Question

Statistics show that the fractional part of a battery 8that is still good after hours of use is given by B 4-0 What fractional part of the battery is still operatingafter 300 hours of use)AnswerHow to answer nens in new window)Keypad

Answer 1

Given,

`B=4^(-0.01t)`

t = 300

Replace,

`B=4^(-0.01\cdot\:300)`

Multiply -0.01*300 = 3

`B=4^(-3)`

Apply exponent rule,

`a^(-b)=(1)/(a^b)`
`B=(1)/(4^3)`

Simplify, 4^3=64

`B=(1)/(64)`

Answer: B = 1 / 64