Create the generating functions in closed form ( not as an infinite sum) using the sequences:

example: 1,1,1,1,1,1,... = 1/(1-x)

1. 0,1,1,1,1,1,...

2. 1,0,0,1,0,0,1,0,0,1,0,0,1,...

3. 0, 0,0,0,1,1,1,1,1,1,1,1,1,...

4. 1, -1, 1, -1, 1,....

5. 1,1,1,0,0,1,1,1,1,1,1,1,1,1,...

6. 0,0,0,1,2,3,4,5,6,..

7. 3,2,4,1,1,1,1,1,...

8. 0,2,0,0,2,0,0,2,0,0,..

Roho Company acquired equipment on July​ 1, 2019, for $100,000. The residual value is​ $20,000 and the estimated life is 5 years or​ 40,000 hours. Compute the depreciation expense for the years ending December​ 31, 2019 and December​ 31, 2020 if Roho Company uses the double−declining−balance method of depreciation.

A. $9000 for​ 2019; $ 36400 for 2020

B. $20000 for​ 2019; $ 32000 for 2020

C. $4500 for​ 2019; $ 9000 for 2020

D. $40000 for​ 2019; $ 24000 for 2020

In March 2020, a bank saw a 6% drop in assets, a 30% drop in capital, but no change in liabilities.

    (a) How much was the bank's leverage ratio (defined as the equity multiplier) at the beginning of March 2020?
    (b) How much was the bank's leverage ratio (defined as the equity multiplier) at the end of March 2020?
    (c) In April 2020, the bank's assets decreased by 2%, while the bank's liabilities remained unchanged. What was the percentage change in the bank's capital in April 2020?

1. You have just won the prize in the State lottery. A recent innovation is to offer prize winners a choice of payoffs. You must choose one of the following prizes:

a. $1,000,000 paid immediately
b. $600,000 paid exactly one year from today, and another $600,000 paid exactly 3 years from today
c. $70,000 payment at the end of each year forever (first payment occurs exactly 1 year from today)
d. An immediate payment of $600,000, then beginning exactly 5 years from today, an annual payment of $50,000 forever

e. An annual payment of $200,000 for the next 7 years (first payment occurs exactly 1 year from today)
You believe that 8% p.a. compounded annually is an appropriate discount rate. Assuming you wish to maximize your current wealth, which is the best prize?

2. Kate's financial advisor tells her that she wil need $2 million to fund her retirement. She plans to work for another 30 years before retiring. She will make 30 contributions to a pension. How much will each contribution be, if the interest rate is 9% p.a?

3. Mary has just retired and has $1 miliom in her retirement account. Her bank offers an arrangement whereby the bank takes her $1 million now and pays her $110,000 at the end of each year for the next 20 years. Is it a fair deal, if the offered rate is 10%p.a?

Group lending was the most striking innovation of the Grameen Bank, and it has been widely imitated by other microfinance initiatives.

(a). How does group lending address the problems that limit the supply of credit to poor households from traditional formal-sector lenders (e.g., banks)?

(b). A careful study of the operations of the Grameen Bank in the early 1990s concluded that each dollar of lending increased the consumption expenditures of borrowing households by 17 cents relative to what they would have been without the loan (repayment rates were almost 100% so this was net of repayment). Loans were very costly to administer, however, and at the interest rate charged on the loans, the Grameen Bank required a subsidy of 22 cents on every dollar of lending to remain sustainable. In your view, does this look like an effective use of public funds? Would it be better, for example, to reduce the subsidy (i.e., increase the commercial viability of the operation) by charging a higher interest rate?

Innovation and Trading City

   In the Stitch and Squeeze example, suppose the shoe output per hour in Stitch increases to 16 and the exchange rate increases to 4 shoes per gallon of milk. A Stitch household switches 1 hour of production time, and a Squeeze household switches 2 hours of production time.

Ignoring any transaction cost, what are the gains from trade for each type of household?

If the exchange time is 1/4 hour, what are the gains from trade for each type of household?

1. At CES 2019, L’Oreal won the award for best innovation in wearable technology for their product, My Skin Track pH. The scientific and medical communities have long known the link between skin pH and common skin concerns, yet there has never been a consumer-friendly way to measure it. My Skin Track pH is the first-ever, wearable sensor and companion app to measure personal skin pH levels and create customized product regimens to better care for skin. Using microfluidics technology, the sensor captures trace amounts of sweat to provide an accurate skin pH reading. Conventional methods for reading pH levels include swabbing the skin for sweat and using a bulky digital pH meter. Researchers know that both methods provide accurate data,but were not sure which would provide results faster. A sample of seven subjects were brought in and each tested both methods. The data is shown below.

Using a significance level of 0.05, does one method provide results that are significantly faster?

What could a student learn in the Course Fostering a Culture of Innovation

How would an individual live their professional and have a personal life if they were trying to become an innovative Leader?

Professionally and Personally Living with 3 Ways to Focus on Innovative Strategy in a Workplace

How would a person professionally and personally Live and Measure their Progress towards their Success?

What are strategies for professional and personal Living when fostering positive social Change

P create an action Plan!

Please provide references.

Vertical Analysis of Income Statement

Revenue and expense data for Innovation Quarter Inc. for two recent years are as follows:

a. Prepare an income statement in comparative form, stating each item for both years as a percent of sales. If required, round percentages to one decimal place. Enter all amounts as positive numbers.

b. The vertical analysis indicates that the cost of goods sold as a percent of sales ___ by __ percentage points, while selling expenses___by ___percentage points, and administrative expenses_____by ___percentage points. Thus, net income as a percent of sales___by __percentage points.