Answer:
charges for the first hour = $7.55
charges for each additional hour = $1.55
c = 1.55h + 7.55
Step-by-step explanation:
Let
x = charges for the first hour
y = charges for each additional hour
x + 2y = 10.65 (1)
x + 5y = 15.30 (2)
Subtract (1) from (2)
5y - 2y = 15.30 - 10.65
3y = 4.65
y = 4.65/3
= 1.55
y = $1.55
Substitute y = 1.55 into
x + 2y = 10.65
x + 2(1.55) = 10.65
x + 3.10 = 10.65
x = 10.65 - 3.10
= 7.55
x = $7.55
c = 1.55h + 7.55
Answer: The solution is k = -171.92.
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
Answer:
72.033 ft
Step-by-step explanation:
To find this, let us set up a fraction. Since 18.47 = 1 second, y = is 3.9 seconds. Let "y" be the variable.

Step 1: Switch sides

Step 2: Apply rule: 

Step 3: Multiply both sides by 

Step 4: Simplify

The bear can run 72.033 feet in 3.9 seconds