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Consider the variables x, y, and z. Assume that the growth rates of these variables are given by g(x) = 0.03, g(y) = 0.12 and g(z) = 0.01. Then the growth rate of (yx)'/²(2z)² is approximately equal to the variable w = а. 9% b. 10% c. 9.5% d. 2.5% е. 11.5%

Consider the variables x, y, and z. Assume that the growth rates of these variables are given by g(x) = 0.03, g(y) = 0.12 and g(z) = 0.01. Then the growth rate of (yx)'/²(2z)² is approximately equal to the variable w = а. 9% b. 10% c. 9.5% d. 2.5% е. 11.5%

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the variables x, y, and z. Assume that the growth rates of these variables are given by g(x) = 0.03, g(y) = 0.12 and g(z) = 0.01. Then the growth rate of the variable w = (yx)1/2(2z)² is approximately equal to a. 9% b. 10% c. 9.5% d. 2.5% е. 11.5% 2. Which of the following will lead to a change in US GDP according to national income accounting? a. A parent spends 3 hours teaching their child how to drive on Saturday instead of taking an extended nap. b. An increase in imports from the European Union and a rise in exports to Canada c. You buy an old typewriter, a used leather jacket, and a 35mm camera made in 1972 at the “flea" market and post some pictures, which you took with the camera, of yourself with the jacket on Instagram. d. an old, unused house in your neighborhood collapses. е. none of the above 3. Consider the production function Y, = A¿Kª(L¿)'-« In 2013, the capital stock Kt decreased by 1%, total factor productivity A, increased by 2%, and labor L. decreased by 4%. What is the growth rate of output per worker in 2013? а. (За — 1)% b. (4α + 1)% с. (За + 2)% d. (3α-2) % е. (2 — 5а)%
Transcribed Image Text:1. Consider the variables x, y, and z. Assume that the growth rates of these variables are given by g(x) = 0.03, g(y) = 0.12 and g(z) = 0.01. Then the growth rate of the variable w = (yx)1/2(2z)² is approximately equal to a. 9% b. 10% c. 9.5% d. 2.5% е. 11.5% 2. Which of the following will lead to a change in US GDP according to national income accounting? a. A parent spends 3 hours teaching their child how to drive on Saturday instead of taking an extended nap. b. An increase in imports from the European Union and a rise in exports to Canada c. You buy an old typewriter, a used leather jacket, and a 35mm camera made in 1972 at the “flea" market and post some pictures, which you took with the camera, of yourself with the jacket on Instagram. d. an old, unused house in your neighborhood collapses. е. none of the above 3. Consider the production function Y, = A¿Kª(L¿)'-« In 2013, the capital stock Kt decreased by 1%, total factor productivity A, increased by 2%, and labor L. decreased by 4%. What is the growth rate of output per worker in 2013? а. (За — 1)% b. (4α + 1)% с. (За + 2)% d. (3α-2) % е. (2 — 5а)%
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