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claimed that if z+x/y, then g(z) = g(x)-g(y), where g(.) represent the growth rate of the variable in question. Prove this result in a formal way using two methods.
First, repeat the method that we used in class to prove that if z = xy, then g(z)=g(x)+g(y)
Second, notice that if z=x/y, then z= x*(1/y). Hence, using the formula mentioned above, g(z)=g(x)+g(1/y). So all you need to do is find a clever way to calculate the growth rate of the variable 1=y, namely g(1=y).
Use the following equations for demand and supply to solve for market equilibrium price and quantity: Demand: Qd = 100 - 4P Supply: Qs = 10 + 6P
Determine the long-run effects of this on the quantity of capital per worker and output per worker?(b) In the short run, does aggregate output grow at a rate higher or lower than the growth rate of the labor force?(c) After World War II, growth in r..
Night Timers chief engineer anticipates that the product will be sold in ten-foot rolls. At present, the company's maximum production capacity is 140,000 rolls per year. The engineer believes the cost function to b be described by C= $50,000 + 0.2..
Ford is budgeting $300,000 per year to pay for labor over the next 5 years. If the company expects the cost of labor to increase by $10,000 each year, and the annual interest rate is 10%, what is the expected cost of labor in the first year?
Use the following informations to comput the inflation rate between the 4th quarter 2010 and 4th quarter 2011. Year: Qtr Nominal GDP(current dollars) Real GDP (2005 dollars) 2010 4 $14, 755.00 ..
Susan is considering buying a 2011 Smart ForTwo costing $21,635 and finds that the retaining values of the vehicle over next five years are as follows: Percent of the total value retained after 36 months: 28% Percent of the total value retained aft..
At the end of 2006 an expert economist from the Global Economic Institute in Kiel, Germany, predicted a drop in the value of the dollar against the euro of 10% over the next 5 years. If the exchange rate was $1.27 to 1 euro on November 5, 2007.
Consider a seller who values a car at $9,500 and a buyer who values the same care at $10,000. What total surplus will result from a transaction between the two when the seller is faced with the follow sales tax rates: 0%, 2%, 4%, 6%, and 8%
your playing dungeon and dragons an old-school pen and paper role playing game. the game uses an 8 sided dice, with numbers 1-8 on each face. the probability of rolling each number is 1/8. let y equal the sum of values from two independent rolls, t..
An alternative has a discounted project cost of $2,195,000 with no salvage value. The estimate was in constant dollars and the discounting used mid-year factors. While the period of analysis is 5 years, the alternative only provides benefits for t..
Assume that an investor is risk-neutral (i.e. assume that the investor always chooses the investment with the higher expected rate of return even if it is riskier). If the yield on 1-year marketable CD's is 6% while the yield on 2-year marketable ..
During this holiday, he gave his first Fireside Chat, a radio address where he explained his policies to the American people in plain language. After the four-day holiday, he still kept one-third of all U.S. banks closed (mostly small farmer banks..
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