If Kathy consumes one more bottle of soda her total utility will increase by 50 utils. However, in order to purchase one additional bottle of soda she will have to give up consuming three cheeseburgers which currently contribute 75 utils to her total utility. What will happen if she chooses to consume one more bottle of soda? Will Kathy experience a net utility gain or loss? Enter the net utility of this choice in the below space. Indicate a loss with a negative value in your answer. For example, if you have a net utility loss of 8 utils, enter −8.

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

Rosie and her brother michael decided recently to purchase an rv together. they both want to use the rv to take their families camping. the price of the rv was $10,000. since michael expects to use the rv 60% of the time and rosie 40% of the time, michael contributed $6,000 and rosie contributed $4,000. their ownership percentage equals their contribution percentage. which type of property titling should they use to reflect their ownership interest?