CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Equilibrium in the goods market occurs where A) aggregate expenditure equals autonomous consumption. B) real GDP equals nominal GDP. C) aggregate expenditure equals real GDP. D) autonomous consumption equals induced consumption. 2) Other things equal‚ if planned investment spending is greater than actual investment spending‚ then aggregate expenditure will be ________ real GDP and inventories will ________
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Development Planning and Cooperation. Hall‚ R. E.‚ and F.S. Mishkin‚ (1982). The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households. Econometrica‚50(2)‚ 461481. Hayashi‚ A. (1987). Tests for Liquidity Constraints: A Critical Survey in Bewley. Fifth World Congress‚ Vol.2‚ Cambridge University Press. Hayashi‚ F. (1985). The Effect of Liquidity Constraints on Consumption: A CrossSectional Analysis. Quarterly Journal of Economics‚ C (1985)‚ 183-206. Hicks‚ J. R.‚ (1969)
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the constraint that vL+rK=C. Note that maximizing a monotonically increasing function of a variable is equivalent to maximizing the variable itself. Therefore ln(Q)=(2/3)ln(L)+(1/3)ln(K)‚ a more convenient expression‚ is the same as maximizing Q. Therefore the objective function for the optimization problem is ln(Q)=(2/3)ln(L)+(1/3)ln(K). Step 1: Form the Langrangian function by subtracting from the objective function a multiple of the difference between the cost of the resources and the budget
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C H A P T E R 16 Circular Functions Objectives To use radians and degrees for the measurement of angle. To convert radians to degrees and vice versa. To define the circular functions sine‚ cosine and tangent. To explore the symmetry properties of circular functions. To find standard exact values of circular functions. To understand and sketch the graphs of circular functions. 16.1 Measuring angles in degrees and radians The diagram shows a unit circle‚ i.e. a circle of radius 1 unit
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FUNCTION | DESCRIPTION | DAVERAGE | Returns the average of selected database entries | DCOUNT | Counts the cells that contain numbers in a database | DCOUNTA | Counts nonblank cells in a database | DGET | Extracts from a database a single record that matches the specified criteria | DMAX | Returns the maximum value from selected database entries | DMIN | Returns the minimum value from selected database entries | DPRODUCT | Multiplies the values in a particular field of records that
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Experiment 3: Projectile Range Versus Angle EQUIPMENT NEEDED – Mini Launcher and steel ball – Plumb bob – Measuring tape or meter stick – Carbon paper – Graph paper – White paper Purpose The purpose of this experiment is to find how the range of the ball depends on the angle at which it is launched. The angle that gives the greatest range is determined for two cases: launching on level ground and launching off a table. Theory The range is the horizontal distance‚ x
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1. The most important determinant of consumption and saving is the: A) level of bank credit. B) level of income. C) interest rate. D) price level. 2. If Carol’s disposable income increases from $1‚200 to $1‚700 and her level of saving increases from minus $100 to a plus $100‚ her marginal propensity to: A) save is three-fifths. B) consume is one-half. C) consume is three-fifths. D) consume is one-sixth. 3. A decline
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In mathematics‚ the exponential function is the function ex‚ where e is the number (approximately 2.718281828) such that the function ex is its own derivative.[1][2] The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change (i.e. percentage increase or decrease) in the dependent variable. The function is often written as exp(x)‚ especially when it is impractical to write the independent variable as a superscript
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Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Tell whether the function y = 2( 5 ) shows growth or decay. Then graph the function. a. This is an exponential growth function. c. This is an exponential decay function. x b. This is an exponential growth function. d. This is an exponential growth function. ____ 2. Graph the inverse of the relation. Identify the domain and range of the inverse. x y −1 4 1 2 3 1 5 0 7 1 a. c
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technology generated by a production function f(x) = x2 . The production set is Y = {(y‚ −x) : y ≤ x2 } which is certainly not convex‚ but the input re√ quirement set is V (y) = {x : x ≥ y} which is a convex set. 1.2 It doesn’t change. 1.3 1 = a and 2 = b. 1.4 Let y(t) = f(tx). Then dy = dt so that 1 dy 1 = y dt f(x) 1.5 Substitute txi for i = 1‚ 2 to get f(tx1 ‚ tx2 ) = [(tx1 )ρ + (tx2 )ρ ] ρ = t[xρ + xρ ] ρ = tf(x1 ‚ x2 ). 1 2 This implies that the CES function exhibits constant returns to
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