The impact of a 6% inflation rate on an $90,000-per-year pension can be severe. If P represents the purchasing power (in
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The impact of a 6% inflation rate on an $90,000-per-year pension can be severe. If P represents the purchasing power (in
The impact of a 6% inflation rate on an $90,000-per-year pension can be severe. If P represents the purchasing power (in dollars) of an $90,000 pension, then the effect of a 6% inflation rate can be modeled by the differential equation dp dt = -0.06P, P(0) = 90,000 where t is in years. (a) Find the particular solution to this differential equation. (b) Find the purchasing power after 10 years. (Round your answer to the nearest cent.)
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