There is an 12-year bond with a par of $1,000 and a coupon of 5.20%. Suppose the bond is bought today at a price of $1,032.60, and the market interest rate is 4.82%. It turns out that in 4 years an investor sells the bond at a price of $1,059.12. Calculate the annual realized return over the 4 years the investor held the bond. Show your work and explain. (8 points).

Answers

Answer 1

The annual realised return over the four years is 5.63%

What is the  annual realised return?

The  annual realised return is the total return earned from holding the bond given its coupon payments, purchase price and the price at which it was sold.

The  annual realised return can be determined using a financial calculator:

Cash flow in year 0 = -1032.60 Cash flow each year from year 1 to 4 = 5.20% x 1000 = $52Cash flow in year 4 = $1059.12

annual realised return = 5.63%

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Related Questions

create a(n) _____ query to change the name of a supervisor in an employee table.

Answers

create an update query to change the name of a supervisor in an employee table. Hence, the correct answer is update query. Read below about update query.

What is an update query?

An Update query is a type of action query that makes changes to several records at the same time. For example, you could create an Update query to change the name of a supervisor in an employee table.

Therefore, the correct answer is update query.

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John Reynolds established a $500,000 trust, the income from which is to be paid to Mansfield University for general operating purposes. The present value of the income is estimated at $500,000. The Wyndham National Bank was appointed by Reynolds as trustee of the fund. What journal entry is required in Mansfield's books

Answers

Based on the trust amount and the present value of income, the journal entry in Mansfield's books is:

Date          Account title                                   Debit              Credit

                 Beneficiary Interest in Trust       $500,000

                 Contributions with Donor                                      $500,000.

                  Imposed Restrictions

What journal entry would record the transaction?

The beneficiary interest account should be debited with the $500,000 that was used to establish the trust.

It should be credited to the Contributions account but only an account that accounts for the restrictions on usage.

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Orlando wants to become a certified public accountant. which career cluster is he interested in? a. manufacturing b. transport, distribution, and logistics c. finance d. marketing

Answers

The fact that Orlando wants to become a certified public accountant means that the career cluster he is in is C. Finance.

What career cluster is accounting?

A career in accounting is found in the finance career cluster which deals with other subjects that have to do with financial services.

Apart from accounting, the finance cluster would include things like investment banking, banking, and credit analysis.

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bundling products makes sense for the seller when:

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Bundling of product is a tactic to sell the products and usually the sellers use this type of marketing techniques to sell their products.

What is a Product?

A product is a commodity that is produced by a seller and is then sold to the consumer, at a market price.

Bundle of products are made when there are products that have low demand and are not sold separately, these type of products are bundled with the products that have high demand and are presented as a bundle on a relatively cheaper price to attract the customer.

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If you need a mortgage for a home purchase, what should your first course of action be?

Answers

We can actually deduce here that if one needs a mortgage for a home purchase, the first course of action will be: C. Visit loan officers at various lending institutions and apply for the loan.

What is mortgage?

Mortgage refers to a loan that buyers of real properties place in order to raise funds which they can use to buy real estate.

Here are the options that complete the question:

A. Create a new loan for a new fishing boat

B. Ask your credit card company for just one credit score

C. Visit loan officers at various lending institutions and apply for the loan

D. Contact people that can advocate for your character and have them write letters of recommendation.

We see that one that needs mortgage for a home purchase, will first visit loan officers at various lending institutions and apply for the loan.

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Jack went to the ABC Casino to gamble. ABC offers its customers one free spin of the Million Dollar Wheel if they fill out an application form. Jack filled out the form, spun the Million Dollar Wheel, and won. However, now ABC refuses to pay, claiming that because Jack did not purchase his chance at the Million Dollar Wheel, Jack gave no consideration and therefore, no contract was formed. Identify the accurate statment

Answers

As regards Jack's claim, the truth is that C. A contract was formed because filling out an application can constitute legal consideration.

Why is Jack's claim legitimate?

Jack may not have purchased his chance at the Million Dollar Wheel, but he was allocated a free spin if he filled a form which he did.

That application form constitutes a legal consideration because it was signed with the promise that he could get a free spin.

Options for this question include:

A. No contract was formed because Jack paid no money for his chance at the Million Dollar Wheel.

B. No contract was formed because ABC did not sign any written contract as an obligation to do so.

C. A contract was formed because filling out an application can constitute legal consideration.

D. A contract was formed because no consideration is needed when a customer takes advantage of a "free" offer.

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Lighfoot Company sells its product for $55 and has variable costs of $30 per unit. Total fixed costs are $25,000. Suppose variable costs increase by 10% due to an increase in the cost of direct materials. The breakeven point will a. increase from 1,000 units to 1,136 units b. decrease form 1,000 units to 864 units c. increase from 758 units to 1,000 units d. decrease from 1,000 units to 758 unit

Answers

The break-even point for Lightfoot Company will a. increase from 1,000 units to 1,136 units.

What is the break-even point?

The break-even point shows the sales units or sales revenue needed so that the entity does not earn a profit or incur a loss.

At break-even point, there is not profit or loss because the total costs (fixed and variable) equal to the sales revenue.

Data and Calculations:

Selling price per unit = $55

Variable costs per unit = $30

Contribution margin per unit = $25 ($55 - $30)

Fixed costs = $25,000

Increase in variable costs per unit = 10%

New Variable costs per unit = $33 ($30 x 1.1)

New Contribution margin per unit = $22 ($55 - $33)

Break-even point in units = fixed costs/contribution margin per unit

Old break-even point in units = 1,000 units ($25,000/$25)

New break-even point in units = 1,136 units ($25,000/$22)

Thus, the break-even point for Lightfoot Company will a. increase from 1,000 units to 1,136 units.

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Brad is a cardiovascular surgeon in a group practice at Emory University. Within his practice, Brad is the surgeon who puts in stent grafts. Other group members are transplant surgeons and surgeons. This example shows that, unlike goods, services are _______. a. more heterogeneous and less standardized and uniform b. stored, warehoused, and inventoried c. tangible performances d. produced in a centralized location and consumed in decentralized locations

Answers

Based on the role that Brad plays and the roles played by the other group members who are transplant surgeons, services are a. more heterogeneous and less standardized and uniform.

How do services differ from goods?

Services are not as standardized as goods because they often need to be tailored to the needs of the customer.

Brad puts in stent grafts depending on the injury, and the other transplant surgeons have to customize their services as well. This shows that services are heterogenous for the most part.

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What is the likely effect on the market for wine of a simultaneous increase in both consumer incomes and producer taxes on wine?

Answers

If there was an increase in both consumer incomes and producer taxes, the market for wine would see an increase in price.

How would the wine market be affected?

An increase in producer taxes on wine would increase wine prices as producers aim to pass on the taxes to consumers.

Prices will also increase when consumers have more income and demand more wine. The overall effect is there an increase in the price of wine.

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You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $28,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $28,000 annuity

Answers

Explanation:

If A = { a , c , e } , B = { b , c , d ) and C = { a , c , d , f ) , find n ( A cap B cap C )

Adam smith believed that _____________ would lead to the production of items that consumers want.

Answers

Adam smith believed that consumer demand leads to the production of items that consumers want.

What is Consumer Demand?

A group's desire for a good or service based on availability is measured economically as "consumer demand." It serves as a representation of consumer purchase behavior and aids in identifying demographic-specific purchasing patterns.

Thus, consumer demand leads to the production of items that consumers want. It serves as a representation of consumer purchase behavior and aids in identifying demographic-specific purchasing patterns.

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In a brief statement, in your own words, please describe why you are an ideal candidate for this position. (retail store)

(lengthy but not too lengthy)

Answers

I feel like I could be ideal for this because I know how to communicate with others pretty well, & I can try to help customers as best as I can

In a retail store, a candidate will be considered as an ideal who has good and effctive communication skills with customer handling.

What is the retail store?

Retail stores are referred to as brick-and-mortar stores where there are commodities present in small quantities and where there is direct interaction with customers takes place.

Retail sales often require dealing with consumers and developing connections with them, therefore an ideal candidate should be personable and outgoing so that he can interact with the customers and their queries.

Retail sales entail talking with customers, answering their inquiries, and addressing any issues they may have. Because retail sales can be fast-paced and unpredictable, an ideal candidate should have strong problem-solving abilities.

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Canine Industries anticipates investment in equipment designed to improve the efficiency of its operations. The company anticipates that the investment will generate $10,000 in revenue in addition to producing annual cost savings of $40,000. If the tax rate applicable to the company is 25%, what are the anticipated after-tax cash flows of the investment

Answers

The amount of after-tax cash flows for Company C on its investment is $37,500.

What is an after-tax income?

After-tax income is the gains earned by the company in an accounting year that remain after adjusting its income taxes.

Given values:

Revenues: $10,000

Savings: $40,000

Total investment income: $50,000 ($10,000 + $40,000)

Rate of tax: 25%

Computation of after-tax cash flows of an investment project:

[tex]\rm\ After-tax \rm\ cash \rm\ flows=\rm\ Total \rm\ investment \rm\ income - (\rm\ Total \rm\ investment \rm\ income \times\ 25\%)\\\rm\ After-tax \rm\ cash \rm\ flows= \$50,000- (\$50,000 \times\ 25\%)\\\rm\ After-tax \rm\ cash \rm\ flows=\$37,500[/tex]

Therefore, $37,500  is the value of after-tax ash flows being earned from the investment in equipment.

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Gus' Grill, a food truck restaurant in an urban city, worked with a local bank for a __________. This unsecured source of funds was available for Gus to tap into if he needed immediate funds for the business. He liked the fact that he had a cushion and only used it if he fell short of funds. Multiple Choice promissory note trade credit revolving credit agreement line of credit

Answers

As per the given situation, Gus' Grill, a food truck restaurant in an urban city, worked with a local bank for a line of credit. Thus the correct answer is D.

What is a line of credit?

A Line of Credit is a contract that a financial institution mainly a bank has with a customer that specifies the largest loan amount the customer is permitted to take out.

The borrower is permitted to draw money from the LOC whenever they need it, as long as they don't go over the maximum limit mentioned in the agreement.

Gus Grill may even use the unsecured source of money if he required quick cash for the company; this is referred to as the Line of Credit.

Therefore, the option D line of credit is the appropriate answer.

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Bell Repair Service allocates overhead based on $50 per trip to each home that requests repair work, plus $1.20 per mile driven to the home. During the past week, Bell provided repair services for 20 customers with average driving distance of 15 miles each. What is the amount of overhead allocated for the week?

Answers

The amount of overhead allocated for the week will be $1360.

How to calculate the amount?

The amount of overhead allocated for the week will be calculated thus:

= (20 × $50) + (15 × $1.20 × 20)

= $1000 + $360

= $1360

Therefore, the amount of overhead allocated for the week will be $1360.

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Studio Films is considering the purchase of some new film equipment that costs $150,000. It has a 5 year useful life with no salvage value. The new equipment is expected to increase revenues by $115,000 annually. Annual incremental cash operating expenses are expected to be $40,000. The simple rate of return of the equipment is

Answers

The simple rate of return to Studio Films on its film equipment based on its cost will be 30%.

What is the simple rate of return?

Find the annual income:

=Revenue - Expenses - Depreciation

= 115,000 - 40,000  (150,000 / 5 years)

= $45,000

The simple rate of return is:

= 45,000 / 150,000 cost

= 30%

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Which important biochemical process receives a supply of nad ions from the fermentation process during anaerobic respiration?

Answers

Answer:

Glycolysis

Explanation:

Glycolysis is the process that receives a supply of NAD+ ions from the fermentation. When cells need energy but there is no oxygen for aerobic respiration than anaerobic respiration takes place.

A driver brought an action for negligence against a motorcyclist in federal district court arising out of a car accident. The motorcyclist collided with the driver's car after he was unable to brake in the rain while driving down a hill. At the close of all evidence, the motorcyclist moved for judgment as a matter of law. The court denied the motion and submitted the case to the jury. Following a brief deliberation, the jury returned a verdict in favor of the driver, assessing $100,000 in damages. The court then entered judgment against the motorcyclist. Six months later, the manufacturer of the motorcycle issued a product recall for the brakes. The manufacturer had discovered that the brakes did not operate in the rain if the motorcycle was being driven downhill. Neither the manufacturer nor the motorcyclist was aware of this defect during the motorcyclist's trial, despite examination of the motorcycle by experts. At this point, what is the appropriate motion for the motorcyclist's lawyer to file

Answers

Given the case that is presented here the best thing for the lawyer to file would be a  Relief from judgment.

What is a relief from judgment?

This can be described as the motion that is made to a law court that has them asking for the correction of a mistake that was made in the given judgment.

This could be as a result of certain mistakes and oversights. From what is read here, neither the manufacturer or the cyclist was aware of the defect at the time that the trial was ongoing.

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g Evaluate the following three statements about impact of interest rates. I. As interest rates increase, the present value of a single payment increases. II. As interest rates increase, the present values of annuities decrease. II. As interest rates increase, the future values of annuities increase, Which statement/s is/are correct

Answers

The true statements about the impact of interest rates are:

II. As interest rates increase, the present values of annuities decrease. II. As interest rates increase, the future values of annuities increase.

What happens when interest rates increase?

The present value of annuities and single payments will decrease because they will be discounted by a higher rate.

The future value of an annuity will increase however because the rate used to compound the annuity would have increased.

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Question 1
Which of the following is not a form of earned income?

Answers

Answer:

rental income

Explanation:

hope this is right and helps

An investor has ​$ to invest in a cd and a mutual fund. The cd yields ​% and the mutual fund yields ​%. The mutual fund requires a minimum investment of ​$​, and the investor requires that at least twice as much should be invested in cds as in the mutual fund. How much should be invested in cds and how much in the mutual fund to maximize the​ return? what is the maximum​ return?.

Answers

The amount of $25,000 will be invested in the mutual funds while the amount of $50,000 will be invested in the CDs.

What represents the Two Investment?

Let X represent the amount in Mutual Funds and Y represent the amount in CDs.

The constraints includes:

Y = 2x; x>9000; Y = 75000 - x

Now, there need to be at least 2x + x = 75000; 3x = 75000; x = 25000

Now, given that x equals $25,000, then, the mutual funds equals $25,000 while the Y equals $50,000 for CDs ($75,000 - $25,000).

Therefore, the amount of $25,000 will be invested in the mutual funds while the amount of $50,000 will be invested in the CDs.

Complete question "An investor has 75,000$ to invest in CD and mutual funds. The CD yields 7% and mutual funds 5%. the mutual fund requires a minimum investment of $9000 and the investor requires that at least twice as much should be invested in CDs as mutual funds. How much should be invested in Cds? How much in mutual funds? what is the maximum return?"

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A national grocery chain is divided into well-demarcated groups such as the Northeastern division, the Northwestern division, the Southeastern division, and the Southwestern division. These divisions have been set up based on the location of large groups of customers the company serves. In the context of departmentalization, this company is most likely using a(n)

Answers

Based on the fact that the divisions of this national grocery chain are set up in such a way that they can serve different locations, this is a geographic structure.

What is a geographic structure?

This is a departmentalization style where a company creates divisions in various areas to service their customers located in those places.

This is what this national grocery chain is doing by setting up divisions in various areas to access their customers around the country.

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Linda just got approved on an ARM mortgage. What is true?
O Her taxes will be reduced.
O She has a secured loan.
O Her interest will be fixed.
O She cannot make a down payment.

Answers

Answer:

[tex]\fbox {She has a secured loan.}[/tex]

Explanation:

We know from basics that by a mortgage, we understand that we put our asset down as a collateral so we can take a loan and this asset will be under the lender's control until repayment.

An ARM mortgage means that the interest rate can be gradually changed based on performance benchmarks, such as a change in it every 6 months.

Hence, by this, we can understand that the loan is secure.

over time, the members of an organization have developed ______ as a result of coping with the organization’s challenges and coordinating resolutions that work for them.

Answers

Over time, the members of an organization have developed patterns as a result of coping with the organizational' s challenges and coordinating resolutions that work for them.

What are organizational challenges?

A major challenge faced by organizations is the need to ensure consumer needs are concentrated on, while also striking a balance among the interests of countless other people or groups.

Hence, over time, the members of an organization have developed patterns as a result of coping with the organizational' s challenges and coordinating resolutions that work for them.

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How to find marginal product of labor from production function

Answers

The best way to find the marginal product of labor from the production function is by dividing the change in output divided by the change in labor

What is the Marginal Product of Labor?

This refers to the change in output as a result of an increase in the unit of labor.

Hence, we can see that for this to occur, all other factors have to remain constant, and to get the marginal product of labor from the production function, one would have to divide the change in output divided by the change in labor.

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Suppose you work in Management and are collaborating with Human Resources to create a regression equation to predict turnover (people quitting their jobs). You believe that job satisfaction (as measured on a 50-point scale), age of the employee (in years), and the current unemployment rate will all be useful predictors and you want to test your model. When building the Complete 2nd Order Model, you will need to do all EXCEPT which of the following:

Answers

We can actually deduce here that when building the Complete 2nd Order Model, one can do all except: C. Create an interaction between age and each of the levels of job satisfaction.

What is Complete Second Order Model?

The complete second degree (order) model is actually known to be a polynomial model that includes the linear terms, second degree terms and the interaction term.

The options that complete the question are:

A. Create a curvilinear term for job satisfaction

B. Create an interaction between unemployment rate and age

C. Create an interaction between age and each of the levels of job satisfaction

D. Create a curvilinear term for age.

Thus, options C is the one that wouldn't be carried out in the Complete Second Order Model.

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Under what circumstances does fair use apply

Answers

Answer:

Fair use protects the usage of copywritten content under the condition that the content is criticizing or parodying said content

Explanation:

Abby applies for a federally-related loan to purchase a home. The lender must furnish a copy of the CFPB booklet to Abby no later than the third business day from which date?

Answers

The lender must furnish a copy of the CFPB booklet to Abby no later than the third business day from: A. The date Abby receives the good faith estimate

What is CFPB ?

CFPB which full meaning is  Consumer Financial Protection Bureau is an agency whose roles and responsibility is to protect consumers.

Based on the given scenario the lender have to furnish a copy of the CFPB   to the borrower  no later than the third business day from the date the borrower receives the good faith estimate.

Therefore the correct option is A.

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The complete question is:
Abby applies for a federally-related loan to purchase a home. The

lender must furnish a copy of the CFPB booklet to Abby no later than the third business day from which date?

The date Abby receives the good faith estimate.

The date escrow is opened.

The date the lender receives her application.

The date Abby makes the request to receive the booklet.

Molly wants to start a new business in collaboration with her husband and sister-in-law. the features she is looking for in the business are as follows: least possible regulatory controls, faster decision making, and ease of organization. she also wants a business in which she will not be forced to pay off any business debts from her personal assets. which type of business ownership is best suited to her needs
a. s corporation
b. sole proprietorship
c. limited partnership
d. general partnership
e. c corporation

Answers

The type of business ownership is best suited to her needs limited partnership. Thus option (C) is correct.

What is Partnership Business?

A partnership business consists of two or more individuals who pool their resources to create a company and agree to split the risks, rewards, and losses.

Law firms, medical groups, real estate investment firms, and accountancy groups are examples of common partnership businesses.

According to the above, scenario, Molly with her husband and the sister-in- law as partners wanted to start a business. She wants faster decision making, least regulation and ease in doing business.

All the requirement of her matches with the limited partnership type of the business where the liability of all the partners are limited to their amount of investment.

Thus option (C) is correct.

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The _____ rate of interest on a bond is the interest rate printed on the bond; the ______ rate of interest is the current rate of interest being paid on investments with similar characteristics. (Enter one word per blank)

Answers

The coupon rate of interest on a bond is the interest rate printed on the bond; the bond rate of interest is the current rate of interest being paid on investments with similar characteristics.

What is coupon rate?

Coupons are normally described in terms of the "coupon rate", which is calculated by adding the sum of coupons paid per year and dividing it by the bond's face value.

What is a bond interest rate?

A bond's interest rate is related to the present indicating interest rates and the perceived risk of the issuer.

Therefore, the correct answers are as given above.

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Please help!!!!Write the equation of the circle in general form. Show all your work Which endocrine gland releases a hormone to regulate calcium levels in the bloodstream ? A. Thyroid B. Pituitary gland C. Adrenal gland D. Pancreas What is the slope in f(x)=6x+7 Some critics of the unemployment rate say that it under-reports the actual unemployment problem by: PLSSS HELP ITS DUE TODAY!!!Read the following passage from To Kill a Mockingbird, and then answer the question below:Before bedtime I was in Jems room trying to borrow a book, when Atticus knocked and entered. He sat on the side of Jems bed, looked at us soberly, then he grinned. Erhrm, he said. He was beginning to preface some things he said with a throaty noise, and I thought he must at last be getting old, but he looked the same. I dont exactly know how to say this, he began. Well, just say it, said Jem. Have we done something? Our father was actually fidgeting. No, I just want to explain to you thatyour Aunt Alexandra asked me... son, you know youre a Finch, dont you? Thats what Ive been told. Jem looked out of the corners of his eyes. His voice rose uncontrollably, Atticus, whats the matter? Atticus crossed his knees and folded his arms. Im trying to tell you the facts of life. Jems disgust deepened. I know all that stuff, he said. Atticus suddenly grew serious. In his lawyers voice, without a shade of inflection, he said: Your aunt has asked me to try and impress upon you and Jean Louise that you are not from run-of-themill people, that you are the product of several generations gentle breeding Atticus paused, watching me locate an elusive redbug on my leg. Gentle breeding, he continued, when I had found and scratched it, and that you should try to live up to your name Atticus persevered in spite of us: She asked me to tell you you must try to behave like the little lady and gentleman that you are. She wants to talk to you about the family and what its meant to Maycomb County through the years, so youll have some idea of who you are, so you might be moved to behave accordingly, he concluded at a gallop. Stunned, Jem and I looked at each other, then at Atticus, whose collar seemed to worry him. We did not speak to him. Presently I picked up a comb from Jems dresser and ran its teeth along the edge. Stop that noise, Atticus said. His curtness stung me. The comb was midway in its journey, and I banged it down.Question:Jem and Scout are not seen as living up to their status of a little lady and a young gentleman. Provide a piece of explicit evidence and a piece of implicit evidence to support this idea. a burning candle wax reacts with oxygen. after a glass jar is placed over it, the candle goes out. what is the limiting reactant? Why is it important that diverse areas of the forest are monitored when counting trees? What could happen if this wasnt done? Prevention Strategies1"Adverse events can be avoided by anymeans currently available unless themeans is not considered standard care"is a definition that BEST describes: Explain HOW the modern day (within the past 22 years) example illustrates the elements of civil disobedience as outlined by Thoreau and, possibly, other adherents of this philosophy -- Gandhi, MLK, etc. Let 5, 3 be a point on the terminal side of . Find the exact values of cos, csc, and tan. what energy is transferred during translation Assume that you measured exactly 2.0 mL of the sodium chloride solution into a small test tube. How many moles ofsodium chloride are in the tube? A hydrogen bond forms by the electrostatic interaction of opposite charges in two molecules. Ifthe bond length is 2x10 -10 m and the magnitude of the charges involved isapproximately 1.60x10 -20C, what is the force between the molecules involved in the bond? Lucia wants to change the motion map shown so that its shows uniform circular motion. What change should Lucia make ? Why you should during the school year which is a fact from.the passage G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC Which function is the result of vertically stretching f(x) = x ^ 2 - 7 by a factor of 2 and translating downward 5 units? Why do good speakers use some of the specialized vocabulary related to a topic? Group of answer choices Listeners will believe that the speaker knows a lot about the topic if he or she uses those words. Some listeners will get bored if they dont hear at least a few words that they dont know. Specialized vocabulary helps the speaker remember his or her main points. Global Marketing contracted with Tech Smart Company to maintain Global's computer system. Global's marketing process depends on its computer system operating properly at all times. A liquidated damages clause in the contract provided that Tech Smart pay $1,000 to Global for each day that Tech Smart was late responding to a service request. On September 1, Tech Smart was notified that Global's computer system had failed. Tech Smart did not respond to Global's service request until September 15. If Global Marketing sues Tech Smart under the liquidated damages provision of the contract, Global will: Which sentence uses correct capitalization? A. My first job at the newspaper was to interview Dianne Feinstein, who was the mayor of San Francisco in 1980. B. Earth's largest ocean, the Pacific ocean, got its name from the Portuguese explorer Ferdinand Magellan. C. Holden Caulfield, the narrator in J. D. Salinger's Catcher In The Rye, is well-known for being a cynical and detached adolescent. D. The American chewing gum manufacturer William Wrigley, Jr., said, "when two men in business always agree, one of them is unnecessary."