Which of the following locations can NOT be insulated to promote energy conservation? Windows

Walls

Balcony

Roof

What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Last year ann arbor corp had $155,000 of assets, $305,000 of sales, $20,000 of net income, and a debt-to-total-assets ratio of 37.5%. the new cfo believes a new computer program will enable it to reduce costs and thus raise net income to $33,000. assets, sales, and the debt ratio would not be affected. by how much would the cost reduction improve the roe? a. 11.51%b. 12.11%c. 12.75%d. 13.42%e. 14.09%