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
![100\%-8\%=92\%=92/100=0.92](https://tex.z-dn.net/?f=100%5C%25-8%5C%25%3D92%5C%25%3D92%2F100%3D0.92)
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
![32(0.92)=29.44\ min](https://tex.z-dn.net/?f=32%280.92%29%3D29.44%5C%20min)
3) Then another improvement cut the time by 5%
Remember that
![100\%-5\%=95\%=95/100=0.95](https://tex.z-dn.net/?f=100%5C%25-5%5C%25%3D95%5C%25%3D95%2F100%3D0.95)
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
![29.44(0.95)=28\ min](https://tex.z-dn.net/?f=29.44%280.95%29%3D28%5C%20min)