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

To find the percent of the chips expected to be usable after 3 years, we first subtract the percent that will fail from 100% to get the percent that will still be usable: 100% - 11eb12b0_a99e_25df_b394_ad0ac9f5680e_TB7866_11 = 88eb12b0_a99e_25df_b394_ad0ac9f5680e_TB7866_11. Then, we use the formula (percent still usable)^(time in years) = (percent remaining after t years) to find the percent still usable after 3 years: (88eb12b0_a99e_25df_b394_ad0ac9f5680e_TB7866_11)^(3) ≈ 53%. Therefore, the best choice is B, 46.9%, which is the closest answer to 53%.

The Percent of a Certain Brand of Computer Chips That