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

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Answer:

28 minutes

Step-by-step explanation:

we know that

1) A factory manufactures a metal piece in 32 minutes

2) New technology allowed the factory to cut that time by 8%

Remember that

[tex]100\%-8\%=92\%=92/100=0.92[/tex]

In this part 32 minutes represent the 100%

To find out how long  it take to manufacture the piece, multiply 32 minutes by the factor 0.92

[tex]32(0.92)=29.44\ min[/tex]

3) Then another improvement cut the time by 5%

Remember that

[tex]100\%-5\%=95\%=95/100=0.95[/tex]

In this part 29.44 minutes represent the 100%

To find out how long  it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

[tex]29.44(0.95)=28\ min[/tex]

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