The amount of his initial investment is $8361
The complete question says:
Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
The initial investment is the amount required to start a particular project, and the amount of the initial investment can be calculated by using the compound interest formula:
[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
where;
A = amountP = Principalr = interest rate n = number of months∴
[tex]\mathbf{12855.94 = P(1 + \dfrac{0.0431}{12})^{12 \times 10}}[/tex]
[tex]\mathbf{12855.94 = P(1 +0.003591666667)^{120}}[/tex]
[tex]\mathbf{12855.94 = P(1.53760)}[/tex]
[tex]\mathbf{P= \dfrac{12855.94}{(1.53760)} }[/tex]
P = $8361.043
P ≅ $8361
Therefore, we can conclude that the amount of the initial investment is $8361
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Multiple-choice questions on advanced placement exams have five options: a, b, c, d, and e. A random sample of the correct choice on multiple-choice questions on a variety of ap exams1 shows that b was the most common correct choice, with of the questions having b as the answer. Does this provide evidence that b is more likely to be the correct choice than would be expected if all five options were equally likely? show all details of the test. The data are available in apmultiplechoice.
Answer:
the answer would be a
Explanation:
If you have a cb radio, you can turn to channel ___________ and request police assistance.
Based on radio analysis, if you have a CB radio, you can turn to channel Nine (9) and request police assistance.
What is CB Radio?CB Radio is the acronym for Citizen band radio. It is divided into 40 channels.
Each CB radio has channel frequencies between 26.965 to 27.405 MHz.
To request police assistance on CB Radio, one must tune to Channel 9. Channel 9 is designated for Emergency communication, and it has a frequency of 27.065 MHz.
Hence, in this case, it is concluded that the correct answer is "Channel 9."
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Which of the following is true of the capital requirement? check all that apply.
Answer:
Its intended goal is to protect the interests of those who hold equity in the bank.
The amount of capital required depends on the type of assets the bank holds.
Explanation:
edge!!
Earth is slightly closer to the sun in december than it is in june. The force of gravity of the sun on earth in december compared to june is —.
The Earth is known as a spherical body. The force of gravity of the Sun on Earth in June compared to December is slightly smaller.
Earth is simply known to slightly closer to the Sun on one side of its orbit than on the other side.Kepler's second law states that as a planet moves round the Sun, it sweeps out equal areas in equal times.
All the planets do moves around the Sun in nearly the same plane. The Sun is found to be slightly off-center from the middle of each planet's orbit.
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Erikah has just arrived at the funeral.
Answer:
Is this real?
Explanation:
To what extent do covalent compounds conduct electricity?.
Answer:
A covalent bond is formed between non metal atoms, which combine together by sharing electrons. Covalent compounds have no free electrons and no ions so they don't conduct electricity
Explanation:
Answer:
the answer is never
Explanation:
i did the test :)
La probabilidad de que un caballo viva 20 años es 2/3 y la de que una vaca viva 20 años es 3/5, ¿cuál es la probabilidad de que tanto el caballo, como la vaca vivan 20 años?.
Por definición de probabilidad, la probabilidad de que tanto el caballo, como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.
En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.
En este caso, se llama suceso A al evento de que un caballo viva 20 años, mientras que el suceso B será el evento de que una vaca viva 20 años.
La intersección de sucesos es una operación cuyo resultado está compuesto por los sucesos no repetidos y comunes de dos o más conjuntos.
Esto es, la intersección de sucesos {A∩B} es el suceso formado por todos los elementos que son, a la vez, de {A} y {B}. De esta manera, el suceso {A∩B} se verifica cuando ocurren simultáneamente {A} y {B}.
Entonces, se debe calcular la probabilidad de que ocurra A y B al mismo tiempo, considerando que la probabilidad de la intersección de sucesos independientes (la probabilidad de cada uno de ellos no está influida porque el otro suceso ocurra o no, es decir, cuando ambos sucesos no están relacionados):
P(A∩B)= P(A)×P(B)
En este caso, la probabilidad de que ocurra A es [tex]\frac{2}{3}[/tex] y la probabilidad de que ocurra B es [tex]\frac{3}{5}[/tex]. Entonces:
P(A∩B)= [tex]\frac{2}{3}[/tex]×[tex]\frac{3}{5}[/tex]
P(A∩B)=[tex]\frac{2}{5}[/tex]
Finalmente, la probabilidad de que tanto el caballo, como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].
Aprende más:
https://brainly.com/question/24290732?referrer=searchResultsWrite your own lyrics in english using the music/rhythm of your favorite song.
Do you ever wish your dreams could come true?
Dream of things that won't make you boo.
Dreams can come real,
just make sure you make them feel.
If it's a nightmare make sure you hide up the back stairs,
and if it's a good dream make sure you make it seen.
So I really wish dreams were real,
that way I could start to feel.
Explanation: Sorry it isn't that good I did the best I could. It's also rrrreeeealllllllyyyyy short sooo.......
A package of nuts contains 3 servings, and each serving contains 150 calories. If you eat the entire package, how many calories did you consume?.
Answer:
450 calories 150 x 3 equals 450
Which of the following statements best supports the one gene-one enzyme hypothesis?.
The one gene–one enzyme hypothesis is a very common hypothesis on how genes acts. The statement that best supports the one gene-one enzyme hypothesis is a mutation in a single gene can result in a defective protein.
The one gene–one enzyme hypothesis was an hypothesis that came about through George Wells Beadle in the US.
In 1941, He gave the theory which states that each gene directly makes a single enzyme, which inturn affects an individual step that are also in a metabolic pathway.
He along with other researchers experimented with mutant fruit flies.
The full question is below
Which of the following statements supports the one gene-one enzyme hypothesis?
A) A mutation in a single gene can result in a defective protein.
B) Sickle-cell anemia results in normal hemoglobin.
C) Multiple antibody genes can code for different related proteins, depending on the splicing that takes place post-transcriptionally.
D) Alkaptonuria results when individuals lack multiple enzymes involved in the catalysis of homogentisic acid.
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Where are my smart friends?? i had $3. 0. My mom gave $10. 0. My dad gave $30. 0. My aunt and uncle gave me $100. 0. I had another $7. 0. How much did i have?.
Answer:
150$ you have as you have noticed
Which sentences include a proper mla parenthetical citation? check all that apply.
Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."
What is MLA parenthetical citation?MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.
Other sentences that include a proper MLA parenthetical citation include the following:Johnson claims that the English language began to deviate from its Germanic origins (4).In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).Hence, in this case, it is concluded that the correct answer is options A, E, and F.
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What is the acceleration of a 32 kg object if a 6. 75 n force is applied to it? 0. 21 m/s2 4. 74 m/s2 21. 09 m/s2 216. 00 m/s2.
The acceleration of the object is 4.74 m/s²
From the question given above, the following data were obtained:
Mass (m) = 32 Kg
Force (F) = 6.75 N
Acceleration (a) =?The acceleration of the object can be obtained as follow:
[tex]a = \frac{f}{m} \\ \\ a \: = \frac{32}{6.75} \\ \\ [/tex]
a = 4.74 m/s²Therefore, the acceleration of the object is 4.74 m/s²
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If 1=15 and 6=20 what is 3.
if 1 = 15 and 6=20 what is 3
=
25
Which of the following theorems cannot be used to prove two lines are parallel?.
How are we supposed to answer this question without the theorems mentioned in the question????
For what value of a does (one-ninth) Superscript a 1 Baseline = 81 Superscript a 1 Baseline times 27 Superscript 2 minus a? –4 –2 2 6.
Answer:
-4
Explanation:
Edge.
Answer:
A: -4
Hope this helps.
Diploid somatic cells of elephants have 56 chromosomes.
Answer: 29,29,27,27 :)
You get lost in extremely cold weather. You are unable to start a fire. Which of the following is the best way to survive?.
Answer:
go back in time and dont go anywhere cold
Explanation:
The diagram shows 3 identical circles inside a rectangle.
Answer:
Explanation:
Diagram?
Who intended to write an epic poem 12 books long? Question 3 options: Francis Drake Sir Walter Raleigh Edmund Spenser William Shakespeare.
Answer:
emund spencer
Explanation:
k12 test got it right have a great day xD
When making lemonade, 1 over 4 cup of sugar will make 5 glasses of lemonade. How many cups of sugar would be needed to make 22 glasses of lemonade?.
Answer:
1/4 sugar = 5 glasses
1/4 x 22/5 sugar = 5 x 22/5 glasses
22/20 sugar = 22 glasses
1 1/10 cup of sugar = 22 glasses lemonade
bài bánh trôi nước được viết theo phương thức biểu đạt nào? Nếu thể thơ của bài thơ giải
Answer:
I dont understand what you are saying
Which of the following distinguishes prophase 1 of meiosis from prophase of mitosis?.
Based on a scientific study, the difference between prophase 1 of meiosis from prophase of mitosis is "homologous chromosomes pair up."
prophase 1 of meiosis vs. prophase of mitosisProphase 1 of meiosis is the first stage of meiosis which involves recombination and alleles crossing over genetic material to form non-identical haploid chromatids.
In Contrast, the prophase of mitosis is also the first stage of mitosis which splits the duplicated genetic fabric present in the nucleus of a parent cell to form new identical daughter cells.
However, one of the significant differences between prophase 1 of meiosis and prophase of mitosis in appearance is " homologous chromosomes pair up."
Hence, in this case, it is concluded that the correct answer is "homologous chromosomes pair up."
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Have you ever visited a railway station.
Answer:
Yeah, so.....
Explanation:
Inspectors for a hospital chain with multiple locations randomly select some of their locations for a cleanliness check of their operating rooms. The inspectors check every operating room in the hospitals that were chosen. What type of sample is this?.
Considering the situation described in the question, the type of sample Inspector used is called Simple Random Sampling
What is Simple Random Sampling?Simple Random Sampling is a random sampling technique in which participants are taken randomly from a given population.
How this situation is a Simple Random Sampling.Here, the given population is the hospital chain with multiple locations; since the inspector only randomly selects some of their locations, this is a simple random sampling.
Type of Random Sampling TechniquesSimple Random SamplingCluster Random SamplingSystematic Random SamplingStratified Random SamplingHence, in this case, it is concluded that the correct answer is Simple Random Sampling
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If you believe that you have a water sample that is contaminated with barium, what could you add to it to test it?.
Answer: potassium sulfate
Explanation:
1) What is The Full form Of WWW ?
2)What Is The full form of 3 Cs ?
2nd question is little confused .
plz Don't Spam .
WWW is an abbreviation for World Wide Web ...
Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.
Answer:
• Full form of WWW :- World Wide Web WWW is an abbreviation for World Wide Web and it is commonly called the WEB. It is a system that is used to store documents and is accessed using URL(Uniform Resource Locator) which are accessible through Internet .• The full form of 3 Cs :- Corporation, Customer, Competitors (3C's) Model is a business model that focuses on the three key factors needed for success. This model was conceived by the famous business strategist, Kenichi Ohmae.Explanation:
Hope this helps you !!Beth is listening to her friend melissa talk about a recent break-up. Beth wants to give an appropriate listening response to convey to melissa that she there for her friend and shares her point of view. Beth’s best listening response would be which of the following?.
Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.
In communication, listening is very key which follows with a feedback to ensure what is being communicated is rightly decoded by the receiver of a message.
For feedbacks, many types of responses can be given. One of which is giving a listening response.
Types of listening responses include:
EmpathizingQuestioningParaphrasingEvaluatingSilent listeningEmpathizingSupporting.Supporting is a type of listening response whereby the listener shows solidarity with the speaker in a way that reflects the feelings about the speaker.
Therefore, Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.Learn more about listening responses on:
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You have a 20 year annuity with a present value of $575,000. If the apr is 6%, what is the monthly yield?.
Annuities allow us to measure the cost of making payments over a period of time. Given the entries in the question given, the monthly yield will be;
$4119.48Since the interest will be compounded monthly, the number of periods will be 12. To determine the monthly payment from a payout annuity, use the formula;
Present value = Monthly yield (1 - (1 + APR/12)^-12 × n
APR/12
Fixing the above into the equation;
$575,000 = PMT (1 - (1 + 0.06/12)^-12 × 20
0.06/12
$575,000 = PMT 139.6
Making PMT the subject of the formula,
PMT = 575,000/139.6
PMT = $4118.911
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Pain does all of the following things except.
Answer:
A. indicate potential danger in environment
Explanation:
