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MathNet 2010 — Part 06 Question 34

Math Olympiad Vault · MathNet 2010 — Part 06

Question 34

Ventilation devices clean the air in the bar. The air flow rate for the first device changes according to the $f(t)=2^{t}$ formula, and the $f(t)=2^{t+3}$ for the second. In the bar, they have four devices of the first type and one of the second type. $S$ How many ventilation devices with flow $f(t)=2^{t+2}$ could you replace the existing ones?