Consider the following statement. Having a large income is not a necessary condition for a person to be happy. Which of the following expresses the statement without using the words necessary or sufficient? (Recall that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statement.) There is a person who does not have a large income and is happy. All persons who have a large income are happy. There is a person who has a large income and is happy. All persons who do not have a large income are not happy. There is a person who has a large income and is not happy.

(4 points) suppose the production function in the solow model is given by yt = ak¯ 3/4 t l 1/4 t . (a) what are the five equations and five unknowns that summarize the solow model? (b) show the transition dynamics in the solow model if ¯sy0 < ¯dk0. make sure you label the axes, curves, initial level of capital and steady-state level of capital. (c) solve for capital, output, capital per person, and output per person in the steady state. (d) if a¯ = 2, l¯ = 4, ¯s = 0.2, and ¯d = 0.05, calculate the steady-state level of capital and output per person.

The impact fiscal multiplier is a. usually estimated to have an average value of 2. b. usually estimated to have an average value of 0. c. the actual immediate multiplier effect of a fiscal policy action after taking into consideration direct fiscal offsets and other short-term crowding out of private spending. d. the multiplier effect of a fiscal policy action that applies to a long-run period after all influences on equilibrium real gdp have been taken into account.

Required prepare the necessary adjusting entries in the general journal as of december 31, assuming the following: on september 1, the company entered into a prepaid equipment maintenance contract. birch company paid $3,400 to cover maintenance service for six months, beginning september 1. the payment was debited to prepaid maintenance. supplies on hand at december 31 are $3,900. unearned commission fees at december 31 are $7,000. commission fees earned but not yet billed at december 31 are $3,500. (note: debit fees receivable.) birch company's lease calls for rent of $1,600 per month payable on the first of each month, plus an annual amount equal to 1% of annual commissions earned. this additional rent is payable on january 10 of the following year. (note: be sure to use the adjusted amount of commissions earned in computing the additional rent.)