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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Fluency and skills practice lesson 28 finding volume answer key
An example of Fluency and skills practice questions is "What does being fluent with a math skill mean to you?
What is Fluency?This is a term that connote is one's capability to be able to read with ease and fast, been accurate and having the right diction.
The question of what being fluent with a math skill mean to you is that it mean a lot to me as if I am fluent in math, I can be able to answer any difficult questions in math and then apply those skills in problem solving in real life.
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Which example best illustrates the role of the legislative branch in national security? the united states meets with other leaders to negotiate a trade treaty. The federal government votes on a budget to provide safety and security. The federal government has different agencies that protect the nation. The courts determine whether a new law related to security is constitutional
The example which best illustrates the role of the legislative branch in national security is: A. united states meets with other leaders to negotiate a trade treaty.
What is the legislative branch?Legislative branch can be defined as one of the three branch (arm) of government that is saddled with the responsibility of creating and enacting laws in a particular country.
In the area of national security, an example which best illustrates the role of the legislative branch is the United States of America meeting with other world leaders to negotiate a trade treaty, so as to foster the buying and selling of goods among them.
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Answer:
Its B.
Explanation:
Edge
with the exception of one or two news stations, there is not much credible evidence that any particular mainstream news source is explicitly biased in one direction or the other in terms of its news coverage.
There is credible evidence that mainstream news source is explicitly biased in one direction or the other in terms of its news coverage is a true statement.
What is the role of overriding bias in the news?Research has shown that there is overriding bias in the news where it goes to one direction of stories with the aim of getting the largest audience.
Note that media bias is said to be a deliberate or unintentional bending of news reporting toward one direction as a result of political views, etc.
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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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Describe what these people are doing or feeling using an expression with tener
People often feel receptive or possessive when using an expression with tener.
What is a tener expression?The Spanish verb "tener" is known to be a term that connotes, to have or possess.
Note that the term is often used in a lot of ways such as "to accommodate", "to experience", "to hold", etc.
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A rod is laid out along the x-axis with one end at the origin and the other end at x = l. the linear density is given by the following: rho(x) = rho0+(rho1-rho0)(x/l)2, where rho0 and rho1 are constant values.
The center of mass of the rod of length L whose mass density changes from one end to the other quadratically is; X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
What is the center of mass?The formula for the center of mass of a body is defined as;
X_cm = (1/M) ∫r.dm
Where;
X_cm is the position of the center of mass
M is the total mass of the body
r is the position with respect to an origin
The density of a body is the relationship between two of its magnitudes that change constantly and so we have;
ρ = m/x
Applying small changes and we have;
ρ = dm / dx
dm = ρ*dx
We are given the expression;
ρ₀ = ρ₀ + (ρ₁ -ρ₀) (x/L)²
Thus;
dm = (ρ₀ + (ρ₁ -ρ₀) (x/L)²)dx
Since the whole system is on the x-axis, we integrate from the initial point x = 0 to the upper limit X = L. This gives;
X_cm = M⁻¹ ∫ x [ρ₀ + ( ρ₁-ρ₀) (x/L)²] dx
X_cm = M⁻¹ [∫ ρ₀ x dx + I (ρ₁-ρ₀) / L² x³ dx]
X_cm = M⁻¹ [ρ₀ x²/ + (ρ₁ -ρ₀) / L² x⁴/4]
X_cm = M⁻¹ [ρ₀/2 (L2-0) + (ρ₀₁ -ρ₀) /4L² (L⁴-0)
X_cm = M⁻¹ [ρ₀ L²/2 + (ρ₁ -ρ₀)/4 L²]
X_cm = M⁻¹ L² [ρ₀/4 + ρ₁/4]
X_cm = M⁻¹ L²/4 ( ρ₀ +ρ₁)
The only parameter that we don't know explicitly is the total mass, but we can look for their relationship using the concept of density.
M = ∫dm = ∫ρ.dx
M = ∫[ρ₀ + (ρ₁ -ρ₀)/L²x²] dx
We integrate between the limits of integration x = 0 and x = L to get;
M = ρ₀ x + (ρ₁ -ρ₀)/L² *x³/3
M = ρ₀ L + (ρ₁ -ρ₀)/3L² L³
M = ρ₀ L + (ρ₁-ρ₀)/3 L
M = L(ρ₀ + ρ₁/3 -ρ₀/3)
M = L(2/3 ρ₀ + ρ₁/3)
M = ¹/₃L(2ρ₀ + ρ₁)
We will replace and simplify in the center of mass equation to get;
X_cm = ¹/₄L²[ρ₀ + ρ₁] / [L/3 (2ρ₀ + ρ₀)/L]
X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
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The combustion of ethane in the presence of excess oxygen yields carbon dioxide and water: 2c2h6 (g) + 7o2 (g) → 4co2 (g) + 6h2o (l) the value of δs° for this reaction is ________ j/k⋅mol.
The value of entropy change (δs°) for this chemical reaction is equal to -620.4 J/molK.
What is entropy change?The entropy change of a chemical reaction can be defined as the difference between the total entropy change that is associated with the products and the total entropy change for the reactants.
In Chemistry, the standard entropy of formation for the given chemical compounds and element are:
[tex]S_{O^2}= 205\;J/molK[/tex]
[tex]S_{C_2H_6}= 229.6\;J/molK[/tex]
[tex]S_{H_2O}= 69.9\;J/molK[/tex]
[tex]S_{CO_2}= 213.6\;J/molK[/tex]
Mathematically, the entropy change of a chemical reaction is given by this expression:
[tex]\Delta S_{rxn}=\sum [n \times products]-\sum [n \times reactants]\\\\\Delta S_{rxn}=\sum [4S_{CO_2}+ 6S_{H_2O}]-\sum [2S_{C_2H_6}+ 7S_{O_2}]\\\\\Delta S_{rxn}=\sum [(4\times 213.6) + (6 \times 69.9)]-\sum [(2\times 229.6) + (7 \times 205)]\\\\\Delta S_{rxn}=\sum [854.4 + 419.4]-\sum [459.2 +1435]\\\\\Delta S_{rxn}=\sum [1273.8]-\sum [1894.2]\\\\\Delta S_{rxn}=-620.4\;J/molK[/tex]
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what number do u see
Answer:
4628 or 4528
Explanation:
I wear glasses
Sort ideas related to three types of education into the correct categories
The ideas are to be categorized into either the "University or College", "Vocational school" or On-Job training class".
What entails the University or College?Its required two, four or more yearsIts is the most expensive optionIt is required in many field as pre-requisiteWhat entails the Vocational school?Its has technical training emphasisIt is usually two yearsWhat entails the On-Job training class?It is usually for weeks opr monthIt is for specific jobsRead more about education
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Answer:
this is the answer, here is an image that shows that answer
Explanation:
What are your impressions of the following character? is he a strong or weak character? jasper what are his primary characteristics?
My impressions of the characters from the story in his steps are :
Rachel is strong.Her primary characteristics is that she is a beautiful singer.Jasper is a Young writer.What is the term impression about in the text?Impression connote the views or opinions one has concerning a person.
Based on the text, The impressions of the Rachel character is known to be that she has a strong character. Rachel primary characteristics is that she is in her 20's and a beautiful singer at her Church.
Jasper on the other hand is quite a young writer that was in love with Rachel and He also proposed marriage to her.
See full question below
What are your impressions of the following character? Is she a strong or weak character? (from the story in his steps)
Rachel
What are her primary characteristics?
What are your impressions of the following character? Is he a strong or weak character?
Jasper
What are his primary characteristics?
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Suppose a five-year, bond with annual coupons has a price of and a yield to maturity of . what is the bond's coupon rate?
The bond's coupon rate with an annual coupon that has a price of $903.35 and the yield to maturity will be 3.33%.
How to calculate the coupon rate?It should be noted that the formula for calculating the coupon rate is given as:
= Annual coupon / Face value
From the complete question, the annual coupon is $33.30 and the face value is $1000. Therefore, the coupon rate will be:
= Annual coupon / Face value
= 33.30/1000
= 3.33%
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Calculate the number of moles present in 1.29 x 10²⁴ molecules of hf
Answer:
According to Avogadro's number there are atoms present in one mole.
Therefore, we will calculate the number of moles present in atoms as follows.
Number of moles =
= 2.14 mol
Explanation:
How are the three types of corporate combinations usually affected by antitrust policy
Note that not all business organization are affected by antitrust and as such the three types of corporate combinations are usually affected by antitrust policy in terms of market share, vertical merger and others.
What is the aim of an antitrust policy?The antitrust laws are set up to boast and protect competition in business.
The three different types of corporate combinations are:
HorizontalVerticalConglomerate
Companies that are said to be of same phase of production are known to be horizontal combination and that of vertical combination is known to be the kind of merger between companies that said to be of different phases of production of a product.
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Choose the best translation: necklace bolso manga collar botón
Answer: collar
Explanation: trust me
Answer: collar
Explanation: did on edg
How were you able to break down the plot of the story
Read the excerpt from "the charge of the light brigade." cannon to right of them, cannon to left of them, cannon behind them volley’d and thunder’d; storm’d at with shot and shell, while horse and hero fell, they that had fought so well came thro’ the jaws of death, back from the mouth of hell, all that was left of them, left of six hundred. why does tennyson most likely repeat the word "cannon" in the first three lines of the excerpt? to prove that the enemy had a larger store of weapons to identify the primary weapon used in the battle to demonstrate the fear the soldiers must have felt to show that the assault on the soldiers was nonstop
Answer:
Tennyson most likely repeats the word "cannon" in the first three lines of the excerpt to show that the assault on the soldiers was nonstop. By repeating the word "cannon," Tennyson emphasizes the constant barrage of artillery fire the soldiers faced from all sides. This repetition creates a sense of overwhelming and relentless attack, highlighting the danger and intensity of the battle. It also underscores the bravery and resilience of the soldiers who faced such a relentless onslaught.
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)
If two angles are supplementary angles, then both of them are: a) acute angles b) obtuse angles c) right angles d) none of these.
Answer:
right angle
Explanation:
because every right angle is equal to 90°
Sofie claims to be a tasting expert. To test her abilities, someone bakes Sofie a cake using 3 of the following
ingredients:
Coffee Vanilla
Nutmeg Cinnamon
Sea salt
Ginger
Sofie's challenge is to identify which set of 3 ingredients was used in the cake. Suppose that Sofie is just
randomly guessing.
What is the probability that Sofie correctly identifies the set of 3 ingredients in the cake?
Answer:
1/20
Explanation:
The horizontal part of a step is called the tread. the vertical part is called the riser. the recommended riser-to-tread ratio is 7 inches : 11 inches. a. find the value of x for stairs built using the recommended riser-to-tread ratio. round your answer to the nearest tenth.
The value of x for these stairs built by using the recommended riser-to-tread ratio is 32.5°.
Given the following data:
Length of riser = 7 inches.Length of tread = 11 inches.Ratio = 7:11.How to determine the value of x.In Mathematics, a tread refers to the horizontal part of a step while a riser is the vertical part of a step.
Note: Let the angle of inclination be x.
In Geometry, two (2) lines that are parallel have the same alternate interior angles. Thus, the angle of inclination between the riser and tread is given by:
[tex]Tan x = \frac{rise}{tread} \\\\Tan x = \frac{7}{11} \\\\Tan x = 0.6364\\\\x=tan^{-1}0.6364[/tex]
x = 32.5°.
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which of the following is an effect of norepinephrine binding to beta 2 adrenergic receptors?
The effect of norepinephrine binding to beta 2 adrenergic receptors lead to vasodilation.
What is vasodilation?Vasodilation can be defined as the process in which the blood vessels enlarges because the blood vessel is inactive.
Vasolidation can occur due to the following:
ExerciseSide effect of medicationBody temperature etcTherefore when the norepinephrine is binding the blood vessels lead to what is called vasodilation.
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Fill in the blank with the comparative form of the underlined modifier
Answer:
The following are the answers for each questions:
1. It was worse than the movie we saw last week
2. Felipe showed much concern about the poor quality of the movie.
Belinda showed even more concern than Felipe
3. A lot of movies are filmed in New York
Explanation:
Brainlyest pleas
Big ideas math algebra 1 student journal answer key
Answer:
thats not a real question and just look lt up
Explanation:
Which of the statements describes that a quadrilateral is a parallelogram
I don't see the choices, but I will give you some definitions which can hopefully help you
Definition of Parallelogram: a quadrilateral that has two pairs of opposite sides are parallel
Hope that helps!
The volume of a cylinder is 400???? cubic cm and its height is 4 cm.what is the radius?
Answer: 5.64 cm
Explanation:
Volume of a cylinder = π * r^2 * h →
400 = π * r^2 * 4 →
r = 5.64 cm :)
12.3 geometric series evaluate homework and practice
The geometric series would have a uniform common ratio
The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
How to determine the geometric series?Assume the geometric sequence is given as:
128,32,8,2
And the question requires the recursive definition of the geometric series
Start by calculating the common ratio (r)
[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
Substitute 2 for n
[tex]r = \frac{a_2}{a_1}[/tex]
Substitute known values
[tex]r = \frac{128}{32}[/tex]
Evaluate the quotient
[tex]r = 4[/tex]
Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]
Cross multiply
[tex]a_n = 4a_{n-1}[/tex]
Hence, the recursive definition of the geometric series is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
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Big ideas math algebra 2 student journal answer key pdf
An example of Big ideas math algebra 2 study question is Solve for the Given expression is 7.3² + 11.
What is big math algebra?This is known to be a type of math practice or text book that has been design to help student have basic knowledge of algebra.
Using the order of operations, we have to first simplify the exponential term first and later multiply it.
7. 3² + 11 =
=7⋅9+11 ;
=63+11
= 75
Therefore, the answer will be 74.
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Select one issue in our society today how do you apply methods of philosophizing
Answer:
We can apply the method of philosophizing known as "logic and critical thinking" to interpret and determine a truth about racism in our society.
Explanation:
Logic and critical thinking, assesses assumptions and elements of a given problem in society and through the investigation of facts and evidence about that problem it is able to determine whether there is a truth about it and whether we should follow it or not. This method of philosophizing is one of the most ideal and adaptable in our modern society because it uses rationality through evidence and hard facts.
This method can be used to discover truths about racism in our society. Through it we can analyze the origins of racism, how it accompanied the formation of American society and how to conclude from this whether it is still influential and strong today. Critical thinking will show us that racism is still influential as it will show various truths about it and its establishment in modern society.
Since 2000 aaron donald is the only dt to win defensive rookie of the year
Answer:
yes because he is really good
Explanation:
yes
Since Tim Duncan in 1998, a rookie hasn't been selected to one of the NBA's All-Defensive teams. According to Basketball Reference, the former star player for the San Antonio Spurs is one of five first-year players who made the squad.
What Aaron Donald, dt to win defensive rookie of the year?Most-graded rookie defender: Jack Jones of the New England Patriots has earned an exceptional 87.1 overall rating, which is also the highest rating among all NFL cornerbacks.
Five of the other 10 players who had a 20/20 season in their first year went on to win the Rookie of the Year title for their respective leagues. And the other five received significant consideration for the prize, except Ellis Burks, who received zero votes.
People often cite the Baltimore Ravens from 2000 as an example of how defense can win championships. The Ravens defeated their opponents by a score of 4-0 that season.
Therefore, They hold the record for fewest rushing yards against and fewest points surrendered in a season of 16 games, respectively.
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A company produces light bulbs each week. written in scientific notation, which is the best estimate of how many light bulbs the company will make in weeks? light bulbs light bulbs light bulbs light bulbs
The number of light bulbs that the firm will make in 9.36 × 10² weeks is 4.27 × 10^(6) bulbs.
What is Scientific notation?This is known to be the method used to write a figure that very large or very small numbers.
Note that when the company makes a fixed quantity of light bulbs in a week, the amount of light bulbs can only be seen or found by multiplying that quantity by the number of weeks.
4.56 * 10^3 * 9.36 * 10^2
= 42.6816 * 10^5
= 4.26816 * 10^6.
Therefore, The company will produce 4.27 * 10^6 light bulbs in that time frame.
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A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?
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