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After each charging, a battery is able to hold only 99% of the charge from the previous charging. The battery was used for 5 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

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opudodennis

Answer:

500 hours

Explanation:

The sum of total hours over its lifetime will be given by

[tex]T=\frac {T_o}{1-r}[/tex]

Where T is total time, r is rate in decimal and To is the original charge hours. Substituting the original charge hours with 5 hours and rate as 0.99 then the time will be

[tex]T=\frac {5\ hours}{1-0.88}=500\ hours[/tex]

Therefore, the time is equivalent to 500 hours

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