The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380² +0.0532t+2.96, where 0≤t≤ 50. Find the value of t when the assets will decrease most rapidly. Approximately when does this occur?

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Chapter1: Functions And Models
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The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the
number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380t² +0.0532t+2.96, where 0≤t≤ 50.
Find the value of t when the assets will decrease most rapidly. Approximately when does this occur?
The assets will decrease most rapidly in the year
(Round down to the nearest year as needed.)
Transcribed Image Text:The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380t² +0.0532t+2.96, where 0≤t≤ 50. Find the value of t when the assets will decrease most rapidly. Approximately when does this occur? The assets will decrease most rapidly in the year (Round down to the nearest year as needed.)
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