Question 1) Suppose that inflation is currently 7% and inflationary expectations are also 7%. Assume that intermediate goods prices are not contributing to increased costs. If the Fed wishes to reduce inflation, it must set interest rates to ___________________. A. raise investment B. create an expansionary output gap C. make actual output equal to potential output D. create a recessionary output gap E. raise consumption 2) If the Fed follows the Taylor Rule, it should raise the interest rate if inflation __________ or the expansionary gap __________ . A. decreases; decreases B. increases; increases C. increases; decreases D. decreases; increase 3) According to the Taylor rule, if there is a recessionary gap of 3 percent of potential output and inflation is 4 percent, what real interest rate will the Fed set? A. 1.5 percent B. 2 percent C. 3 percent D. 2.5 percent

Enrico Suarez (see Section 4.17) has decided to purchase a house instead of renting an apartment. He can afford a monthly payment of $800, and he has saved $6,000 to use as a down-payment on a house. If the mortgage is 4% nominal interest (compounded monthly) on a 30-year loan, how much can Enrico afford to spend on a house?  

1. For a Solid Oxide Fuel Cell that uses hydrogen as fuel, calculate the maximum energy output possible at 800°C.

1. For a Solid Oxide Fuel Cell that uses hydrogen as fuel, calculate the maximum energy output possible at 800°C. 2. For a methanol fuel cell with total reaction equation and AG given, calculate the open circuit voltage. CH;OH + 3/2 O2 2H2O + CO2 AG = -698.2 kJ/mol 3. H2O is electrolyzed using an SOEC reactor. Inlet of the cathode has 30ml/min H20, outlet of anode has 5ml/min O2, and applied current is 2A. Calculate the H2O conversion and Faradaic efficiency (both in %). (Flow rates are given for gas phase in STP)

please help. with brief is possible. thank youwith 1 a, 1 b, 2 and 3 EXPERIMENTS Post-Laboratory Questions 1. In Step 24, you were instructed to wash the precipitates on the filter paper. a. Why was it necessary to wash the precipitate before drying. b. You were instructed to use dilute nitric acid to wash silver chloride, and to use distilled water to wash barium sulfate and calcium carbonate. Why was water used, in place of nitric acid, to wash barium sulfate and calcium carbonate? 2. Some precipitate is lost when the filter paper and precipitate is removed from the drying oven. The her paper and precipitate is subsequently weighed. Would the calculated percent by mass of the unknown lon in the compound be higher or lower than the true value? Justify your answer with an explanation 3. If the filter paper containing the precipitate is significantly charred in the drying oven because the oven temperature is to high, would the calculated percent by mass of the unknown lon in the compound be higher or lower than the true value? Justify your answer with an explanation

The probability density of a random variable $x$ is $$f(x)=a\ \cdotp x^2\ \cdotp \mathrm{e}^{−kx}\ (k>0,\ 0\leq x\leq \infty)$$ Then, the coefficient $a$ equals $$(i)\frac{k^3}{2}\ \ \ \ (ii)\ k^3 \ \ \ \ (iii)\ k^2 \ \ \ \ (iv)\ k \ \ \ \ (v) \frac{2\ \cdotp k}{\pi}$$ Here is what I've tried: $$\int_0^\infty f(x)\mathrm{d}x = 1$$ $$\int_0^\infty\left(a\ \cdotp x^2\ \cdotp \mathrm{e}^{−kx}\right)\mathrm{d}x = 1$$ solving by parts gives result as $$\left[-\frac{a\cdotp\mathrm{e}^{-kx}}{k}\cdotp\left(x^2+\frac{2x}{k}+\frac{2}{k^2}\right)\right]^\infty_0 = 1$$ Now, here I'm stuck. Can't find a way to solve $a$.

I have this question on a work sheet, I have completed part a, b, and c. However I'm not too sure how to work out the last part of it. Any tips or hints would be very much appreciated. Thank you! A prisoner in solitary confinement amuses himself by playing snakes and ladders. He uses a single six-sided die, and his counter starts at square $1$ . There is a ladder going from square $3$ to square $6$ , a ladder from square $4$ to square $8$ , a snake from square $7$ to square $2$ , and a snake from square $9$ to square $1$ . The game is finished when the counter reaches square $10$ and he needs to throw exactly the right number on the die to finish; if it is too large the counter remains unmoved. Use a vector $x(t) = (p_1, p_2, p_5, p_6, p_8, p_{10})^T$ for the probabilities of the counter being on square $(1,2,5,6,8,10)$ respectively at discrete time $t$ . Determine the probability $P(t)$ that the game has not finished at time $t$ . Plot $P(t)$ for $0 \leq t \leq 50$ . We are using matlab :)