Calculate the yield to maturity of a zero coupon bond with a face value (par value) of $1,000, maturing in 15 years and selling for a price of $525.75.a. 5.62%.b. 4.38%.c. 8.74%.d. 15.26%.e. 16.27%.

Answers

Answer 1

Answer:

YTM = 0.043793 or 4.3793% rounded off to 4.38%

Explanation:

The yield to maturity or YTM is the yield or return that an investor can earn on the bond if the bond is purchased today and is held till the bond matures. The formula to calculate the Yield to maturity of a zero coupon bond is as follows,

YTM = [ (( F / PV)^1/n)  - 1 ]

Where,  

F is the Face value of the bond

PV is the current value of the bond

n is the number of years to maturity

YTM = [ (( 1000 / 525.75)^1/15) - 1 ]

YTM = 0.043793 or 4.3793% rounded off to 4.38%


Related Questions

How do people who volunteering/organizing at a fundraiser use donated items

Answers

People who volunteer or organize fundraisers typically use donated items in several ways to maximize their impact providing both financial and experiential value, while fostering community involvement and support for the cause.

Firstly, they assess the donated items to determine their suitability for the event's goals. If the items align with the fundraiser's purpose, they may include them in auctions, raffles, or silent auctions to generate funds. High-value items or unique experiences are often reserved for live auctions to attract higher bids.

In addition to generating revenue, donated items can serve as incentives to encourage donations. Volunteers may offer them as rewards for specific donation thresholds or use them as prizes for fundraising challenges. By leveraging the donated items in this way, organizers motivate participants to contribute more generously.

Moreover, donated items can be used to enhance the overall atmosphere of the fundraiser. They may be displayed to create visually appealing setups, reinforcing the cause and encouraging attendees to engage with the event. For example, art pieces or crafts can be showcased, generating interest and potentially leading to additional donations.

Overall, donated items play a crucial role in fundraising events, providing both financial and experiential value, while fostering community involvement and support for the cause.

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Robert is a high school junior who likes studying diseases and medicine but doesn't want to have direct patient contact. He's also very good at computer science and programming and wants to find a college major that combines his two interests. The phrase that describes the scientific discipline that is concerned with the cognitive, information-processing, and communication tasks of the healthcare practice, education, and research, including the information science and technology to support these tasks is:

(A) Health Informatics
(B) HIM
(C) Data Analytics
(D) Epidemiology

Answers

The phrase which best describes the scientific discipline that is concerned with the cognitive, information-processing is:

(A) Health Informatics

What is Health Informatics?

This refers to the practise of health data management which involves the use if info-processing to manage data and also for the administration and control.

With this in mind, we can see that the name which is given to the scientific discipline which would help Robert to study diseases and not have direct contact with them is Health Informatics.

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To compete on the basis of price

Answers

Answer:

I believe it's competitive-based pricing.

Explanation:

Sorry if it's wrong though.

how might a business be in violation of a truth in advertising law?

Answers

Answer:

By claiming its product is healthy without having any scientific evidence

Most modern workers _________.
a.
Will change their careers, but not their jobs
b.
Will change their jobs, but not their careers.
c.
Will change both their jobs and careers
d.
Will change neither their jobs nor their careers

Answers

Answer:

B. Will change both their jobs and careers

Explanation:

Internet made it really easy for people to access information , including new educations. Due to the abundant of information that the people can use, acquiring new skills and connections that required to change jobs became much Easier.

According to the data that recorded by the government, around 51% of modern workers change their jobs within 1-5 years period and around 30% workers change their careers every 12 months.

Answer:

c.

Will change both their jobs and careers

Explanation:

got it right on edge

Global market channels involve a firm producing goods in:______
A. Their home country and exporting them to other countries.
B. Their home country to sell at home.
C. A foreign country to sell at home.
D. A foreign country to sell abroad.

Answers

Answer:

A. Their home country and exporting them to other countries.

Explanation:

A global market channel generally explains the production of commodities by a certain or group of firms and goods by a home country and exporting them to other countries. This is seen generally in the production of phones, laptops, tv brands refrigerators and a whole lot of products amongst tier 1 or tier 2 countries and are been shipped to lowest their countries and other tier countries. This is seen to boost the economy and international trade friendship of either countries though the country at the recieving end is loosing per capital but at the end, we need each other to grow and live.

FILL IN THE BLANK the general electric model can be compared to swot analysis. market attractiveness corresponds to the_____element is swot analysis, whereas business strength corresponds to the_______ element.

Answers

Swot analysis and the general electric model are comparable. In a swot analysis, company strength refers to the internal aspect, while market attractiveness corresponds to the external element.

Which of the following actions could a marketer do while conducting a situational analysis?

A situational analysis determines possible clients, examines predicted growth, evaluates competitors, and creates a realistic assessment of your company using market research. It entails focusing on the specific goals of the company and determining the elements that help or hinder those goals.

When a company launches a new product or service, which growth approach is employed?

Market development plan is a growth strategy used by businesses or organizations to reach target consumers they haven't yet attained or aren't already serving with their offerings.

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4. What is the difference between a goal and a strategy as
defined in the text? Identify both a goal and a strategy
for a campus or community organization with which
you are involved.​

Answers

Answer:

What is the full problem? I'm not understanding this. Can you put the full problem so i can solve it? Thanks.

Explanation:

Rafael transfers the following assets to Crane Corporation in exchange for all of its stock.
Note: Assume that neither Rafael nor Crane plans to make any special tax elections at the time of incorporation.
Assets Rafael's Adjusted Basis Fair Market Value
Inventory $60,000 $100,000
Equipment 150,000 105,000
Shelving 80,000 65,000
Note: If an amount is zero, enter "0". Do not round any division.
a. Rafael's realized _________________ is $ _________________ . Of this amount, $ _________________ is recognized.
b. Assuming no election is made, Rafael's basis in the stock is $ _________________ .
c. Crane's basis is $ _________________ for inventory, $ _________________ for equipment, and $ _________________ for shelving.
d. If Rafael plans to hold his stock for a substantial period of time, he and Crane may elect to allow Crane _________________ a carryover basis in the assets received. Its basis in the assets would also change to $ _________________ for inventory, $ _________________ for equipment, and $ _________________ for shelving.

Answers

Answer:

Im doing the answer in the comments!!

Explanation:

You call a coworker to see if they can come help you solve a problem

Answers

yes/true/correct/not false

Rosa hired Luis from Cajun College. He was an amazing employee and exceeded all her expectations. The next year, Rosa received an application for a job opening from another graduate from Cajun College. She was very excited to hire another outstanding candidate. Rosa has ________ bias.

Multiple Choice

availability

confirmation

representativeness

overconfidence

Answers

When Rosa received an application for a job opening from another graduate from Cajun College and was very excited to hire another outstanding candidate.; we will say Rosa has representativeness bias. The Option C is correct.

What does representativeness bias means?

When the similarity of objects or events confuses people's thinking about the likelihood of an outcome, this is referred to as heuristic bias. People frequently make the error of assuming that two similar things or events are more closely related than they are.

For instance, a representativeness bias is believing that because someone is dressed in a suit and tie and carrying a briefcase, they must be a lawyer because they fit the stereotype.

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Decisions made through alternative resolution techniques are binding and cannot be challenged through litigation.
True or False

Answers

Decisions made through alternative resolution techniques are binding and cannot be challenged through litigation, is the false statement.

What is alternative resolution techniques?

ADR brings together all methods and procedures for resolving disputes that take place independently of any governing body. Mediation, arbitration, conciliation, negotiation, and transaction are the most well-known ADR techniques.

The most common ADR method now used by agencies in employment-related conflicts is mediation. An approved impartial and neutral third person with no power of decision-making will mediate a conflict or negotiation.

Thus, it is the false statement.

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Kaia, a manager, studied the performances of the various business units of her organization. After making an assessment, Kaia came to the conclusion that the overall costs of the organization can be reduced by integrating the functions of two of the business units. This scenario illustrates Kaia's _____ skills.

Answers

Kaia's conceptual abilities are demonstrated by the aforementioned scenario.

What is the meaning of skills?

Ability to perform is referred to as skill. The abilities acquired to carry out particular tasks. It needs experience that has been developed through persistent work in certain areas.

Activities such as printmaking, photography, ornamental arts, music, painting, film, literature, and architecture were all considered skills.

Conceptual abilities are the Conceptual talents are the capacity to understand a complex circumstance or issue and offer a more unique and useful solution.

Thus, it may be said that the provided illustration demonstrates conceptual skills.

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Calculate the Net Revenue per Patient using the following information:
Total number of patients: 16,245
Total Expenses: $568.758
Fixed Expenses: $389,600
Total annual revenue: $1,090,800

Answers

The total Net Revenue per Patient is $32.14

Total Patient Expenses

= Total Expenses - minus Fixed Expenses

= $568,758 - $389,600

= $179,158

Total Annual Revenue = Total Receipts

= $1,090,800

Gross Revenue per Patient

= Total Annual Revenue  divided by Total number of Patients

= $ 1,090,800 / 16,245

= $67.15

Total Cost per Patient

= Total Expenses  divided by Total number of Patients

= $568, 758 / 16,245

= $35.01

Net Revenue per Patient

= Gross Revenue per Patient minus Total Cost per Patient

= 67.15 - 35.01

= $32.14

Hence, the total Net Revenue per Patient is $32.14

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Supply chain management involves actively planning and controlling the
activities in a supply chain in order to achieve minimum costs and maximum___

A. speed and quality

B. channel length

C. speed and size

D. channel power

Supply chain management involves actively planning and controlling theactivities in a supply chain in

Answers

Answer:

The answer is (A) Speed and Quality

Explanation:

I just took the quiz

In order to attain the lowest costs, highest speed, and highest quality, a supply chain's activities must be actively planned and managed. Therefore, the correct fill-in is given in option (A): "Speed and quality."

What tasks go under supply chain management?

The process of getting a product from raw material to a consumer is called supply chain management. 

Supply management, demand and product planning, operations and sales planning, and supply planning are all included. 

When businesses discuss supply chain speed, they typically refer to how rapidly they can introduce new products to the market. 

Speed-to-market is one of the two top goals organizations have today for delivering effective new product launches, according to Gartner's analysis of numerous surveys.

The procedures used by businesses to evaluate, keep track of, and proactively manage the quality of the goods and procedures in the supply chain are known as supply chain quality management.

It is used to increase on-time delivery, shorten cycle and lead times, and establish a more reliable supply chain.

Therefore, as a result, option (A): "speed and quality" is the correct answer.

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In the "Input Analysis" section of the spreadsheet model, calculate the correlations between the sales of each type of product and event attendance. Use appropriate ranges from the "Past Event" worksheet for your calculations.

Answers

Answer:

The correct formula will be :

=average(past event tab then col in that tab) use this for att, programs, food, and merch

=AVERAGE('Past Events'!C4:C103)

Explanation:

To calculate the correlation between the sales of each kind of product and event attendance, from the Input analysis part of the spreadsheet model.

According to the information provided, in the targeted cell, we will use formula

=Average(data cells)

and for other part of the question is to calculate sales. For this part we can simply use the sum formula, first, we will sum the sales for a single item in past events column than at the end of the past column.

Thus, the correct formula will be :

=average(past event tab then col in that tab) use this for att, programs, food, and merch

=AVERAGE('Past Events'!C4:C103)

1.      A workshop prepared two articles A and B .The time required at different stages and profit per unit are shown below. Formulate the LP model   Work center product Cutting Machine Packing Profit per unit($) A 2 1 1 50 B 1 2 0.5 60 Total capacity 80 100 50  ​

Answers

This linear programming model maximizes the total profit (Z) obtained from articles A and B. The constraints ensure that the total capacity at each stage (Cutting Machine, Work center and Packing) is not exceeded.

What is linear programming model?

Linear programming is a mathematical modelling technique used to optimize a certain outcome given a set of constraints. The objective of linear programming is to maximize or minimize a function subject to certain linear constraints.

LP Model: Maximize Z = 50x_A + 60x_B

Subject to:

2x_A + x_B ≤ 80  (Total capacity at Cutting Machine)

x_A + 2x_B ≤ 100  (Total capacity at Work center)

x_A + 0.5x_B ≤ 50  (Total capacity at Packing)

x_A, x_B ≥ 0  (Non-negativity)

This linear programming model maximizes the total profit (Z) obtained from articles A and B. The constraints ensure that the total capacity at each stage (Cutting Machine, Work center and Packing) is not exceeded.

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The United States has a market economy, or free enterprise system.
True of False

Answers

Answer:

true

Explanation:

yes United states has market economies

Answer: True

Explanation: The free enterprise system is an economic system in which the government only exhibits partial dominance over market-correlated decisions; communism is an economic system in which the government exhibits full dominance over market-correlated decisions. The U.S.A. acts on the free enterprise system.

I did this assignment. God bless.

Which of the following funds will have the lowest potential rate of return? Emerging Market fund O Short term U.S. bonds (t-bills) O Large Growth fund O Blue Chip and Income Blend fund

Answers

Companies from developing nations and regions are the targets of investments made by funds focused on emerging markets.

These nations are still in the early stages of growth and generally offer greater long-term growth potential than developed market nations, albeit with greater risks.

Is investing in emerging markets risky?

Emerging markets are required to issue bonds with higher interest rates because they are perceived as being more risky. The likelihood of filing for bankruptcy increases as a result of the increased burden of debt. However, much of this asset class's unstable past has passed.

Are investments in emerging markets viable?

The potential for rapid growth is emerging market investments' greatest benefit. Diversification. Because growth in one country or region can offset economic downturns in another, international investments can be a good way to diversify your investment portfolio. This includes investments in the United States.

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What could be driving the tremendous growth in Salesforce.com’s stock price and revenue? and Why do you think investors put such a high premium on Salesforce.com’s stock?

Answers

Salesforce's fourth quarter of fiscal 2023, which concluded on January 31, saw a 14% year-over-year increase in revenue to $8.4 billion. Wall Street forecasts projected for $8 billion in revenue, thus this exceeded their projections.

Why investors put such a high premium on Salesforce.com’s stock?

Shares of Salesforce (CRM) are soaring after the software giant reported profits that above analyst expectations, provided a more optimistic outlook, and announced intentions to increase stock buybacks in response to pressure from activist investors. Salesforce's $8.4 billion in revenue increased by 14%, above the predicted 9.2% rise. The yearly revenue for Salesforce in 2023 was $31.352 billion, an increase of 18.35% over 2022.

Salesforce's yearly sales in 2022 increased by 24.66% from 2021 to $26.492 billion. A 24.3% rise from 2020, Salesforce's yearly revenue in 2021 was $21.252 billion. According to valuation criteria, Salesforce Inc. can be overpriced. It would not be a good choice for value investors, according to its Value Score of D. CRM's financial stability and expansion prospects show that company has the potential to perform worse than the market.

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Jim took out a loan for $6600 that charges an annual interest rate of 8.6%, compounded quarterly. Answer each part. If necessary, refer to the list of financial formulas. (a) Find the amount owed after one year, assuming no payments are made. Do not round any intermediate computations, and round your answer to the nearest cent. $______(b) Find the effective annual interest rate, expressed as a percentage. Do not round any intermediate computations, and round your answer to the nearest hundredth of a percent. $_____

Answers

(a) The amount owed after one year, assuming no payments are made, is $7386.55.
(b) The effective annual interest rate, expressed as a percentage, is 8.92%.


(a) The amount owed after one year, assuming no payments are made and the loan is compounded quarterly, is given by:

\(A=P\left(1+\frac{r}{n}\right)^{n\times t}$\)

Where P is the principal, r is the annual interest rate, n is the number of times compounded per year, t is the number of years, and A is the amount owed after t years.

In this case, P = $6600$, r = $8.6\%$, n = $4$ (quarterly compounding), and t = $1$ year.

Plugging these values into the formula, we get:

\($A=6600\left(1+\frac{0.086}{4}\right)^{4\times 1}=6600(1.0215)^4\approx 7386.55$\)

Rounding this to the nearest cent, we get that the amount owed after one year is $7386.55 dollars.

(b) The effective annual interest rate is the rate that results in the same amount after one year if interest is compounded once per year. It can be calculated using the formula:

\($r_{eff}=\left(1+\frac{r}{n}\right)^n-1$\)

In this case, r = $8.6\%$ and n = $4$ (quarterly compounding). Plugging these values into the formula, we get:

\($r_{eff}=\left(1+\frac{0.086}{4}\right)^4-1\approx 0.0892$\)

Converting this to a percentage and rounding to the nearest hundredth of a percent, we get that the effective annual interest rate is $8.92

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Data mining would be most helpful to a manager that wants to

Answers

Data mining would be most helpful to a manager that wants to discover unexpected relationships among the data stored by his/her organization.

Businesses employ the technique of data mining to transform unstructured data into information that is useful. Organization may learn more about their consumers to create more profitable campaigns, boost sales, and save expenses by utilizing software to explore for patterns in massive quantities of data. The efficient gathering, storage, and processing of data are essential for data mining.

Based on user requests, data mining tools examine correlations and patterns in data. An organization may employ data mining software to produce information classifications, for instance. As an example, consider a restaurant that wishes to utilize data mining to figure out when to run specific specials. It examines the data it has gathered and establishes classifications according to the frequency of client visits and the items they purchase.

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Carmen SanDiego, a U.S. citizen, is employed by General Motors Corporation, a U.S. corporation. On April 1, 2020, GM relocated
Carmen to its Brazilian operations for the remainder of 2020. Carmen was paid a salary of $131,000 and was employed on a 5-day-
week basis. As part of her compensation package for moving to Brazil, Carmen also received a housing allowance of $27,750.
Carmen's salary was earned ratably over the 12-month period. During 2020 Carmen worked 260 days, 195 of which were in Brazil and
65 of which were in Michigan.
How much of Carmen's total compensation is treated as foreign source income for 2020? (Do not round intermediate calculations.)
Total foreign source compensation

Answers

The amount of Carmen's total compensation treated as foreign source income for 2020 is $118,687.50

How much of Carmen's total compensation is treated as foreign source of income

To determine how much of Carmen's total compensation is treated as foreign source income for 2020, we need to calculate the portion of her salary and housing allowance that was earned while she was working in Brazil.

First, we need to calculate the portion of her salary that was earned in Brazil:

Salary earned in Brazil = (195/260) x $131,000 = $97,875

Next, we need to calculate the portion of her housing allowance that was earned in Brazil:

Housing allowance earned in Brazil = (195/260) x $27,750 = $20,812.50

Therefore, the total foreign source compensation for Carmen in 2020 is:

Total foreign source compensation = Salary earned in Brazil + Housing allowance earned in Brazil

= $97,875 + $20,812.50

= $118,687.50

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The franchisor generally does NOT provide the franchisee with:

Answers

The Franchisor doesn't provide the franchisee with extensive financial help. Hence, the above statement is appropriate.

Who is a Franchisor?

Franchisors are one of the most ultra-modern and new ways of marketing strategy which is being done for the business to prosper. Under this system, an owner of a business- that is the Franchisor lets other products by different individuals be sold under the banner of the Franchisor's Company.

The Franchisor in turn give the selling rights of the product under the Franchisor's brand name. This will give the person selling commodities, a potential loyal customer base of the Franchisor's Company.

The Franchisor will in turn earn more goodwill from the sale of those products and will also be earning some shares of the profit. The Franchisor doesn't provide extensive financial helps directly. But the sponsors of that Franchisor arrange for the finances. Hence, the above statement is proven.

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QUESTION 3
a) What are the similarities and differences between competitive firms and firms that
operate under imperfect competition?
b) How do you calculate the social welfare loss due to monopoly. Demonstrate your answer
using a well labelled diagram.
c) How does a monopolist generate more profits than that obtained under a uniform pricing
policy?

Answers

Jd Rueben tm e eke. Trike e. Wei he r ribs. Ernrnrntrne rrjejebbene rjdnebbrnr r r

Hector received three A’s and one b in his college course. What is his grade point average? Assume each course is three credits. A=4.0, b=3.0, c=2.0, d=1.0

Answers

Answer:

I think it is A id don't know

Which of the following is an insurance company?

Answers

what are the options?
cigna!
(saw your other post)

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

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An economist would be more likely to argue against reducing inflation if she thought that a. the central bank lacked credibility and if bonds were usually not indexed for inflation. b. the central bank lacked credibility and if bonds were usually indexed for inflation. c. the central bank had credibility and if bonds were usually not indexed for inflation. d. the central bank had credibility and if bonds were usually indexed for inflation.

Answers

Answer:

b. the central bank lacked credibility and if bonds were usually indexed for inflation.

Explanation:

Economics can be classified into two (2) categories, namely;

1. Microeconomics can be defined as the study of the effect of price and quantity levels through interactions between individual buyers and sellers in various markets.

Hence, it is focuses on analyzing or evaluating the decisions of consumers (buyers) and those of firms (sellers) such as methods of production, pricing; and the manner in which government policies affect those decisions.

2. Macroeconomics can be defined as the study of behaviors, performance and factors that affect the entire economy. Hence, it focuses on aggregate phenomena such as price level, economic growth, Gross Domestic Product (GDP), inflation, unemployment and national income levels with respect to the central bank, demand or supply shocks, government policies, aggregate spending and savings.

Inflation can be defined as the persistent general rise in the price of goods and services in an economy at a specific period of time.

Generally, inflation usually causes the value of money to fall and as a result, it imposes more cost on an economy.

When this persistent rise in the price of goods and services in an economy becomes rapid, excessive, unbearable and out of control over a period of time, it is generally referred to as hyperinflation.

In conclusion, an economist is more likely to argue against a reduction in inflation if she thought that the central bank lacked credibility and if bonds were usually indexed for inflation.


How are state Insurance Guaranty Associations funded?

Answers

Every state has a guarantee fund that is created by legislation. To safeguard policyholders in the event that an insurer goes bankrupt or is unable to pay its debts, a state's insurance commissioner maintains guarantee funds.

It is possible for a borrower to approach a bank for a loan since a guarantee fund offers a loan or credit guarantee. When a borrower lacks adequate security, such as real estate or other assets, guarantees can be quite helpful. The lack of (enough) collateral is practically universal among small borrowers. Guarantee insurance entails that an insurance firm, rather than a bank, provides a guarantee to your business.

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Jeff's Meat Market recorded the following events involving a recent purchase of
merchandise:
Received goods for $40,000, terms 2/10, n/30.
Returned $800 of the shipment for credit.
Paid $300 freight on the shipment.
Paid the invoice within the discount period.
As a result of these events, the company's inventory

Answers

As a result of these events, the company's inventory increased by $38,612 by all these factors.

How does inventory work?

Inventory is the term used to describe all the products, materials, goods, and merchandise that a company has on hand and plans to sell to customers for a profit. The only item that will be regarded as inventory is the newspaper if the vendor delivers newspapers to customers using a vehicle. The car will be handled like an asset.

What fundamentals surround inventory?

The items that your company has are the most fundamental definition of inventory. These may be material (i.e., goods and raw materials) or intangible (e.g., software). Most of the time, when we talk about inventory, we simply mean all the items that the company has kept on hand—to sell.

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simplify:(x-8y) and (x+8y). Also find its value when x=1 and y=3 since 1900, how significant (fatalities and damage) have earthquake and eruption disasters been in the u.s. compared to other types of natural disaster? geol 1003 On a test, a student completed some questions worth 4 points and some questions worth 5 points. The student earned a score of 75 aftercorrectly answering 18 questions.How many questions worth 4 points did the student correctly answer?1521320 a local bakery was trying to determine what kind of desserts their customers would like to see offered in the bakery they conducted several random surveys over a period of two weeks to gather data on customers preferred desserts the results of the surveys are shown in the table? why are occurrences of midlatitude cyclones less common over the united states in late summer than in winter and spring? what are three of the qualities required for a healthy relationship Identify the sentence that lacks parallel structure. HELP ITS A EMrgancy I HAVE 4 mins left What musical clich would fit a scene where soldiers open fire?A. Gun shots, loud and dynamicB. Dissonant sustained chordsC. Slow tempo, legato, major keyD. Fast tempo, constant rhythms, sequences PLEASE PLEASE HELP ITS AN EMERGENCY!!!Find the perimeter of the window to the nearest hundredth. How does the location of the United Kingdom influence its trade practices? Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve for x. 7x = 42 . how does one maintain success rate? only accept tasks you are capable of completing click on "i accept this job" revise your task within 24 hours place an initial $10 deposit URGENT NEED ANSWER NOWWWW!!! WORTH 27 POINTS!!!Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.A. 9+x=108B. x=108-9C. x=108/9D. x=9/8 Which lines from Act 3 Scene 3 of Romeo and Juliet show Friar Laurence believes? Passive transport is the movement of substances across a cell membrane without the use of Which decimal is greater: 4.58 or 4.5? Which of the following marked the achievement of a long-held suffragist goal in the early 1900s?the Declaration of Sentimentsthe Fifteenth Amendment to the ConstitutionCatts Winning Planthe Nineteenth Amendment to the Constitution A 1.5-m-long tubular steel shaft of 38-mm outer diameter d1 is to be made of a steel for which all = 65 MPa and G = 77.2 GPa. Knowing that the angle of twist must not exceed 4 when the shaft is subjected to a torque of 700 Nm, determine the largest inner diameter d2that can be specified in the designThe largest inner diameter d2 that can be specified is mm. Before expanding to a new country, a company studies the population trends of the region. They find that at the start of 1989 the population of the country was 20 million people. However, the population had increased to 50 milison people by the beginning of1997.LetP(t)give the total population of the country in millions of people, wheret=0is the beginning of 1989 . AssumeP(t)follows an exponential model of the forrP(t)=y0+(b)t.(a) Transtate the intormation given in the first paragraph above into two data points for the functionP(t). List the point that corresponds to 1989 first.P()=P()=(b) Next, we will find the two missing parameters forP(t). First,=Then, using the second point from part (a), solve forb. Round to 4 decimal places.b=Note: make sure you have b accurate to 4 decimal places betore proceeding. Use this rounded value for b for all the remaining steps. (c) Wite the functionP(t).P(t)=(d) Estimate the population of the country at the beginning of 2002 (round to 2 decimal places). Acoording to our model, the population of the country in 2002 is about milion people. (e) What is the doubling time for the population? in other words, how long will it take for the population to be double what it was at the start of 1989 ? Solve fortany round to 2 decimal places. The doubling time for the population of the country is about years.