Answer:
D. 5 +6k/n
Step-by-step explanation:
The width of the interval is (5 -2) = 3. The width of one of n parts of it will be ...
3/n
Then the difference between the left end point of the interval and the value of x at the right end of the k-th rectangle will be ...
k·(3/n) = 3k/n
So, the value of x at that point is that difference added to the interval's left end:
2 + 3k/n
The value of the function for this value of x is ...
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
Answer:
x=2
Step-by-step explanation:
3(3 - 8x) - 1 = -6x - 28
Distribute
9 -24x -1 = -6x -28
Combine like terms
8 -24x = -6x -28
Add 24x to each side
8-24x+24x = -6x-28+24x
8 = 18x-28
Add 28 to each side
8+28 = 18x-28+28
36 = 18x
Divide each side by 18
36/18 = 18x/18
2 =x
$154.63
Year 1: $25
Year 2: $27.5
Year 3: $30.25
Year 4: $33.28
Year 5: $36.60