Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4. 31.

Answers

Answer 1

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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Related Questions

A wave with short wavelength will have ____ frequency and ___ energy.

Answers

A wave with a short wavelength will have a high frequency and high energy

Her nervousness had a profound.

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Huh yes that would work out well I think it’s a great deal to get it done by the end of the

According to john green, why was luther successful with his rebellion when others before him had failed?.

Answers

Answer:

As indicated by John Green, Luther's prosperity with the insubordination originated from his capacity to, at first, cause his lessons to resound with laborers and adolescents. Be that as it may, this reverberation didn't keep going long. Luther before long turned his lessons against the workers for the lords and sovereigns.

Explanation:

Thus according to John Green, Luther's capacity to originally made his beliefs appealing to workers and teenagers contributed to the rebellion's success.

Who is Luther?

The Renaissance, which resulted in Protestantism becoming the fourth main force in Christendom after Catholic Faith was sparked in part by Martin Luther's convictions.

According to John Green, Luther's success with inappropriate behavior stemmed from his ability to initially make his lectures resonate with workers and teenagers. Whatever the case, this reverberation lasted only a short time.

The workers serving the princes and sovereign states were the target of Luther's teaching soon after. However, this echo was brief. The teachings of Luther soon shifted away from the peasants and toward the kings. 

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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?.

Answers

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].

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In the poem "War Is Kind," which best describes the effect of the repetition of the lines "Do not weep. War is kind"? These lines illustrate the fact that people react very differently to suffering. These lines suggest that people who suffer from war are overreacting. These lines highlight the idea that war is not as brutal as people think. These lines emphasize the harshness of the scenes the speaker describes.

Answers

There are different kinds of poem. In the poem "War Is Kind," the best description of the effect of the repetition of the lines is that the lines emphasize the harshness of the scenes the speaker describes.

The line of the poem talks able the cruelty of war and how its effect on the people.

War is not a pleasant situation. Stephen Crane in his poem calls war "kind". This is because he laugh at the idea that young men often believe that going to war is noble and dying for one's country is an heroic act.

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Answer:

These lines emphasize the harshness of the scenes the speaker describes.

Explanation:

D on edge!

A 20~\mu f20 μf capacitor has previously charged up to contain a total charge of q = 100~\mu cq=100 μc on it. The capacitor is then discharged by connecting it directly across a 100-k\omega100−kω resistor. At what point in time after the resistor is connected will the capacitor have 13. 5~\mu c13. 5 μc of charge remaining on it?.

Answers

Answer:

10385877.377477km

Explanation:

kasi po i plas lang po

It is affected by the structure of the bones and muscles surrounding the joint.

Answers

Answer:

um... ok

Explanation:

If you have a cb radio, you can turn to channel ___________ and request police assistance.

Answers

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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Oscar started freaking out about the test formal brainly.

Answers

Answer:

?

Explanation:

Answer:

y lol

Explanation:

Which list of symbols represents nonmetals, only?.

Answers

Answer:

100 points branly salamat

A global resources company uses data-intensive, cloud-based simulation software, but users in remote locations find that the responsiveness is poor due to the amount of data being transferred to and from the cloud. In response, the company decides to deploy multiple instances of the application in locations closer to the end users.

Answers

There are several advances in technology. The type of technology is illustrated in this example  is called Edge computing.

Edge computing is known as a form of distributed computing  that serves computation and data storage closer to data source.

It is known as the act of holding, storing, processing and analyzing data near the client.

This form of computing draws closer the processing and storage of data  to the equipment.

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A global resources company uses data-intensive, cloud-based simulation software, but users in remote locations find that the responsiveness is poor due to the amount of data being transferred to and from the cloud. In response, the company decides to deploy multiple instances of the application in locations closer to the end users.

which type of technology is illustrated in this example?

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How much force is needed to stop a 100-kg football player if she decelerates at 20 m/s2? 5 N 20 N 200 N 2000 N.

Answers

2000 N. is needed to stop a football player

If a unit price label has a unit price of 21. 5 cents per pound, how much is the total price for an 8 pound package? a. $0. 37 b. $1. 72 c. $2. 69 d. $17. 20.

Answers

Answer:

b $1.72

Explanation:

21.5 cents for 1 pound

p for 8 pounds

p = 8 * 21.5

= 172 cents

= $172 / 100

= $1.72

What term best describes region ""b"" of the phospholipid model above?.

Answers

The term which best describes the region "b" of the phospholipid model in the attached image (below) is: Hydrophobic.

Phospholipids are also referred to as phosphatides and they are a type of lipid whose molecule comprises the following:

A hydrophilic "head" that contains a phosphate group.Two (2) hydrophobic "tails" joined by an alcohol residue and that are mainly derived from fatty acids.

This ultimately implies that, a large potion of the cell (plasma) membrane is made up of lipids, which are mainly phospholipids and they control the movement of large hydrophilic molecules such as alkanes, oils, and fats.

In conclusion, hydrophobic is a term that is used to describe the tail or lower part of a phospholipid model, which is the "b" region in the image attached below.

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Erikah has just arrived at the funeral.

Answers

Answer:

Is this real?

Explanation:

Answer : Who’s funeral?

A cube with volume 8 $\text{cm}^3$ is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube? express your answer in simplest radical form.

Answers

The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]

The diagram of the cube and the cutting plane is shown in the figure.

Since the cube has a volume of [tex]8cm^3[/tex], the sides are [tex]2cm[/tex] each.

From the diagram, the red rectangle is the rectangle formed from the intersection of the plane and the cube. It has an area given by

[tex]A_R=\text{side of cube}\times \text{diagonal}=2d[/tex]

and, using Pythagoras' theorem,

[tex]d=\sqrt{2^2+2^2}\\d=\sqrt{8}=2\sqrt{2}\text{ cm}[/tex]

Substituting the value of [tex]d[/tex] into the formula for [tex]A_R[/tex]

[tex]A_R=2\times d\\=2\times 2\sqrt{2}\\=4\sqrt{2}[/tex]

The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]

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Answer:

4 square root of 2cm

Explanation:

cool stuff

A coordinate plane is labeled with quadrants 1, 2, 3, and 4. Point P is located at (–4, –7). P is reflected across the x-axis to create P'. In which quadrant is P' located? Quadrant I Quadrant II Quadrant III Quadrant IV.

Answers

Answer:

Quadrant II

Explanation:

P (-4, -7) lies in 3rd quadrant

reflect across the x axis (x, y) --> (x, -y)

so P' (-4, 7)

it lies in 2nd quadrant

Answer:

B

Explanation:

got it right

I learned that modal adverbs are.

Answers

Answer:

Modal adverbs are used to modify specific verbs that consist of a linking verb (verb of being) and sometimes another verb.

Explanation:

Some numbers are formed with closed paths.

Answers

Answer:

what is the question

Explanation:

Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1. 50 more than the cost of a one loaf of bread. What is the combined cost of one loaf of bread and one package of cheese?.

Answers

Answer:

Bitlog

Explanation:

iklog

A wheel rotates with a constant angular acceleration of 3. 50 rad/s2.

Answers

Answer:

is this a true or false question?

Explanation:

You get lost in extremely cold weather. You are unable to start a fire. Which of the following is the best way to survive?.

Answers

Answer:

go back in time and dont go anywhere cold

Explanation:

Francis has the standard plan offered by his employer and is making an office visit to an in-network doctor to treat his flu-like symptoms. How much would francis be asked to pay by the office manager in the doctor's office?.

Answers

There are different kinds of healthcare plans. Francis will not pay (Option one) if he be asked to pay by the office manager in the doctor's office.

There is a standard of minimum coverage that is applicable to employment based health plans.

A health plan must meets the minimum required  value standard if;

a. It was designed to pay at least 60% of the total cost of medical services for a standard population.

b. Does the employer offer a health plan that meets the minimum value standard.

Francis is already covered in his his standard plan and therefore will not be expected to pay the money. But in cases of only some percentage of the plan is covered, then the individual can cover the rest expenses.

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Francis has the Standard Plan offered by his employer and is making an Office Visit to an in-network

doctor to treat his flu-like symptoms. How much would Francis be asked to pay by the office manager in

the doctor’s office?

a. $0

b. $15

C. $25

d $40

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Answer: C

Explanation:

Which substances are necessary for the synthesis of most materials in an organism.

Answers

Enzymes

Explanation:

are substances necessary for the synthesis of most materials in an organism.

I hope this is an option???

Which of the following is a difference between phase 1 and phase 2 of meiosis.

Answers

ok done. thank to me :>

if the natural market forces are left to their own devices, will tourism result in income redistribution that works in favor of the poorer segments of the population?

Answers

Answer:

No

Explanation:

No, companies will most likely reduce benefits/wages to increase profit margins and increase revenue, resulting in increased share value and happier shareholders.

To what extent do covalent compounds conduct electricity?.

Answers

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 :)

In the diagram, ce=12 units and be=5 units. Based on the given information, what is ae? 2 units 7 units 12 units 17 units.

Answers

Answer:

C. 12 units.

Right on edge

In the diagram, ce=12 units and be=5 units. Based on the given information. So, the answer will be 7 units. Thus, option B is correct.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

⇒ CE = 12 units

⇒ BE = 5 units

Now,

Since, Triangle CBE is an right triangle.

And, We have;

⇒ CB = AB

⇒ ∠DBC = 90°

⇒ ∠ABE  = ∠DBC = 90° (opposite angles formed by the intersection of  AC and DE.)

As, ∠CBE and  ∠ABE are supplementary angles and form a straight line.

So, We get;

⇒ ∠CBE + ∠ABE =180°

⇒∠CBE =  180° - ∠ABE  

           = 180°- 90°

           = 90°

And, Between triangle ΔCBE  & ΔABE;

⇒ ∠CBE = ∠ABE = 90°

⇒ CB = AB (given)

⇒ BE = BE  (common side)

Hence, The triangles Δ CBE  & ΔABE are congruent.

⇒ Δ CBE  ≅ ΔABE( by S-A-S Congruency)

⇒ CE = AE ( as triangle Δ CBE  & ΔABE are congruent then the sides are same.)

⇒  AE = 12 units

Thus, The length of AE = 12 units

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Promoters and enhancers are dna sequences both bound directly by ____________.

Answers

Answer:

Transcription factors

Which of the following is a way to buy stocks.

Answers

Answer:

Through Hiring a Stockbroker

Answer:

Online through a brokerage Web site

Explanation:

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