Let f : V mapped to W be a continuous function between two topological spaces V and W, so that (by definition) the preimage under f of every open set in W is open in V : Y is open in W implies f^−1(Y ) = {x in V | f(x) in Y } is open in V. Prove that the preimage under f of every closed set in W is closed in V . Feel free to take V = W = R^n to simplify things. Hint: show that the “preimage of” operation plays nice with set-complements, and then use the fact that every closed set is the complement of some open set. Note that R^n is both open and closed as a subset of itself.

The City of Sweetwater maintains an Employees’ Retirement Fund, a single-employer defined benefit plan that provides annuity and disability benefits. The fund is financed by actuarially determined contributions from the city’s General Fund and by contributions from employees. Administration of the retirement fund is handled by General Fund employees, and the retirement fund does not bear any administrative expenses. The Statement of Fiduciary Net Position for the Employees’ Retirement Fund as of July 1, 2019, is shown here:

During the year ended June 30, 2020, the following transactions occurred:

1. The interest receivable on investments was collected in cash.
2. Member contributions in the amount of $269,000 were received in cash. The city’s General Fund also contributed $810,000 in cash.
3. Annuity benefits of $730,000 and disability benefits of $161,000 were recorded as liabilities.
4. Accounts payable and accrued expenses in the amount of $956,000 were paid in cash.
5. Interest income of $242,000 and dividends in the amount of $36,000 were received in cash. In addition, bond interest income of $47,000 was accrued at year-end.
6. Refunds of $75,000 were made in cash to terminated, nonvested participants.
7. Common stocks, carried at a fair value of $509,000, were sold for $476,000. That $476,000, plus an additional $311,000, was invested in stocks.
8. At year-end, it was determined that the fair value of stocks held by the pension plan had decreased by $50,000; the fair value of bonds had increased by $33,000.
9. Nominal accounts for the year were closed.

Required:
a. Record the transactions on the books of the Employees’ Retirement Fund.
b. Prepare a Statement of Changes in Fiduciary Net Position for the Employees’ Retirement Fund for the year ended June 30, 2020.
c. Prepare a Statement of Fiduciary Net Position for the Employees’ Retirement Fund as of June 30, 2020.

Requirement 1:

The interest receivable on investments was collected in cash.

Member contributions in the amount of $269,000 were received in cash. The city’s General Fund also contributed $810,000 in cash.

Annuity benefits of $730,000 and disability benefits of $161,000 were recorded as liabilities.

Accounts payable and accrued expenses in the amount of $956,000 were paid in cash.

Interest income of $242,000 and dividends in the amount of $36,000 were received in cash.

Bond interest income of $47,000 was accrued at year-end.

Refunds of $75,000 were made in cash to terminated, nonvested participants.

Common stocks, carried at a fair value of $509,000, were sold for $476,000. That $476,000, plus an additional $311,000, was invested in stocks. Record the entry for the sale of common stock.

Common stocks, carried at a fair value of $509,000, were sold for $476,000. That $476,000, plus an additional $311,000, was invested in stocks. Record the entry for investments in common stock

At year-end, it was determined that the fair value of stocks held by the pension plan had decreased by $50,000; the fair value of bonds had increased by $33,000.

Nominal accounts for the year were closed.

Requirement 2:

Prepare a Statement of Changes in Fiduciary Net Position for the Employees’ Retirement Fund for the year ended June 30, 2020. (Amounts to be deducted should be indicated with a minus sign.)

Requirement 3:

Prepare a Statement of Fiduciary Net Position for the Employees’ Retirement Fund as of June 30, 2020.

financial management principles.

1. . Bill S.Preston purchased a new house for $100,000. He paid $20,000 upfront on the down payment and agreed to pay the rest over the 25 years in 25 equal annual payments that include principal payments plus 8 percent compound interest on the unpaid balance. What will these equal payments be?

2. What is the present value of an annuity of $90 received at the beginning of each year for the next six years? The first payment will be received today, and the discount rate is 8%.

3. Red Sea Co. obtained a $200,000 loan from ANB bank at 6% annual interest rate that will be paid off in annual payments over ten years. How much will each annual payment be?

4. As a result of winning the Gates Energy Innovation award, you are awarded a growing perpetuity. The first payment will occur in a year and will be for $20,000. You will continue receiving monetary awards annually, with each award increasing by 4 percent over the previous award, and these monetary awards will continue forever. If the appropriate interest rate is 10 percent, what is the present value of this award?

Apply specific models developed from economics to demonstrate how domestic and foreign events (e.g., wars, changes in trade barriers, development abroad) have impacted the level of and changes in imports and exports in the United States from 2000 - 2010.

Please make sure to relate the answer to the time period of 2000 - 2010 in the US.

A 2010 headline stated that "73% say Woman President Likely in the next 10 years." The report gives the results of a survey of 1000 randomly selected likely voters in the US. Find and interpret a 95% confidence interval for the proportion of likely voters in the US in 2010 who thought a woman president is likely in the next 10 years.

Should Mai Lease or Purchase?

Mai is considering the purchase of a Mini Cooper and has negotiated a final price of $23,450. She’s trying to decide whether to lease or purchase the vehicle.

Use the automobile lease-versus-purchase analysis worksheet that follows to determine the total cost of both the lease and the purchase and then recommend the best strategy for Mai. To complete the worksheet, enter the appropriate values in their corresponding blanks. (Note: Round each value to the nearest whole dollar.)

AUTOMOBILE LEASE-VERSUS PURCHASE-ANALYSIS

Based on this analysis, Mai should:

The total world population in the year 1800 was 1 billion people. Today there are 7.8 billion people in the world. Year Global Population (in billions)

2017 7.511

2018 7.594

2019 7.700

2020 7.800

(a) Using the table above

calculate the average population growth rate over the past 3 years. (b) Using the growth rate from part (a), calculate in what year the world population will reach 9 billion people (round down to the nearest year). (c) List 3 stresses this rapid growth in population may put on the environment.

I need a really detailed answer

Egyptian Pound went through some volatility since it was floated in November 2016 until today. This could be broken down in 4 main phases as follows:

Phase 1: From floatation till June 2018

Phase 2: From June 2018 - December 2018

Phase 3: From January 2019 - February 2020

Phase 4: Coronavirus worldwide outbreak

what happened during each of the above 4 phases and in full details how these factors impacted the EGP exchange rate versus the Dollar?

I need a really detailed answer

Egyptian Pound went through some volatility since it was floated in November 2016 until today. This could be broken down in 4 main phases as follows:

Phase 1: From floatation till June 2018

Phase 2: From June 2018 - December 2018

Phase 3: From January 2019 - February 2020

Phase 4: Coronavirus worldwide outbreak

what happened during each of the above 4 phases and in full details how these factors impacted the EGP exchange rate versus the Dollar?

Due to the corona virus,

How much of a decline do you anticipate for the Second Quarter of 2020? Will be in recession? This would mean GDP was down during the first quarter and/or the third quarter. Will it last long enough to be the second depression in 100 yeards?  

On inflation/deflation,what would your life have been like during the early 80's when the inflation rate was in double digits? Imagine what life would have been like in Germany in 1923, when prices were rising daily and the Deutschmark was losing ground daily against the dollar?