6) How many different 5-digits zip codes can we have?

A) 100,000 B) 90,000 C) 81,000 D) 80,000

7) How many different 5-digits zip codes can we have with no zero as the first digit?

A) 100,000 B) 90,000 C) 81,000 D) 80,000

8) How many different 5-digits zip codes can we have with no zero as the first and last digit?

A) 100,000 B) 90,000 C) 81,000 D) 80,000

9) A security code consists of 4 parts, two digits first (zero is allowed) and 2 letters after (not case sensitive) How many different security codes are possible? A) 77,600 B) 67,600 C) 76,700 D) 76,600

10) A security code consists of 4 parts, two digit first (but the first digit can not be zero) and 2 letters after (not case sensitive but letter “o” is not allowed for both letters) How many different security codes are possible?

A) 56,250 B) 50,265 C) 56,625 D) 50,625

11) In how many ways Joe can dress up, if he has 6 shirts, 7 pants, and 5 pair of shoes?

A) 18 B) 180 C) 210 D) 201 11

The following table contains the demand from the last 10 months:

a. Calculate the single exponential smoothing forecast for these data using an α of 0.30 and an initial forecast (F₁) of 36. (Round your answers to 2 decimal places.)

b. Calculate the exponential smoothing with trend forecast for these data using an α of 0.30, a δ of 0.40, an initial trend forecast (T₁) of 1.00, and an initial exponentially smoothed forecast (F₁) of 35. (Round your answers to 2 decimal places.)

c-1. Calculate the mean absolute deviation (MAD) for the last nine months of forecasts. (Round your answers to 2 decimal places.)

c-2. Which is best?

• Exponential smoothing with trend forecast

• Single exponential smoothing forecast

RETURN ON EQUITY

Pacific Packaging's ROE last year was only 2%; but its management has developed a new operating plan that calls for a debt-to-capital ratio of 40%, which will result in annual interest charges of $132,000. The firm has no plans to use preferred stock and total assets equal total invested capital. Management projects an EBIT of $448,000 on sales of $4,000,000, and it expects to have a total assets turnover ratio of 2.5. Under these conditions, the tax rate will be 40%. If the changes are made, what will be the company's return on equity? Do not round intermediate calculations. Round your answer to two decimal places.

= %

Pelzer Printing Inc. has bonds outstanding with 9 years left to maturity. The bonds have a 9% annual coupon rate and were issued 1 year ago at their par value of $1,000. However, due to changes in interest rates, the bond's market price has fallen to $905.35. The capital gains yield last year was -9.465%.

1. What is the yield to maturity? Do not round intermediate calculations. Round your answer to two decimal places.
      %
   
2. For the coming year, what is the expected current yield? (Hint: Refer to footnote 7 for the definition of the current yield and to Table 7.1.) Do not round intermediate calculations. Round your answer to two decimal places.
      %
3. For the coming year, what is the expected capital gains yield? (Hint: Refer to footnote 7 for the definition of the current yield and to Table 7.1.) Do not round intermediate calculations. Round your answer to two decimal places.
      %

The machine is estimated to cost $100,000 which can last for 7 years before it becomes too costly to maintain and can be sold for scrap at $15,000. The project is estimated to bring in additional $30,000 cash inflow and incur $10,000 in additional expenses related to the running the machine in the first year. The company expects there will be an annual sales growth of 5% from year 2 onward. Expenses are also expected to grow by 2% annually from the second year of the operation.  

The company plans to fund the purchase of the new machine using a bank loan with an interest rate of 10%.

1. How long is the payback period for this project?  years. Case sensitive. Type in 7.00 (two decimal places) for 7 years.
2. What is the NPV for this project? $.  Case sensitive. Type in 120,000.00 (two decimal places) for $120,000.00, or -120,000.00 for negative $120,000.00.
3. What is the IRR for this project?  %.  Case sensitive. Type in 20.00 (two decimal places) for 20%.
4. p.s no other information given

Pelzer Printing Inc. has bonds outstanding with 9 years left to maturity. The bonds have a 9% annual coupon rate and were issued 1 year ago at their par value of $1,000. However, due to changes in interest rates, the bond's market price has fallen to $905.35. The capital gains yield last year was -9.465%. What is the yield to maturity? Do not round intermediate calculations. Round your answer to two decimal places. % For the coming year, what is the expected current yield? (Hint: Refer to footnote 7 for the definition of the current yield and to Table 7.1.) Do not round intermediate calculations. Round your answer to two decimal places. % For the coming year, what is the expected capital gains yield? (Hint: Refer to footnote 7 for the definition of the current yield and to Table 7.1.) Do not round intermediate calculations. Round your answer to two decimal places. %

A manager for an insurance company believes that customers have the following preferences for life insurance products: 40% prefer Whole Life, 20% prefer Universal Life, and 40% prefer Life Annuities. The results of a survey of 209 customers were tabulated. Is it possible to refute the sales manager's claimed proportions of customers who prefer each product using the data? Product Number Whole 86 Universal 54 Annuities 69 Step 4 of 10: Find the expected value for the number of customers who prefer Whole Life. Round your answer to two decimal places. Step 5 of 10: Find the expected value for the number of customers who prefer Universal Life. Round your answer to two decimal places. Step 6 of 10: Find the value of the test statistic. Round your answer to three decimal places. Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem. Step 8 of 10: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places. Step 9 of 10: Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance. Step 10 of 10: State the conclusion of the hypothesis test at the 0.025 level of significance.

A study is conducted to survey (in thousands) of earned degrees in the United States in a recent year. The table is given below.

a) If one person is randomly selected, find the probability that this person is a female.      

  b)  If one person is randomly selected, find the probability that this person has a bachelor degree and is a male.   

  c)   If one person is randomly selected, find the probability that this person has an AA degree.  

d) If one person is randomly selected, find the probability that this person is a female, giventhat the person received an AA degree.

e) If one person is randomly selected, find the probability that this person has a master degree or is a female.

f) Are the events “female” and “AA degree” independent? Why or why not? Use the answers from a) and d) above to explain this.

g) If two people are randomly selected, find the probability that these two people are males.