we are given

For finding asymptote , we can find limit


now, we can solve it


so, horizontal asymptote is
.............Answer
From 100 to 80 is 8/10, so the recursive formula is
an=a(n-1)*1/8
or
an= a1*1/8(n-1)
an=a1*(n-1)/8
Answer:
a. 1 1/8 b. 8/9
Step-by-step explanation:
You can set this up as a proportion to solve. For part a. we know that 2/3 of the road is 3/4 mile long. 2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length. Set up the proportion like this:

Cross multiplying gives you:

The 3's on the right cancel out nicely, leaving you with

To solve for x, multiply both sides by 3/2:
gives you

That means that the road is still missing 3/8 of a mile til it's finished. The length of the road is found by adding the 3/4 to the 3/8:

So the road is a total of 1 1/8 miles long.
For b. we need to find out how much of 1 1/8 is 1 mile:
1 mile = x * 9/8 and
x = 8/9. When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.
Answer:

Step-by-step explanation:
So, you basically want the equation of the circle.
Given:
Center(C): 

The equation of circle is:

Where,
represents the center point and
is the radius of the circle.
Plotting the values in the equation:


This is the equation of the circle of center (5, 2) and radius 3.
Answer:
4/13
Step-by-step explanation:
6+3+4 =13
4/13