Commercial real estate prices and rental rates suffered substantial declines in 2008 and 2009. these declines were particularly severe in asia; annual lease rates in tokyo, hong kong, and singapore declined by 40% or more. even with such large declines, annual lease rates in asia were still higher than those in many cities in europe. annual lease rates for a sample of 30 commercial properties in hong kong showed a mean of 1,114 per square meter with a standard deviation of 230. annual lease rates for a sample of 40 commercial properties in paris showed a mean lease rate of 989 per square meter with a standard deviation of 195.

a. on the basis of the sample results, can we conclude that the mean annual lease rate is higher in hong kong than in paris?
b. develop appropriate null and alternative hypotheses. at the 5% level of significance, what is your conclusion?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Camilo is a self-employed roofer. he reported a profit of $30,000 on his schedule c. he had other taxable income of $5,000. he paid $3,000 for hospitalization insurance. his self-employment tax was $4,656. he paid his former wife $4,000 in court-ordered alimony and $4,000 in child support. what is the amount camilo can deduct in arriving at adjusted gross income (agi)?

In early january, burger mania acquired 100% of the common stock of the crispy taco restaurant chain. the purchase price allocation included the following items: $4 million, patent; $3 million, trademark considered to have an indefinite useful life; and $5 million, goodwill. burger mania's policy is to amortize intangible assets with finite useful lives using the straight-line method, no residual value, and a five-year service life. what is the total amount of amortization expense that would appear in burger mania's income statement for the first year ended december 31 related to these items?