1. The population of a small country is growing 4.5% per year. If in 1997 the population was 140 thousand, determine the exponential expression for population as a function of the year. Letting t=0 correspond to 1997and find the population in 2008.

2. How much should be deposited today if it’s to accumulate to $44,900 in 30 years, if the account bears interest at 7.5% compounded monthly?

3. How long will it take an investment at 11.25% interest, compounded continuously to quadruple?

4. When advertising is discontinued, sales decrease at a rate proportional to sales at that instant. A magazine has an initial circulation of 1.7 million and 2 years later decreases 14%. When will circulation reach 850,000?

1. The market expects inflation to do the following: remain at 1% for the next year and then increase to 2% for the next two years.
   1. What is the inflation premium for a 1-year security?
   2. For a 3-year security?
   3. If the real risk-free rate is 4% and the maturity risk premium is 0, what is the yield on a 1-year Treasury bond?
   4. A 3-year Treasury bond?

Assume that you are considering the purchase of a 30 year bond with an annual coupon rate of 7.50%. The bond has a face value of $1,000 and makes semiannual interest payments. If you require a 5.75% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for this bond?

A manager receives a forecast for next year. Demand is projected to be 600 units for the first half of the year and 900 units for the second half. The monthly holding cost is $2 per unit, and it costs an estimated $55 to process an order.

a. Assuming that monthly demand will be level during each of the six-month periods covered by the forecast (e.g., 100 per month for each of the first six months), determine an order size that will minimize the sum of ordering and carrying costs for each of the six-month periods. (Round your answers to the nearest whole number.)

Period Order Size 1 – 6 months units

7 – 12 months units

b. If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50 units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either period? If so, what order size would you recommend? (Round intermediate calculations to 2 decimal places.)

Period Order Size

1 – 6 months units

7 – 12 months units

In a survey of

24562456

adults in a recent​ year,

13921392

say they have made a New​ Year's resolution.

Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

(PYTHON) A beard-second is a unit of length inspired by the light-year and is defined as the length the average beard grows in one second, or precisely 5 nanometers. The beard-second is used for extremely short distances such as measurements within an integrated circuit. Your manufacturing equipment is very accurate but it uses inches as a unit of measurement, so you need a conversion table between beard-seconds and inches to complete a special order.

The following information should be helpful: 1 beard second = 5 nanometers 1 nanometer = 3.937e-8 inches

Write a program named beard.py that includes two functions main() and inches()which are used to produce a conversion table between beard seconds and inches for a series of values specified by the user.

The main() function: • Displays a description of the program’s function • Prompts the user for the starting and ending beard second value to be converted to inches • Displays a table header (see examples) • Using a loop, calls the inches() function repeatedly to calculate the converted values • The beard second values should increment by 250

The inches() function: • Accepts one (1) value in beard seconds as an argument • Performs the conversion calculation from beard seconds to inches • Displays the table row including the beard seconds and inches values (to 8 decimal places) • Beard second values should have a thousands comma separator • Does not return any values

1. Assume the spot rate of the euro is $1.16, and over the next year the Eurozone inflation rate is 2% while the US inflation rate is 3%. According to purchasing power parity (PPP), what will the spot exchange rate be after one year? Assume the spot rate of the euro is $1.16 and the one-year interest rate for the Eurozone and the US are both initially 4.5%. Then assume that the US interest rate decreases to 4% while the Eurozone interest rate remains at 4.5%. According to the international Fisher effect (IFE),
2. 1. What will the spot exchange rate be after one year?
3. 2. What is the underlying factor that would cause such a change in the interest rate differential?

The WACC is 10% for all projects.

                        Project A

                                Project B

Project C

1. Which project has the superior payback period?

a)            Project C

b)           Project A

c)            Project B

2. If you use a cutoff period of 3 years with the discounted payback period rule, which project(s) would you accept?

a)           Project A

b)            Project B

c)            Project C

d)            All Projects

3. Which projects have positive NPVs?

1. Project A
2. Project B
3. Project C
4. Projects B and C

Consider an economy with a corn producer, some consumers, and a government. In a given year, the corn producer grows 30 million bushels of corn and the market price for corn is $5 per bushel. Of the 30 million bushels produced, 20 million are sold to consumers, 5 million are stored in inventory, and 5 million are sold to the government to feed the army. The corn producer pays $60 million in wages to consumers and $20 million in taxes to the government. Consumers pay $10 million in taxes to the government, receive $10 million in interest on the government debt, and receive $5 million in Social Security payments from the government. The profits of the corn producer are distributed to consumers. Calculate GDP using the product approach, the expenditure approach, and the income approach. Calculate private disposable income, private sector saving, national saving, and the government deficit. Is the government budget in deficit or surplus?

You are working on a bid to build two city parks a year for the next three years. This project requires the purchase of $210,000 of equipment that will be depreciated using straight-line depreciation to a zero book value over the 3-year project life. The equipment can be sold at the end of the project for $34,000. You will also need $21,000 in net working capital for the duration of the project; all net working capital will be recovered at the end of the project. The fixed costs will be $19,000 a year and the variable costs will be $150,000 per park. Your required rate of return is 12 percent and your tax rate is 34 percent. What is the minimal amount you should bid per park? (Round your answer to the nearest $100)