   # Impact of inflation The impact of a 5% inflation rate on an \$80,000-per-year pension can be severe. If P represents the purchasing power (in dollars) of an \$80,000 pension, then the effect of a 5% inflation rate can be modeled by the differential equation d P d t = − 0.05 P , P ( 0 ) = 80 , 000 where t is in years. Find the particular solution to this differential equation. Find the purchasing power after 15 years. ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 12.5, Problem 61E
Textbook Problem
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## Impact of inflation The impact of a 5% inflation rate on an \$80,000-per-year pension can be severe. If P represents the purchasing power (in dollars) of an \$80,000 pension, then the effect of a 5% inflation rate can be modeled by the differential equation d P d t = − 0.05 P ,             P ( 0 ) = 80 , 000 where t is in years. Find the particular solution to this differential equation. Find the purchasing power after 15 years.

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