8920000000.
Since the problem is asking for a positive 10^9 power, the final number with be greater than 8.92
Answer:
The minimum guaranteed mileage is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as



=> 
=> 
From the z table, the critical value corresponding to 0.96 to the left of the curve is

So

=> 
First, we need to solve the differential equation.

This a separable ODE. We can rewrite it like this:

Now we integrate both sides.

We get:

When we solve for y we get our solution:

To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:

When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
5(8x - 10) - 10x + 25(8x - 10) - 10x + 2
= (40x - 50) - 10x + (200x - 250) - 10x + 2
= 40x - 50 - 10x + 200x - 250 - 10x + 2
= (grouping like terms together)
= 40x - 10x + 200x - 10x - 50 - 250 + 2
= 220x - 298