A factory manufactures a metal piece in 32 minutes. New technology allowed the
factory to cut that time by 8%. Then another improvement cut the time by 5%.
How long does it take to manufacture the piece now? Round your answer to
the nearest minute.

It takes 28 minutes to manufacture the piece now.
Step-by-step explanation:
It is given that,
A factory manufactures a metal piece in 32 minutes.
After the new technology,
the  factory cut that time by 8%.
Therefore, the time after the new technology is known by reducing the 8% of total time from the 32 minutes.
⇒ 8% of 32 = (8/100) × 32
⇒ 0.08 × 32
⇒ 2.56 minutes
The time after the new technology allowed = 32 minutes - 2.56 minutes
⇒ 29.44 minutes.
Again,
the time is cut by 5% after the another improvement.
Therefore, the time after the another improvement  is known by reducing the 5% of previous time 29.44 minutes.
⇒ 5% of 29.44 = (5/100) × 29.44
⇒ 0.05 × 29.44
⇒ 1.472 minutes
The time after the another improvement = 29.44 minutes - 1.472 minute
⇒ 27.9 minutes. (Which is approximately 28 minutes)

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