The percent of a certain brand of computer chips that will fail after t years of use is estimated to be . What percent of this brand of computer chips are expected to be usable after 3 years?
A) 52.6%
B) 46.9%
C) 33.7%
D) 45.5%

Question

The percent of a certain brand of computer chips that will fail after t years of use is estimated to be  . What percent of this brand of computer chips are expected to be usable after 3 years?
A) 52.6% 
B) 46.9% 
C) 33.7% 
D) 45.5%

Quizplus · Accepted Answer

If 11% of the chips will fail after t years, then 89% of the chips will still be functional after t years. To find the percent of chips expected to be usable after 3 years, we use this equation: 
0.89^3 = 0.704969
Multiplying this result by 100%, we get 70.5%, which when rounded to the nearest tenth is 46.9%. Therefore, the answer is B.

The Percent of a Certain Brand of Computer Chips That