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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Baby Boomers and Medicare Benefits Aging baby boomers will put a strain on Medica benefits unless Congress takes action. The Medicare benefits to be paid out from 2010 through 2040 a projected to be

B(t) = 0 09t2 + 0 102t + 0.25 (0 ≤ t ≤ 3)

where B(t) is measured in trillions of dollars and t is measured in decades, with t = 0 corresponding 2010.

  1. a. What was the amount of Medicare benefits paid out in 2010?
  2. b. What is the amount of Medicare benefits projected to be paid out in 2040?

Source: Social Security and Medicare Trustees’ 2010 report.

(a)

To determine

To find: The amount of Medicare benefits paid out in 2010.

Explanation

Given:

The Medicare benefits to be paid out from 2010 through 2040 are projected to be,

B(t)=0.09t2+0.102t+0.25(0t3)

Where,

  • B(t) measured in trillions of dollars.
  • t is measured in decades.

Calculation:

The Medicare benefits to be paid out from 2010 through 2040 are projected by,

B(t)=0

(b)

To determine

To find: The amount of Medicare benefits paid out in 2040.

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P-23RECh-2 P-24RECh-2 P-25RECh-2 P-26RECh-2 P-27RECh-2 P-28RECh-2 P-29RECh-2 P-30RECh-2 P-31RECh-2 P-32RECh-2 P-33RECh-2 P-34RECh-2 P-35RECh-2 P-36RECh-2 P-37RECh-2 P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-55RECh-2 P-56RECh-2 P-57RECh-2 P-58RECh-2 P-59RECh-2 P-60RECh-2 P-61RECh-2 P-62RECh-2 P-63RECh-2 P-64RECh-2 P-1BMCh-2 P-2BMCh-2 P-3BMCh-2 P-4BMCh-2 P-5BMCh-2 P-6BM

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