Yuki wants to make a reduced-size copy of a drawing. The original drawing is 14inches long. Yuki's copier can only reduce by 75%. Find the length of a copy after Yuki reduces it 4 times at 75% each time. Round your answer to the nearest hundredth of an inch.
0.05 inches
To find the length of the copy after Yuki reduces it 4 times at 75% each time, we need to multiply the original length by the reduction factor each time.
Yuki's copier reduces by 75%, which means the reduction factor is 1 - 0.75 = 0.25.
To reduce the length by 75% once, Yuki needs to multiply the original length by the reduction factor, which is 14 * 0.25 = 3.5 inches.
Let's do this calculation four times to find the length of the copy after reducing it 4 times:
First reduction: 14 * 0.25 = 3.5 inches
Second reduction: 3.5 * 0.25 = 0.875 inches
Third reduction: 0.875 * 0.25 = 0.21875 inches
Fourth reduction: 0.21875 * 0.25 = 0.0546875 inches
Rounded to the nearest hundredth of an inch, the length of the copy after reducing it 4 times is approximately 0.05 inches.