Sandra reached full retirement age in 2016, and her average indexed monthly earnings (AIME) are $3,000. Her Social Security primary insurance amount (PIA) will be of her AIME.

On january 1, 2017, sophie's sunlounge owned 4 tanning beds valued at $20,000. during 2017, sophie's bought 3 new beds at a total cost of $14 comma 000, and at the end of the year the market value of all of sophie's beds was $24 comma 000. what was sophie's net investment

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

Penny poodle wanted to know which dog obedience training program was more effective: puppy pride, the approach she has been using for any years, or doggie do-right, a new approach. penny convinced 50 human companions of untrained dogs to participate in her study. the dogs and their humans were randomly assigned to complete the puppy pride or doggie do-right course. at the end of the training programs, all of the dogs were scored on their level of obedience on a standardized dog obedience checklist (scores could range from 10 to 100). the design of this study is: