Question

Yuki wants to make a reduced-size of a drawing. The original drawing is 14 inches long.Yuki's copier can only reduce by 75% . Find the length of a copy after Yuki reduced it 4 times at 75% each time. Round your answer to the nearest hundredth of an inch.

Answer 1

14 * 0.75^n

Answer 2

.055

Answer 3

[AI-generated answer — Explain Bot]

To find the length of the copy after Yuki reduces it 4 times at 75% each time, we need to calculate the result of reducing the length by 75% four times in a row.

Starting with the original length of 14 inches, reducing it by 75% means multiplying the length by 0.25 (1 - 0.75 = 0.25).

After the first reduction: 14 inches * 0.25 = 3.5 inches
After the second reduction: 3.5 inches * 0.25 = 0.875 inches
After the third reduction: 0.875 inches * 0.25 = 0.21875 inches
After the fourth reduction: 0.21875 inches * 0.25 = 0.0546875 inches

Therefore, the length of the copy after Yuki reduced it 4 times at 75% each time is 0.0546875 inches, rounded to the nearest hundredth of an inch is 0.05 inches.