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Problem 9 (2022 AMC 8)

AMC 8Easy

From module Geometric Sequences

Problem

A cup of boiling water (212∘F212^\circ\text{F}) is placed to cool in a room whose temperature remains constant at 68∘F68^\circ\text{F}. Suppose the difference between the water temperature and the room temperature is halved every 55 minutes. What is the water temperature, in degrees Fahrenheit, after 1515 minutes?

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