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Social Security Assets The projected year-end assets in
Chapter 5, Problem 49A(choose chapter or problem)
Problem 49A
Social Security Assets The projected year-end assets in the Social Security trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by
A(t) = 0.0000329t3 − 0.00450t2 + 0.0613t + 2.34,
where 0 ≤ t ≤ 50. Source: Social Security Administration.
a. Where is A(t) increasing?
b. Where is A(t) decreasing?
Questions & Answers
QUESTION:
Problem 49A
Social Security Assets The projected year-end assets in the Social Security trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by
A(t) = 0.0000329t3 − 0.00450t2 + 0.0613t + 2.34,
where 0 ≤ t ≤ 50. Source: Social Security Administration.
a. Where is A(t) increasing?
b. Where is A(t) decreasing?
ANSWER:
Solution:
Step 1 of 4:
a)In this problem, we need to find the increasing interval.