Let $$p(x)=\sum_{n=0}^{\infty} p_nx^n=1+x+2x^2+3x^3+5x^4+7x^5+11x^ 6+\cdots$$ be the partition generating function, and let $q(x)=\sum_{n=0}^{\infty} q_nx^n$, where $q_n$ is the number of partitions of $n$ containing no $1$s. then $\frac{q(x)}{p(x)}$ is a polynomial. what polynomial is it?

Salvador county issued $25 million of 5% demand bonds for construction of a county maintenance building. the county has no take-out agreement related to the bonds. it estimates that 20% of the bonds would be demanded (called) by the buyers if interest rates increased at least 1%. at year-end rates on comparable debt were 7%. how should these demand bonds be reported in the government-wide financial statements at year-end? a) $25 million in the long-term liability section of the governmental activities column. b) $5 million in the current liability section of the governmental activities column and $20 million in the long-term liabilities section of the governmental activities column. c) $5 million in the governmental activities column and $20 million would be reported in the schedule of changes in long-term debt obligations. d) $25 million in the current liability section of the governmental activities column

Assume that the following conditions exist: a. all banks are fully loaned up- there are no excess reserves, and desired excess reserves are always zero. b. the money multiplier is 5 .     c. the planned investment schedule is such that at a 4 percent rate of interest, investment =$1450 billion. at 5 percent, investment is $1420 billion. d. the investment multiplier is 3 . e.. the initial equilibrium level of real gdp is $12 trillion. f. the equilibrium rate of interest is 4 percent now the fed engages in contractionary monetary policy. it sells $1 billion worth of bonds, which reduces the money supply, which in turn raises the market rate of interest by 1 percentage point. calculate the decrease in money supply after fed's sale of bonds: $nothing billion.

Microsoft's stock price peaked at 6118% of its ipo price more than 13 years after the ipo suppose that $10,000 invested in microsoft at its ipo price had been worth $600,000 (6000% of the ipo price) after exactly 13 years. what interest rate, compounded annually, does this represent? (round your answer to two decimal places.)