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The following difference equation describes a simple model of a certain economy, where Yg is the total income during year k, a is a constant less than 1, called the marginal propensity to consume, and b is a positive constant of adjustment that describes how changes in consumer spending affect the annual rate of private investment. YK+2- a(1 + b)Yk+1 + abYk = 1 Find the general solution when a = 0.75 and b= 0.09. Find the general solution of the difference equation, rounding to two decimal places as needed. Choose the correct answer below. O A. Y = 4(0.72)k + 4(0.09)k O B. Y =c, (0.82)* .c2(0.07)* Oc. Yk =C1 (0.72k) + c2(0.09k) + 4 O D. Y =c, (0.82)* + c, (0.07)* + 1 O E. Y =c, (0.72)* .c2(0.09)* OF. Y =c, (0.72)* + c2 (0.09)* + 4 •4 O G. Yk = C1 (0.82k) + c2(0.07k) + 1 O H. Y = (0.72)* + (0.09)* + 0.25

The following difference equation describes a simple model of a certain economy, where Yg is the total income during year k, a is a constant less than 1, called the marginal propensity to consume, and b is a positive constant of adjustment that describes how changes in consumer spending affect the annual rate of private investment. YK+2- a(1 + b)Yk+1 + abYk = 1 Find the general solution when a = 0.75 and b= 0.09. Find the general solution of the difference equation, rounding to two decimal places as needed. Choose the correct answer below. O A. Y = 4(0.72)k + 4(0.09)k O B. Y =c, (0.82)* .c2(0.07)* Oc. Yk =C1 (0.72k) + c2(0.09k) + 4 O D. Y =c, (0.82)* + c, (0.07)* + 1 O E. Y =c, (0.72)* .c2(0.09)* OF. Y =c, (0.72)* + c2 (0.09)* + 4 •4 O G. Yk = C1 (0.82k) + c2(0.07k) + 1 O H. Y = (0.72)* + (0.09)* + 0.25

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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The following difference equation describes a simple model of a certain economy, where Yg is the total income during year k, a is a constant less than 1, called the marginal propensity to consume, and b is a positive constant of adjustment that describes how changes in consumer spending affect the annual rate of private investment. YK+2- a(1 + b)Yk+1 + abYk = 1 Find the general solution when a = 0.75 and b= 0.09. Find the general solution of the difference equation, rounding to two decimal places as needed. Choose the correct answer below. O A. Y = 4(0.72)k + 4(0.09)k O B. Y =c, (0.82)* .c2(0.07)* Oc. Yk =C1 (0.72k) + c2(0.09k) + 4 O D. Y =c, (0.82)* + c, (0.07)* + 1 O E. Y =c, (0.72)* .c2(0.09)* OF. Y =c, (0.72)* + c, (0.09)* + 4 •4 O G. Yk = C1 (0.82k) + c2(0.07k) + 1 O H. Y = (0.72)* + (0.09)* + 0.25
Transcribed Image Text:The following difference equation describes a simple model of a certain economy, where Yg is the total income during year k, a is a constant less than 1, called the marginal propensity to consume, and b is a positive constant of adjustment that describes how changes in consumer spending affect the annual rate of private investment. YK+2- a(1 + b)Yk+1 + abYk = 1 Find the general solution when a = 0.75 and b= 0.09. Find the general solution of the difference equation, rounding to two decimal places as needed. Choose the correct answer below. O A. Y = 4(0.72)k + 4(0.09)k O B. Y =c, (0.82)* .c2(0.07)* Oc. Yk =C1 (0.72k) + c2(0.09k) + 4 O D. Y =c, (0.82)* + c, (0.07)* + 1 O E. Y =c, (0.72)* .c2(0.09)* OF. Y =c, (0.72)* + c, (0.09)* + 4 •4 O G. Yk = C1 (0.82k) + c2(0.07k) + 1 O H. Y = (0.72)* + (0.09)* + 0.25
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