A pan from the oven is sitting out to cool to room temperature. If the temperature difference between the pan and room temperature is currently 174°C and is decreasing by 5% every minute, how much above room temperature will the pan be in 21 minutes?
If necessary, round your answer to the nearest tenth.
The temperature difference is decreasing by 5% every minute, so the new temperature difference after 1 minute is 0.95 * 174°C = <<0.95*174=165.3>>165.3°C.
After 2 minutes, the temperature difference is 0.95 * 165.3°C = <<0.95*165.3=157.1>>157.1°C.
In 21 minutes, the temperature difference will be 0.95^21 * 174°C = <<0.95^21*174=83.3>>83.3°C above room temperature.
So the pan will be 83.3°C above room temperature. Answer: \boxed{83.3}.