
y − 4 = −1/3 (x + 2)
y − 3 = 1/3 (x + 1)
y + 2 = −3 (x − 1)
y − 5 = 3 (x − 1)
How does a phase change from solid to liquid occur in a substance.
Answer:
As heat is added to solid water, the temperature increases until it reaches 0 °C, the melting point. At this point, the phase change, added heat goes into changing the state from a solid to liquid. Only when this phase change is complete, the temperature can increase .
Solid → Liquid: Melting or fusion
Solid → Gas: Sublimation
Gas → Liquid: Condensation
Explanation:
Antimony (sb) has two stable isotopes with isotopic masses of 120. 9038 u and 122. 9042 u. What is the natural abundance of the heavier isotope?.
Answer:
average Atomic mass of thallium = 204.38
let heavier isotope is x%
204.3833 (100) = x(204.9744) + (100-x) 202.9723
20438.33 = 2.0021x + 20297.23
x= 70.476
correct answer is 70.3%
Explanation:
check the pic
One common attention getter used in a speech introduction is.
Answer:
Asking a question that you want the audience to answer or consider
Explanation:
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Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes. Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?.
The system of inequalities for Julissa can be given as 4x + 2y ≤ 25
and x + y ≥ 8.
What is a system of inequalities?
The system of inequalities is given with the use of the more than inequalities for the correspondence to one variable.
In the given system, the inequalities lies with the grayscale copies, and color copies with the time limit of 25 minutes and minimum number of 8 copies.
Let the number of color copies = x
The time taken to print each color copy = 4 minutes
Thus, the time taken to print x color copies = 4x
Let the number of gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
Thus, the time taken to print y gray scale copy = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies = 25 minutes
So,
4x + 2y ≤ 25
and x + y ≥ 8
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Did you experience spending more time to make a decision.
Answer:
Yes
Explanation:
deciding what to wear to a pre -wedding introduction rites took so much of my time
Involving others in meaningful tasks is an example of which positive leadership quality.
An example of positive leadership quality that typically requires a leader involving others in meaningful tasks is: Delegation.
Leadership can be defined as a strategic process that involves the act of motivating, encouraging and inspiring a group of people (followers or employees) that are under you to become innovative, create positive changes that fosters growth and development, and significantly enhance the success of your business firm or company in the future.
Basically, there are five (5) main types of leadership style and these include:
Transactional leadershipAuthoritarian leadershipParticipative leadershipTransformational leadershipDelegative leadershipA delegative leadership style is also referred to as laissez-faire leadership and it typically involves a leader assigning roles, meaningful tasks or decision-making responsibility to a highly qualified and competent subordinate. Thus, it is a leadership style that assess the unique talent and qualities possessed by each member of a team while involving them in meaningful tasks.
In conclusion, delegation is an example of positive leadership quality that typically requires a leader involving others in meaningful tasks.
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I know you're somewhere out there
Somewhere far away
I want you back, I want you back
My neighbors think I'm crazy
But they don't understand
You're all I had, you're all I had
At night, when the stars light up my room
I sit by myself
Talking to the moon
Trying to get to you
In hopes you're on the other side talking to me too
Or am I a fool who sits alone talking to the moon?
Oh-oh
I'm feeling like I'm famous, the talk of the town
They say I've gone mad
Yeah, I've gone mad
But they don't know what I know
'Cause when the sun goes down, someone's talking back
Yeah, they're talking back, oh
At night, when the stars light up my room
I sit by myself
Talking to the moon
Trying to get to you
In hopes you're on the other side talking to me too
Or am I a fool who sits alone talking to the moon?
Ah-ah, ah-ah, ah-ah
Do you ever hear me calling?
(Ah-ah, ah-ah, ah-ah) oh-oh-oh, oh-oh-oh
'Cause every night, I'm talking to the moon
Still trying to get to you
In hopes you're on the other side talking to me too
Or am I a fool who sits alone talking to the moon?
Oh-oh
I know you're somewhere out there
Somewhere far away
Answer: The song is Talking to the Moon by Bruno Mars.
Answer:
D
Explanation:
what is the question?
The diagram shows the intersections of several straight roads. The avenues run parallel to each other. First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet. Amana walks along Oak from point A to B. To the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft.
Answer:
answer is B 226 ft
Explanation:
because I got it right
Answer:
The above answer is correct - option B. 226 is your answer :D
Explanation:
Here's a screenshot for proof :)
What would happen if you did not have the stapedius and tensor tympani muscles?.
Which lines from the passage present the most likely reason that theodora’s attitude changes?.
The lines from the passage refers to a change in Theodora's attitude towards divorce law.
She made some amendments to the law in order to provide benefit to young girls who are suffering from masculine powers.
She was also against the girls trafficking and she saved young girls from being victim of human trafficking. She was the first ruler to recognize rights of woman.
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why did the mushroom go to the party
uh I don't know why? tell me im really clueless
Which of the following are true about regression with one predictor variable (often called ""simple regression"")? check all that apply.
Answer:
A. The slope describes the amount of change in Y for a one-unit increase in X
B. The regression equation is the line that best fits a set of data as determined by having the least squared error.
Explanation:
Options:
A) The slope describes the amount of change in Y for a one-unit increase in X
B. The regression equation is the line that best fits a set of data as determined by having the least squared error
C. The slope, b, of the regression equation has the same value as r, the estimated correlation
______________________________________________________
The options that are true about regression with one predictor variable include:
A. The slope describes the amount of change in Y for a one-unit increase in XB. The regression equation is the line that best fits a set of data as determined by having the least squared error.Regression simply refers to a statistical measurement which attempts to determine the strength that exists between a dependent variable and the independent variables.
It should be noted that in one predictor variable, the slope describes the amount of change in Y for a one-unit increase in X and the regression equation is the line that best fits a set of data as determined by having the least squared error.
Therefore, the correct answers are A and B.
______________________________________________
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Max is a brand-new father who can’t wait to document his twins’ achievements in their baby books. From earliest to latest, what order should max place these motor development milestones in his twins’ baby books?.
There are different stages of motor learning. They are the cognitive phase, the associative phase, and
the autonomous phase. From earliest to latest, the order that Max should place these motor development milestones in his twins’ baby books are:
Rolling over Sitting without support Crawling on hands and knees Standing well aloneBabies often start to develop motor skills from the center of the body outward and from head to tail.
They often learn to hold their head and neck before they learn to move their arms.
They also learn to move their arms in different directions before they learn to manipulate their fingers.
Motor development can also be known to have in seven stages throughout an individual's life.
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If a dam is installed across a river, what effect will this have on the coastline?.
Answer:
The effects of dams on rivers can have dramatic consequences both upstream and downstream as the natural flow and drainage of the land is altered. One of the most obvious of these effects is a profound altering of the natural sediment load carried by the waters of the previously free-flowing river.
Explanation:
For which pairs of functions is (f circle g) (x)?.
Answer:
Option B is correct. The required composite function where f(g(x)) is x is f (x) = StartFraction 2 Over x EndFraction and g (x) = StartFraction 2 Over x EndFraction
Explanation:
In what ways can you as a filipino reader be affected by such works brainly.
A manager records the number of hours, x, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift? probability distribution hours worked: x probability: p(x) 3 0. 1 4 ? 5 0. 14 6 0. 3 7 2000. 36 8 0. 06 0 1 2 4.
Answer:
c
Explanation:
i took the test rn
From the data that we have here the total number of people that are known to work for 4 hours per shift is 2.
How to solve for the workersThe sum of all of these probabilities would be equal to 1. Hence we would have:
0.1+x+0.14+0.36+0.3+0,06 = 1
x + 0.96 = 1
x = 1 - 0.96
x = 0.04
The total number of people that is said to work for this manager is said to be 50.
50 x 0.04
= 2
Therefore the total number that work at 4 hours per shift is 2.
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