Question

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?

Answer 1

500 hours

Step-by-step explanation:

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

`T=\frac {T_o}{1-r}`

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

`T=\frac {5\ hours}{1-0.88}=500\ hours`

Therefore, the time is equivalent to 500 hours