2(5n-2)=4(n+2)
10n-4=4n+8
6n-4=8
6n=12
n=2
Answer:
The total nuber of hours that the battery can be used over its lifetime is 600.
Step-by-step explanation:
We use an infinite geometric series to solve this question.
The sum of all values of an infinite geometric series is given by the following equation:

In which
is the first term and r is the common ratio.
After each charging, a battery is able to hold only 97% of the charge from the previous charging.
This means that 
The battery was used for 18 hours on its first charge before it had to be recharged.
This means that 
What is the total number of hours the battery can be used over its lifetime?

The total nuber of hours that the battery can be used over its lifetime is 600.
Answer:
160
Step-by-step explanation:
6.4 = 0.04x
6.4 / .04 = 160
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is equal to 0)
<u>1) Determine the slope (m)</u>
where two points that the line passes through are
and 
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation

Therefore, the slope of the line is 3. Plug this into 

<u>2) Determine the y-intercept (b)</u>
The y-intercept is given; it is 4. Plug this back into 

I hope this helps!