The volume of triangular prism V = A * h.
So, V = 3.5*5 = 17.5 cubic inches
First, add together the costs for buying their own stuff. 250+135+69+25=479.
Then figure for the professional costs. Put it in perspective of a year. 45*11+75=570.
Then subtract. Professional- DIY. 570-479=91.
$91 is about 2 months worth of work. So a year has 12 months.
12-2=10
Answer:10 months
Using the recurrence relation, we can find a couple more values in the sequence:
- a3 = 3a2 -3a1 +a0 = 3(4) -3(2) +2 = 8
- a4 = 3a3 -3a2 +a1 = 3(8) -3(4) +2 = 14
First differences are 0, 2, 4, 6, ...
Second differences are constant at 2, so the function is quadratic.
The sequence can be described by the quadratic ...
... an = n² -n +2
_____
We know the value for n=0 is 2, so we can find <em>a</em> and <em>b</em> using the given values for a1 and a2.
... an = an² +bn +2
... a1 = 2 = a·1² +b·1 +2 . . . . for n=1
... a + b = 0
... a2 = 4 = a·2² -a·2 +2 . . . . for n = 2; using b=-a from the previous equation
... 2 = 2a
... a = 1 . . . . so b = -1
Answer:
X=21
Step-by-step explanation:
Answer:
16
Step-by-step explanation: