The rate of change of the projected total assets (in constant 2005 dollars) in a government trust fund for the years 2000 through 2040 can be modeled as f(x) = -0.365x² + -0.294x + 176.29 where output is measured in billion dollars per year and x is the number of years after 2000o. Check: f(2)=174.242 (a) When will the trust fund assets be growing? When will they be declining? (Round your answers to the nearest integer.) The projected total assets in the trust fund are growing from the year 2000 v through the year 2022 The projected total assets in the trust fund are declining from the year 2022 v through the year 2040 (b) When will the amount in the trust fund be greatest? (Round your answer to three decimal places.) The amount in the trust fund will be at a maximum 22 X years after 2000. (c) Use a definite integral to find the total signed area between between f(x) and the x-axis from x=0 to x=38. (Round your answer to three decimal places.) -969.867 Interpret the result. The amount in the trust fund is projected to grow X by $ -969.867 X billion from the year 2000 to the year 2038.

The rate of change of the projected total assets (in constant 2005 dollars) in a government trust fund for the years 2000 through 2040 can be modeled as f(x) = -0.365x² + -0.294x + 176.29 where output is measured in billion dollars per year and x is the number of years after 2000o. Check: f(2)=174.242 (a) When will the trust fund assets be growing? When will they be declining? (Round your answers to the nearest integer.) The projected total assets in the trust fund are growing from the year 2000 v through the year 2022 The projected total assets in the trust fund are declining from the year 2022 v through the year 2040 (b) When will the amount in the trust fund be greatest? (Round your answer to three decimal places.) The amount in the trust fund will be at a maximum 22 X years after 2000. (c) Use a definite integral to find the total signed area between between f(x) and the x-axis from x=0 to x=38. (Round your answer to three decimal places.) -969.867 Interpret the result. The amount in the trust fund is projected to grow X by $ -969.867 X billion from the year 2000 to the year 2038.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 92E

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