The amount applied to the principal for the third month of a 4-year loan of $50,000 at an interest rate of 10% per year with monthly payments is $865.71.
What is the amount of payment applied to the principal?The amount of the payment applied to the principal in any payment period is the total payment less the interest amount for the payment period.
For example, in this case, the periodic payment is $1,268.13. However, the interest amount for the month is $402.42 ($48,289.98 x 10% x 1/12).
The amount of the payment applied to the principal is $865.71 ($1,268.13 - $402.42).
This can be computed using an online finance calculator that calculates the periodic payment and prepares a monthly payment schedule as below.
Data and Calculations:N (# of periods) = 48 (4 x 12)
I/Y (Interest per year) = 10%
PV (Present Value) = $50,000
FV (Future Value) = $0
Results:
PMT = $1,268.13
Sum of all periodic payments = $60,870.20
Total Interest = $10,870.20
Monthly Schedule
Period PV PMT Interest Principal FV
1 $50,000.00 $1,268.13 $416.67 $851.46 $49,148.54
2 $49,148.54 $1,268.13 $409.57 $858.56 48,289.98
3 $48,289.98 $1,268.13 $402.42 $865.71 $47,424.27
Thus, the amount of the payment applied to the principal is $865.71.
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A hyperbola has vertices (±5, 0) and one focus (6, 0). what is the standard-form equation of the hyperbola?
Answer:
x²/25 - y²/11 = 1
Explanation:
The standard form equation of the hyperbola:
x² / a² - y² / b² = 1
a = 5,
a² = 25
c = 6
c² = a² + b²
36 = 25 + b²
b² = 36 - 25
b² = 11
The amount of money an accountant makes, m, for working h hours can be represented by the equation m=29.4h. what is the constant of proportionality of the equation?
Very small incidents may lead to great achievements
Answer:
True
Explanation:
7-7 skills practice geometric sequences as exponential functions
An example of 7-7 skills practice geometric sequences is Determine if the sequence is arithmetic, geometric, or neither: 1. 1, –5, –11, –17,
What is 7-7 skills practice geometric sequences?This is known to be a practice workbook that is meant to impact some understanding about geometry to students. It is made of exercises and their solutions.
From the above, the function is Arithmetic and it has a common ; there difference of –6.
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in the small intestine, which of the following enzymes breaks down oligosaccharides?
in the small intestine, the enzymes that breaks down oligosaccharides is glucoamylase.
What enzymes break down oligosaccharides ?The enzymes are known to be dextrinase and glucoamylase. They help to break down oligosaccharides.
They are known to be brush border enzymes and they consist of:
MaltaseSucraseLactaseNote that Lactase is not found in most adult humans and when compared to most poly-saccharides, it cannot be digested in the small intestine.
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What does foil stand for in multiplying binomials brainly
Answer:
First
Outer
Inner
Last
Explanation:
Example : (2x + 3)(3x – 1)
First : (2x)(3x) = [tex]6x^{2}[/tex]
Outer : (2x)(-1) = -2x
Inner : (3)(3x) = 9x
Last : (3)(-1) = -3
Expanded equation :
[tex]6x^{2} + 9x - 2x - 3\\\\6x^{2} + 7x - 3[/tex]
What is the main reason sundiata is remembered in legends?
Answer:
Sundiata killed the Soso King, Sumanguru, with a poisoned arrow.
Explanation:
Sundiata killed the Soso King, Sumanguru, with a poisoned arrow.
You are high up in the mountains and boil water to make some tea. however, when you drink your tea, it is not as hot as it should be. you try again and again, but the water is just not hot enough to make a hot cup of tea. which is the best explanation for this result?
Answer:
temperatures are all low on topbof the mountains
Answer:the cold
Explanation:mountains have this thing called an ice cap at the top
A shop that sells fine glassware offers gift wrapping at no extra cost.
A shop that offers gift wrapping at no extra cost is offering promotional strategy.
What is promotional strategy?Promotion strategies are known to be things or services that often influence or stimulate demand for a firm's goods or services.
Note that Promotional strategy is set up so as to inform, persuade, or remind target audiences about a specific products The act of spending money towards free gift wrapping will bring more customers to them.
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How does housman use the structure of the poem to create surprise?
How to prepare for the ap calculus advanced placement examination
Answer:
Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.
Answer:
Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.
Explanation:
A swimsuit is on sale for $ 29.75 . if the original price of the swimsuit is $ 35 , what is the percent of the discount?
The percentage of the discount of the swimsuit with original price of $35 and current price of $29.75 is; 15%
What is the discount percentage?We are given;
Current price of swimsuit = $29.75
Original price of swim suit = $35
Thus;
Difference in price = $35 - $29.75
Difference in price = $5.25
Percentage discount = 5.25/35 * 100%
Percentage discount = 15%
In conclusion, the percentage of the discount of the swimsuit is 15%
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Which of these statements accurately describes the ku klux klan? check any of the boxes that apply. Members tried to hide their identities. The klan supported radical reconstruction. Members attacked african americans and white people. The klan was the only white supremacy group in the south
The statements which accurately describes the Ku Klux Klan is:
Members tried to hide their identities.Members attacked African Americans and White people.What is the Ku Klux Klan?The Ku Klux Klan can be defined as two distinct hate and White supremacist terrorist organization that was founded in 1865 in the United States of America.
The main purpose of the Ku Klux Klan was to suppress and victimize African Americans, especially those that were newly freed as slaves.
In conclusion, the statements which accurately describes the Ku Klux Klan is:
Members tried to hide their identities.Members attacked African Americans and White people.Read more on Ku Klux Klan here: https://brainly.com/question/180449
Answer:
A and C
Explanation:
Members tried to hide their identities.
Members attacked African Americans and white people.
Consider the theme, "making tough choices. " from the point of view of a principal who made school uniforms mandatory, write a one-paragraph letter to parents explaining your decision
The act of making tough choices. "The letter to my parents is written below.
Dear Mum and Dad.
You too are the best gift of life that anyone could ask for. You taught me to always stand for what is right and best for me and as such I have made up my mind to study at UCL. I know its far from Home and you people want me to be closer to home but I have to do this since it has the best facilities that I need for my program. I love you. Please be happy and accept my decision.
Yours lovely
Jane.
What does a tough decision implies?The term tough decision are known to be those decisions that are not easy to do; and thus they requires effort.
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Answer:
I decided to make uniforms mandatory because I believe they will reduce bullying and allow students to focus on what is important in school. I ask that you support my decision and discuss the benefits of uniforms with your children. If you have any questions or concerns, please contact my office.
Explanation:
this was right on edgeunity (make sure to switch up the words if ur using this)
Glencoe math course 1 volume 1 answer key 6th grade pdf
Since this cylinder has a radius of 2 inch, its volume is equal to 25.12 cubic inches.
Given the following data:
Radius of cylinder = 2 inch.Height of can = 2 inch.[tex]\pi =3.14[/tex]What is volume?In Mathematics, volume can be defined as a scalar quantity that is used to express the amount of three-dimensional (3D) space that is occupied by an object such as a cylindrical can, or enclosed by a boundary.
How to calculate the volume.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V = 3.14 \times 2^2 \times 2\\\\V=3.14 \times 4\times 2\\\\V=6.28 \times 4[/tex]
V = 25.12 cubic inches.
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Envisionmath 2.0, additional practice workbook, accelerated grade 7 solutions
An example of Envision math 2.0, additional practice work is how many percussionists in the orchestra of 20% . 60.
What is this math book about?The Envision Math 2. 0 is known to be a kind of additional work that was made for Grade 7 by a man known as Scott Foresman so as to improve the math knowledge of the student.
To solve for the Percentages, note that 20% can still be written as 0.2.
To calculate the number of percussionists, we can say that:
20%.60
=0.2. 60
= 12
Therefore, there are 12 percussionists in the above orchestra.
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What is king’s view of the disorder that is occurring as a result of civil rights demonstrations? it is blocking social progress. It is desirable, as african americans have been suffering injustice for generations it is necessary to the eventual defeat of injustice
Answer:
c
Explanation:
King’s view of the disorder that is occurring as a result of civil rights demonstrations is that It is necessary to the eventual defeat of injustice.
What are civil rights?Civil rights are known to be a key aspect of democracy. They are said to be the rights that guarantees the act of equal social opportunities and protection as viewed under the law putting aside race, color, etc.
Conclusively, King’s opinion in regards to the disorder that is happened as a result of civil rights demonstrations is that It is needed so that they can be able to the defeat of injustice.
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Determine the empirical formula of a compound containing 47. 37 grams of carbon, 10. 59 grams of hydrogen, and 42. 04 grams of oxygen. In an experiment, the molar mass of the compound was determined to be 228. 276 g/mol. What is the molecular formula of the compound? for both questions, show your work or explain how you determined the formulas by giving specific values used in calculations
Considering the definition of empirical formula, the empirical formula is C₃H₈O₂ and the molecular formula is C₉H₂₄O₆.
Definition of empirical formulaThe empirical formula is the simplest expression to represent a chemical compound, which indicates the elements that are present and the minimum proportion in whole numbers that exist between its atoms, that is, the subscripts of chemical formulas are reduced to the most integers. small as possible.
Empirical formula in this caseIn this case, you have:
Carbon (C): 47.37 gramsHydrogen (H): 10.59 gramsOxygen (O): 42.04 gramsThen it is possible to calculate the number of moles of each atom in the molecule, taking into account the corresponding molar mass:
Carbon (C): [tex]\frac{47.37 grams}{12 \frac{g}{mole} }[/tex]= 3.95 molesHydrogen (H): [tex]\frac{10.59 grams}{1 \frac{g}{mole} }[/tex]= 10.59 molesOxygen (O): [tex]\frac{42.04 grams}{16 \frac{g}{mole} }[/tex]= 2.63 molesThe empirical formula must be expressed using whole number relationships, for this the numbers of moles are divided by the smallest result of those obtained. In this case:
Carbon (C): [tex]\frac{3.95 moles}{2.63 moles }[/tex]= 1.5Hydrogen (H): [tex]\frac{10.59 moles}{2.63 moles }[/tex]= 4Oxygen (O): [tex]\frac{2.63 moles}{2.63 moles }[/tex]= 1Finally, since in the empirical formula the numbers of moles must be expressed in whole numbers, the ratio of atoms is multiplied by some number with which everything is obtained in simple whole numbers (in this case by 2):
Carbon (C): 1.5× 2= 3Hydrogen (H): 4× 2= 8Oxygen (O): 1× 2= 2Therefore the C: H: O mole ratio is 3: 8: 2
Finally, the empirical formula is C₃H₈O₂.
Molecular formulaTo obtain the molecular formula you must relate its molecular weight (PMc) with the molecular weight of the empirical formula (PMfe).
PMfe= PM (C₃H₈O₂)= 76 g/mole
The molar mass of the compound (PMc) was determined to be 228.276 g/mol. Dividing this mass PMc by the molar mass of the empirical formula PMfe gives:
228.276 g/mol ÷ 76 g/mole= 3
This means that in the molecular formula there are 3 unit formulas (empirical formulas), so it is necessary to multiply the number of all atoms by 3.
Then, the molecular formula is C₉H₂₄O₆.
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Read this passage from when birds get flu and cows go mad! by john diconsiglio. Hughes was assigned to find infected cow parts at meat processing plants in washington. He remembers the sad look on some owners’ faces when he flashed his badge. If there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. And there was nothing they could do about it," hughes says. The tone in this passage most suggests that hughes is caring. Dedicated. Tense. Focused
The tone of the author in this passage from "When the birds get flu" can be described as caring.
What is the tone?This refers to the general attitude of the author in a text when referring to the subject or topic the author describes. For example, a text about the pandemic might have a pessimistic or optimistic tone.
What is the tone in the excerpt?This excerpt shows a rather caring tone, this is because the author seems to worry about the negative impact of the mad cow disease on farmers. This can be seen in excerpts such as:
"the sad look on some owners’ faces""the business they built from scratch was destroyedLearn more about tone in: https://brainly.com/question/1416982
Answer:
a - caring
Explanation:
the boxplots above summarize two data sets, a and b. which of the following must be true? set a contains more data than set b. the box of set a contains more data than the box of set b. the data in set a have a larger range than the data in set b.
Based on the boxplots, the true statement is that the data in set A have a larger range than the data in set B.
What is a boxplot?Boxplot can be defined as a type of chart that is used to graphically illustrate the five-number summary of the data that are contained in a set with respect to skewness, locality and spread.
Based on the boxplots in the image attached below, we can deduce that the numerical data in set A have a larger range than the numerical data in set B and as such, this is considered to be the true statement.
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In most production environments, _______ will be used as the source of data input.
What is ironic about this excerpt? the ballerina is described as beautiful, but she is actually hideous. the news bulletin being read on the television is about harrison. the ballerina is able to read the news bulletin flawlessly while wearing a mask and handicap bags. the handicaps devised to conceal the ballerina’s strength and beauty actually accentuate them.
Thes statement 'the handicaps devised to conceal the ballerina’s strength and beauty actually accentuate them' is ironic about this excerpt.
What is irony?The irony is a phrase used to express exactly the opposite that words want to indicate about a situation.
Generally, ironies are used by adding humorous effects or emphasis on the declaration and/or expression.
The irony is an excellent literacy resource to think about a situation and/or a given context.
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How would someone use identity information to commit medical identity theft?
Answer: identity theft is usually associated with financial transactions, it also happens in the context of medical care. According to the Federal Trade Commission (FTC), medical identity theft occurs when someone uses another person’s name or insurance information to get medical treatment, prescription drugs or surgery. It also happens when dishonest people work-Ing in a medical setting use another person’s information to submit false bills to insurance companies.
Based on what you have learned, write a short paragraph to serve as the introduction to gandhi’s obituary
Answer:
We are here today to remember the life of Mohandas Gandhi, leader of the Indian independence movement. An assassin cut short Gandhi's life, but we should best remember him not for his death but for the way he chose to live.
Explanation:
Edge
A forest ranger is walking on a path inclined at 5
Gerry bought two apples and five oranges for 4.75 Molly bought four apples and one orange from the same store for 2.75 what is the combined cost of one apple and one orange
Answer:
Try adding the amounts as a start?
Explanation:
I forget how to complete these equations. We went over this back in Algebra 1.
A chair has a mass of 10 kilograms on earth. What is the mass of the chair on mercury?
Answer:
The mass of the chair is 10kg.
Explanation:
The Mass of an object is unaffected by gravity. The Weight of an object is affected by gravity.
Angie sees a hot air balloon in the sky from her spot on the ground
Answer:
cool. do you have the rest of the problem?
Explanation:
Answer:
50.15 ft
Explanation:
done this problem
Hope this helps
7-3 additional practice multiplying special cases envision algebra 1
An example of additional practice multiplying special cases envision algebra 1 is solving Linear equation. An example is given as 4 + (3x-1/2) = 9.
What are special cases envision algebra 1?
Envision Algebra 1 is one type of course that needs a good background on Pre-algebra functions. It is a type of algebra that starts from Linear Equations up to polynomials and factoring.
To solve for the above question, one has to separate the fraction on one side of the equation. This can be done by subtracting 4 from the two sides of the equation.
So, 3x-1/2 = 9 - 4
3x-1/2 = 5
The you have to multiply the 2 sides by using the denomiator 2 and so it will be:
3x-1 = 5 * 2
3x - 1 - 5 * 2
3x - 1 - 10
Then you rearrange like terms together.
3x - 10 + 1
3x = 11
x = 11/3
So therefore, x = 11/3
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What is the slope of the line that passes through the points (6,2) and (4,10)?