Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. The probability is modeled by the function y=5(257996)x​, where x is the impurity​ concentration, and​ y, given as a​ percent, is the probability of the fuse malfunctioning.   Find the probability of the fuse malfunctioning for an impurity concentration of 0.19. Round to the nearest percent.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
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Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
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Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. The probability is modeled by the function
y=5(257996)x​, where x is the impurity​ concentration, and​ y, given as a​ percent, is the probability of the fuse malfunctioning.
 
Find the probability of the fuse malfunctioning for an impurity concentration of 0.19. Round to the nearest percent.
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