

When

, you're left with

When

or

, you're left with

Adding the two equations together gives

, or

. Subtracting them gives

,

.
Now, you have



By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that

and

. These alone tell you that you must have

and

.
So the partial fraction decomposition is
Answer:
$68.44 for each additional belt
Step-by-step explanation:
The cost and revenue functions are:

The profit function, P(x), is given by subtracting the cost function from the revenue function.

The derivate of the profit function gives us the rate at which profit changes:

For x = 484, the rate of change is:

Profit is increasing by $68.44 for each additional belt
Answer:
140
Step-by-step explanation:
30+30=60
40+40=80
60+80=140
Answer:
mean:6, median:6, mode:5 and 6,
Step-by-step explanation:
Mean is average, mode, is the number that occurs most frequently, median is the middle number.
T=7556=165x+2771
we need to solve for x, number of years after 1996.
165x=7556-2771=4785
x=4785/165=29
It will be in year 1996+29=2025 that estimated fees and tuition average $7556