You must decide which of two wind turbines to purchase for a new wind farm your company is planning to build. turbine a will initially cost $1,300,000 to install and and is estimated to generate $32,000 per year of revenue. turbine b will cost $1,900,000 initially but will generate $48,000 per year of revenue. assuming a 2.5% annual interest rate and that both machines will last 20 years, which machine should be purchased? (hint: consider the future worth of these investments.)

Verizon communications, inc., provides the following footnote relating to its leasing activities in its 10-k report. the aggregate minimum rental commitments under noncancelable leases for the periods shown at december 31, 2010, are as follows: years (dollars in millions) capital leases operatingleases 2011 $97 $1,898 2012 74 1,720 2013 70 1,471 2014 54 1,255 2015 42 1,012 thereafter 81 5,277 total minimum 418 $ 12,633 rental commitments less interest and (86) executory costs present value of 332 minimum lease payments less current (75) installments long-term obligation $257 at december 31, 2010 (a) confirm that verizon capitalized its capital leases using a rate of 7.4 %. (b) compute the present value of verizon's operating leases, assuming an 7.4% discount rate and rounding the remaining lease term to 3 decimal places. (use a financial calculator or excel to compute. do not round until your final answers. round each answer to the nearest whole number.)

You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. the portfolio's beta is 1.12. you plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. what will the portfolio's new beta be? do not round your intermediate calculations.

> > objectives define federalism and explain why the framers adopted a federal system instead of a unitary system. categorize powers delegated to and denied to the national government, and powers reserved for and denied to the states, and the difference between exclusive and concurrent powers.