Emma puts $10,000 in a simple interest account at a bank. She will earn $1,800 in 4 years. What is the annual interest rate for the account?.

Answers

Answer 1

Answer: 4.5%

Explanation:

A = P(1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

A = 10000 + 1800 = 11800

11800 = 10000 (1 + r4)

1.18 = 1 + 4r

4r = 0.18

r = 0.18/4 = 0.045 = 4.5%

Answer 2

The required annual interest rate is  4.5% for the account.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

A = P(1 + rt) ...(i)

First, we have to find the final amount

Initial principal amount (P) =  $10,000

Time (t in years) = 4

A = P + S.I.

A = 10000 + 1800 = 11800

Substitute the values in the above formula (i),

11800 = 10000 (1 + r × 4)

1.18 = 1 + 4r

4r = 0.18

r = 0.18/4 = 0.045 = 4.5%

Therefore, the required annual interest rate is  4.5% for the account.

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Related Questions

Consider this reaction: 2h+ + co32- → h2o + co2. Identify each of the following as a product, a reactant, or a coefficient. Co32-: h2o: co2: the 2 in front of h+:.

Answers

1. CO₃²¯ is a reactant

2. H₂O is a product

3. CO₂ is a product

4. The 2 in front of H⁺ is a coefficient.

Chemical equation generally comprises of reactants and products.

The reactants are located on the left while the products are located on the right side.The coefficients are numbers written where necessary before each reactants or products in order to balance the chemical reaction.

With the above information in mind, we can obtain the answers to the question as follow:

2H⁺ + CO₃²¯ —> H₂O + CO₂

From the above equation, we can conclude as follow:

CO₃²¯ is a reactantH₂O is a product CO₂ is a productThe 2 in front of H⁺ is a coefficient.

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The reactant, product and coefficient of the chemical equation are 2H⁺ and CO₃², H₂O and CO₂ and 2 respectively.

The chemical reaction is as follows:

2H⁺ + CO₃²⁻ → H₂O + CO₂

Chemical reaction is the reaction between two or more substances to form a new substance.

The reaction is between an hydrogen ion(cations) and a carbonate ion(anions).

Generally, the reactant of a chemical equation is on the left hand side of the equation while the product is on the right hand side.

The coefficient are in front of the elements or compound involve in the reaction.

Therefore, 2H⁺ and CO₃²⁻ are the reactant of the chemical equation and  H₂O and CO₂ are the product . The coefficient is the 2 in front of H⁺ .

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When readers make a(n) , they are drawing a conclusion based on evidence.

Answers

The answer to this question is prediction

When readers make a(n) inference, they are drawing a conclusion based on evidence. Thus the correct option is 2.

What is the Conclusion?

Any topic's conclusion gives information about the subject, including the major point, which aids the reader in evaluating the topic's advantages and disadvantages and formulating a conclusion as a result.

Objects that convey accurate information based on real events are referred to as evidence or proof. This factual information aids in determining whether or not the events actually occurred. It aids in establishing the reliability of the sources.

Inference in a piece of literature is the process of drawing a conclusion about a given topic using the facts and evidence that are specific to that work of literature.

Therefore, option 2 is appropriate.

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The complete question is probably

When readers make a(n) ____ , they are drawing a conclusion based on evidence.

1.analysis

2.inference

3.prediction

4.strategy

Which statement is most closely related to the modern theory of evolution?.

Answers

POPULATION THAT HAVE ADVANTAGEOUS CHARACTERISTICS WILL INCREASE IN NUMBER IS THE STATEMENT RELATED TO THE MODERN THEORY OF EVOLUTION.

The scatter plot shows how the cooking time for a turkey is related to its weight. Which statement is not supported by the trend in the scatter plot?.

Answers

Answer Each additional pound adds about 2 hours of cooking time.

Explanation:

this is the answer

A country that is concerned about inflation wants to:.

Answers

Answer:

Prevent its currency from losing value too quickly.

Explanation:

What is the most appropriate unit for the length of a pencil.

Answers

Answer:

inches

Explanation:

because centimeters is to small and inches is easier to count

Few of the applicants made it through the grueling admissions process.

Answers

The question requires that we identify the term that best describes the italicized phrase, "Few of the applicants."

The answer is Simple Subject.

The Simple Subject is a term that refers to the person or thing that performs the action in a sentence.

The simple subject that performed the act of making it through the grueling admissions process is: Few of the applicants.

So, the correct answer is: Simple Subject.

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The total area of two square windows is 1,025 in. 2. Each side of the larger window is 5 in. Longer than the sides of the smaller window. How long are the sides of the smaller window? a = s2 13. 5 in. 20 in. 25 in. 31. 6 in.

Answers

The sides of the smaller window is 20 inches long.

An equation that represents this situation is shown below, where s is the length of the smaller window
1,025 = (5 + s)^2 + s^2

if s = 20 m, then:
(5 + 20)^2 + 20^2
= 625 + 400
= 1,025

Who's your favorite You_Tuber ?

Answers

Explanation:

mr beast

Answer:

lisa koshy

shes my favorite

omg

Which three processes are involved when a multicellular organism reproduces sexually.

Answers

Answer:

mitosis. ,. meosis ,. formation of gamettes

Juanita wants to perform row operations on the augmented matrix for the system below.

Answers

Answer:B

Explanation: right on edge

A short block includes all of the following except.

Answers

Answer:

cylinder heads

Explanation:

In an internal combustion engine, the cylinder head sits above the cylinders on top of the cylinder block. It closes in the top of the cylinder, forming the combustion chamber. This joint is sealed by a head gasket.

Find the perimeter of the figure below, in centimeters.

Answers

if you add all the sides you get 76.2 cm

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given figure will be 76.2 cm.

What is the perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

The perimeter of the given figure is the sum of all the sides of a figure, therefore, the perimeter of the figure is,

Perimeter = 9.1cm + 6.9cm + 6.9cm + 11.9cm + 3.3cm + 9.1cm + 3.3cm + 11.9cm + 6.6cm + 6.6cm = 76.2cm

Hence, the perimeter of the given figure will be 76.2 cm.

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The perimeter of the figure below is 133.1 ft.
Find the length of the missing side.

Answers

Answer:

9.6

Explanation:

because if we did if we subtract the total number which is which we are giving 133.1 minus the total number is that the Debt term give us by him by the drawing it will give us 9.6 feet

9.6 ft because if you add all the sides then subtract by the actual perimeter then you get x= 9.6 ft

Which of the following is a similarity between goods and services.

Answers

Answer:

I need only 5 brainlisted please give me

What do condensation evaporation and crystallization have in common.

Answers

Answer:

They are all a part of the water cycle.

Which of the following is a good practice for protecting computing devices.

Answers

A good practice for protecting computing devices is to: ensure your antivirus and other software are kept up-to-date.

Computing can be defined as a process that typically involves the use of computer hardware and software to manage, process and transmit data in order to successfully complete a goal-oriented task.

In Computer science, some examples of a computing device include the following:

KeyboardCentral processing unit (CPU)MonitorRouter

Generally, a good practice for protecting computing devices is to ensure your antivirus and other software are kept up-to-date. Thus, you shouldn't use an outdated software application on your computing devices.

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Which of the following details from the passage best helps the reader picture the setting.

Answers

Answer:

Can u please out a pic of the Passage so I can solve ur question?

School taxes for a local district are 2. 5% of a household's income. The smith household earns $80,000 per year. How much do the smiths pay in school taxes per year?.

Answers

Answer:

2.5% of $80,000=$2,000

The Smiths pay $2,000 in school taxes per year.

Explanation:

100%=$80,000

10%=$80,000(100%)/10=$8,000(10%)

5%=$8,000(10%)/2=$4,000(5%)

2.5%=$4,000(5%)/2=$2,000(2.5%)

The piecewise function f(x) has opposite expressions. F(x) = startlayout enlarged left-brace 1st row 1st column 2 x minus 1, 2nd column x less-than 0 2nd row 1st column 0, 2nd column x = 0 3rd row 1st column negative 2 x + 1, 2nd column x greater-than 0 which is the graph of f(x)?.

Answers

The piecewise expression presented in the question gives values of f(x)

that change based on the range of the input value, x.

The graph of the piecewise expression f(x) is attached

Reasons:

The given piecewise function is presented as follows;

[tex]f(x) = \begin{cases}2 \cdot x - 1, & \text{ if } x < 0 \\0, & \text{ if } x = 0\\-2 \cdot x + 1, & \text{ if } x > 0 \end{cases}[/tex]

Required:

To find the graph of f(x)

Solution:

From the piecewise function, we have;

For x < 0, f(x) = 2·x - 1

The slope, m = 2

Therefore, as x tends to 0, f(x) tends to 2×0 - 1 = -1

Therefore, for x < 0, the graph starts with an open circle at f(x) = -1, and f(x) decreases as graph moves from right to left.

At x = 0, f(x) = 0, which represent a point on the graph

For x > 0, f(x) = -2·x + 1

Which gives that as x tends to 0, f(x) tends to +1

The slope of the graph, m = -2

Therefore, the graph is a straight line that starts with an open circle at f(x) = +1 and slopes downwards from left to right.

Please find attached the graph of f(x) created with MS Excel

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Answer:

C

Explanation:

took the test on edge :p

Which of these does henry david thoreau criticize in resistance to civil government.

Answers

Answer:

In “Civil Disobedience” Thoreau not only calls for resistance to immoral and unjust government actions, he also criticizes the foundation of representatives democracy — majority rule, voting, and representation

Explanation:

hope it helps

Answer:

B: The Mexican-American War

Explanation:

Fill in the table below by providing a date and a meaningful description of each of the events listed. Be sure to identify the importance of each event to the history of immigration in the united states. Note that the events are not in the correct chronological order. You will organize these events in the next step. To complete the table, review information from the course and gather additional sources online or elsewhere. As you conduct your research, please use the resources table below to provide the citation information for any sources you rely on.

Answers

From the information given, the following can be deduced:

Cuban Revolution: It should be noted that there was large scale migration from Cuba after the revolution in 1959.

Great Depression: It began in 1932 when severe droughts hit the country. This led to a worsening economic situation.

Information Reform and Control Act of 1986: The law criminalized the pattern of hiring unauthorized alien. This was done in order to curb undocumented immigration.

Japanese Internment: This was the forceful relocation of the Japanese during World War II.

Nativism: This policy was adopted to protect the interest of the established citizens against immigrants.

Comprehensive Reform Act of 2007: The bill was discussed in order to provide legal status for undocumented immigrants.

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What is one way people can reduce the amount of taxes they owe in a year brainly.

Answers

it will be intrest blc there will be rent

Determine whether or not the vector field is conservative. If it is conservative, find a function f such that f = ∇f. (if the vector field is not conservative, enter dne. ) f(x, y, z) = i + sin(z)j + y cos(z)k.

Answers

If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means

∂f/∂x = 1

∂f/∂y = sin(z)

∂f/∂z = y cos(z)

Integrating each each of these equations gives

∫ ∂f/∂x dx = ∫ dx   ⇒   f(x, y, z) = x + α(y, z)

∫ ∂f/∂y dy = ∫ sin(z) dy   ⇒   f(x, y, z) = y sin(z) + β(x, z)

∫ ∂f/∂z dx = ∫ y cos(z) dz   ⇒   f(x, y, z) = y sin(z) + γ(x, y)

It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So

f(x, y, z) = x + y sin(z) + C

and F is indeed conservative.

Which of the following statements are true? check all of the boxes that apply.

Answers

Answer: can't see the boxes?

Explanation:

Answer:

A and C

Explanation:

Trust

If you are the driver or owner of a vehicle which is in a crash that is your fault and you are not.

Answers

If you are the driver or owner of a vehicle which is in a crash that is your fault and you are not insured in compliance with the financial responsibility law? You may be required to pay for the damages before your driving privileges is reinstated.

You are in charge of an event at work. You want to plan and schedule events and resources.

Answers

ok ?? i don't get what to you want to answer

Answer:

Plan it out ahead of time

Explanation:

An astronaut in the space station appears weightless because the astronaut seems to float. Which of the following claims is true about the force exerted on the astronaut by earth?.

Answers

Answer:

The force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.

Explanation:

The claim that is true about the force exerted on the astronaut by the earth is equal to the force exerted on Earth by the astronaut. The correct option is D.

Who is an astronaut?

An astronaut is a scientist who studies the bodies outside the earth. The galaxies, planets, and other astronomical units.

Newton's third rule of motion states that there is always an equal and opposite response to every action in nature. For example, if a first item exerts a specific amount of force on a second object, the second object will do the same but in the opposite direction.

As a result, the gravitational pull that Earth has on the astronaut is equivalent to the pull that the astronaut has on Earth.

Therefore, the correct option is D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.

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The question is incomplete. Your most probably complete question is given below:

A) there is no force exerted on the astronaut by Earth because the astronaut is 400km above Earth’s surface

B) the force exerted on the astronaut by Earth is less than the force exerted by the astronaut because the astronaut is 400km above Earths surface

C) the force exerted on the astronaut by Earth is equal to the gravitational force of the space station that is exerted on the astronaut; the two equal forces balance to cause the astronaut to float.

D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut

Someone's mother has four sons north south and east.

Answers

The fourth one’s name is Someone.

Hailey (entering from the side door and depositing a full backpack on the table): hi, mom! i’ve got a ton of homework tonight. Mrs. Renault (stepping forward and offering a letter for inspection): oh, yeah? well, a letter came for you today. It says it’s from the encore summer institute. Hailey (taking the letter and opening it): i’ve been waiting for this (reading the letter, eyes growing wider). Oh, mom, i got in. Unbelievable. I can’t, i mean, this is amazing. Mrs. Renault (shaking her head and clutching her hands, jaw dropping): read it out loud. . . . Which line from the play contains dialogue that reveals emotion?.

Answers

There are different kinds of lines in the passage.  The line from the play contains dialogue that reveals emotion is "Oh, Mom, I got in. Unbelievable. I can’t, I mean, this is amazing".

There are different ways to show emotions in a dialogue. This can be seen a lot through  Facial Expressions such as when one's eyes go wide or a tugging of the ear.

Facial expressions are known to be the first reaction of the human body to another individuals dialogue. They often show how a  certain characters feel about what they have heard or seen.

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how does beatty define happiness Which conclusion to this story is most logical?Daya and Renay are best friends and do everything together. They bothlove graphic novels and decide to start a graphic novel club at theirschool. During the first club meeting, Daya says she wants to bepresident of the club. Renay says she also wants to be president. Thefaculty adviser asks for a vote of all the club members. Daya wins.Renay looks sad.O A. The faculty adviser decides to cancel the club.B. Renay decides to go to a different school.C. Daya asks Renay to leave the club.D. Daya asks Renay to be the co-president of the club. The 1,600-meter race in the Olympics is very close to 1 mile long. How many kilometers is 1,600 meters? An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. 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Which of the following could be a reasonable estimate forthe distance between her house and the hospital?O 1.7 x 102 metersO 1.8 x 103 metersO 1.7 x 10-3 metersO 1.8 x 10-2 meters 1 Answer: Can function as a main verb; formed by adding -ing to the base verb a. present participle c. gerund b. past participle d. infinitive2 Answer: Formed with the word TO together with a base verb a. present participle c. gerund b. past participle d. infinitive3 Answer: Functions as a noun; formed by adding -ing to the base verb a. present participle c. gerund b. past participle d. infinitive4 Answer: Can function as an adjective; usually formed by adding -ed to the base verb a. present participle c. gerund b. past participle d. infinitive5 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: Some tourists enjoy sketching foreign scenes. a. present participle c. gerund b. past participle d. infinitive6 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: Matthew got out his canvas and oils and got ready to paint. a. present participle c. gerund b. past participle d. infinitive7 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: Painting can be a relaxing hobby. a. present participle c. gerund b. past participle d. infinitive8 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: The swaying motion of the trees was hard to suggest on canvas. a. present participle c. gerund b. past participle d. infinitive9 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: Dabbing paint onto his brush, the artist set to work on a new painting. a. present participle c. gerund b. past participle d. infinitive10 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: Overwhelmed, Micaela stared at the beautiful portrait. a. present participle c. gerund b. past participle d. infinitive11 Answer: Select the letter of the term in the following list that identifies the underlined word or words in the sentence: This watercolor, completed in 1924, is exceptionally well done. a. present participle c. gerund b. past participle d. infinitive12 Answer: Select the letter of the term that identifies each underlined phrase: The statue erected here honors a former mayor of the city. a. participial phrase c. infinitive phrase b. gerund phrase d. prepositional phrase13 Answer: Select the letter of the term that identifies each underlined phrase: Sculpting in stone requires skill and patience. a. participial phrase c. infinitive phrase b. gerund phrase d. prepositional phrase14 Answer: Select the letter of the term that identifies each underlined phrase: That sculptor has donated much of his work to the museum. a. participial phrase c. infinitive phrase b. gerund phrase d. prepositional phrase15 Answer: Select the letter of the term that identifies each underlined phrase: To see the famous statues of Italy has always been one of Gil's dreams. a. participial phrase c. infinitive phrase b. gerund phrase d. prepositional phrase16 Answer: Select the letter of the term that identifies each underlined phrase: This statue, made of marble, was sculpted by the great Michelangelo. a. participial phrase c. infinitive phrase b. gerund phrase d. prepositional phrase17 Answer: Select the letter of the term that identifies each underlined phrase: Our fine arts instructor very much enjoys teaching us about sculpture. a. participial phrase c. infinitive phrase b. gerund phrase d. prepositional phrase18 Answer: Select the letter of the term that identifies how the underlined word or phrase functions in the sentence: Those women are hooking rugs with complex designs. a. subject c. adjective b. direct object d. part of a verb phrase19 Answer: Select the letter of the term that identifies how the underlined word or phrase functions in the sentence: Dyeing the yarn for the rugs is a tedious and messy process. a. subject c. adjective b. direct object d. part of a verb phrase20 Answer: Select the letter of the term that identifies how the underlined word or phrase functions in the sentence: Abdul wants to show us his antique rugs. a. subject c. adjective b. direct object d. part of a verb phrase Ten minus three tenths of n One major change brought on by the internet is targeting ads that are generated bywhat consumers search for online.TrueFalse Background information: This passage is from a testimony before a House of Representatives committee. 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ILL GIVE YOU BRAINLEST PLEASE HELP Write a function rule for "The output is one-third of the input x" Which theory states that laws should be ignored and governments should beeliminated?A.anarchismB.capitalismC.communismD.socialismAnswer: The universal gas law, pv = nrt, describes the relationship among the pressure, volume, and temperature of a gas. P = pressure v = volume t = temperature (kelvin) n = number of moles (quantity of gas particles) r = universal gas constant at a constant temperature of 1 k, the pressure and volume of 1 mole of gas vary inversely. P = startfraction uppercase r over uppercase v endfraction use the values in the table to find the value of r. Es001-1. Jpg r =. The angle DEF has measure 75*. What type of angle is it? What is the significance of this photo?