A solenoid with 2000 turns/meter is connected to a power source that delivers an increasing current i60t^2 Ampere.The solenoid has a length of 0.2 m and a radius of 0.05 m.

a.what is the magnetic field as a function of timr inside the solenoid?

b.Use Faraday's law to find the induced emf caused by this changing magnetic field.

1. Draw time lines for (a) a $2000 lump sum cash flow at the end of year 4, (b) an ordinary annuity of $1000 per year for 5 years, and (c) an uneven cash flow stream of -$450, $1000, $650, $850 and $500 at the end of years 0 through 4.
2. What is the future value of an initial $1000 after 5 years if it is invested in an account paying 5% annual interest?
3. What is the present value of $1000 to be received in 4 years if the appropriate interest rate is 5%?
4. We sometimes need to find out how long it will take a sum of money (or anything else) to grow to some specified amount. For example, if a company's sales for 2020 is $1000 and expected to grow at a rate of 10% per year, how long will it take sales to double?
5. If you invested $10,000 in an investment account and you expect it to double in 4 years, what interest rate must it earn?
6. What is the future value of a 5-year ordinary annuity of $1000 if the appropriate interest rate is 5%? What is the present value of the annuity?
7. What is the future value of $1000 after 4 years under 10% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding
8. What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 5%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?
9. Construct an amortization schedule for a $1,000, 12% annual rate loan with 4 equal installments. What is the annual interest expense for the borrower, and the annual interest income for the lender, during Year 2?
10. Suppose on January 1 you deposit $1000 in an account that pays a nominal, or quoted, interest rate of 12%, with interest added (compounded) daily. How much will you have in your account on October 1, or 9 months later?
11. You want to buy a car, and a local bank will lend you $10,000. The loan would be fully amortized over 6 years (72 months), and the nominal interest rate would be 10%, with interest paid monthly. What is the monthly loan payment?
12. While Mary Corens was a student at the University of Tennessee, she borrowed $20,000 in student loans at an annual interest rate of 5%. If Mary repays $200 per year, then how long (to the nearest year) will it take her to repay the loan?

In 2000, BMW followed the time-honored practice of launching a new product – in this case, its new X5 sports utility model – with Super Bowl TV commercials a print advertising campaign. But to capture the interest of its Net-savvy target audience, it also kicked off a hightech online campaign. The objective was to build the brand among high-income, middle-aged males who usually buy high performance autos and younger. As the Digital Marketing Manager of BMW, you are required to present following information to the board of directors. Your essay must cover the following sub-sections:

1. Describe approaches used by BMW within its site design and promotion to deliver relevant offers for their online customers.

In 2000, BMW followed the time-honored practice of launching a new product – in this case, its new X5 sports utility model – with Super Bowl TV commercials a print advertising campaign. But to capture the interest of its Net-savvy target audience, it also kicked off a hightech online campaign. The objective was to build the brand among high-income, middle-aged males who usually buy high performance autos and younger. As the Digital Marketing Manager of BMW, you are required to present following information to the board of directors. Your essay must cover the following sub-sections: (this subject is about digital marketing)

3. When designing the interactive services of a website, what steps should the BMW designer take to provide a quality service to customers?

In 2000, BMW followed the time-honored practice of launching a new product – in this case, its new X5 sports utility model – with Super Bowl TV commercials a print advertising campaign. But to capture the interest of its Net-savvy target audience, it also kicked off a hightech online campaign. The objective was to build the brand among high-income, middle-aged males who usually buy high performance autos and younger. As the Digital Marketing Manager of BMW, you are required to present following information to the board of directors. Your essay must cover the following sub-sections: (this subject is about digital marketing)

2. Explain the benefits to BMW of creating virtual communities and how such communities can be used as part of relationship marketing.

Monica bought a $2000 4K Ultra HD TV for 10% down, with the balance to be paid with interest at 13% compounded monthly in six equal monthly payments. Construct the full amortization schedule for the debt. Calculate the total interest paid.

Imagine you have $2000 to invest. There are two companies' stocks that are available. Stock A is currently selling for $50 and will either go up to $75 or down to $40. Stock B is currently selling for $100 and will either go up to $130 or down to $80. Consider the following strategies

f. Short sell $1000 of corporation A and put all $3000 in corporation B.

What are your possible payoffs? What are your possible returns?

A poll showed the approval rating to be 0.49 ​(49​%).

A second poll based on 2000 randomly selected voters showed that 964 approved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly lower than the original​ level? Explain. Assume the a=0.01 level of significance.

Find the test statistic for this hypothesis test.

z=_________

​(Round to two decimal places as​ needed.)

‘Applecore’ is one of the leading management consultancy firms in the UK since early 2000 and they have an enviable track record among a diverse clientele across several major industries in the region. You have recently joined Applecore as a management consultant and your firm, on the basis of a good reference from another long-standing client of yours, has received a call from a large automobile manufacturer to go and meet them for discussions to explore if your firm can take up a major consultancy work for them in the background as below.

The automobile manufacturer performed extremely well since its inception in 1995 but in the last 3-4 years they have been posting continuously disappointing results owing to the increasing competition from imported brands, a somber growth of the economy and a variety of other reasons. The manufacturer realized they cannot continue with this kind of a performance for long for reasons of diminishing profitability and hence are planning to hire one of the leading management consulting firms to undertake a consultancy work in the hope that the consultancy firm would be able to do a rigorous study of their value chain and come up with feasible solutions for restoring their profitability and set them back on a promising future track.

This automobile manufacturer, new to Applecore, is assigned to you as your new client by your firm and your immediate job is to initiate the first meeting with them to understand their requirements, make an effective pitch to bag the consultancy contract in the light of stiff competition coming from other good leading consultancy firms also vying for the same contract. You are further expected to work and deliver on the project within challenging timeframes.

         In the background of the above case, answer questions 3 and 4 below:

Q1. As a management consultant, how will you go about bagging and delivering the project?

Q2. Considering the nature of the consultancy assignment that requires in-depth value analysis, what and how will you apply/use an appropriate analytical model to the client’s business?