5.555 = 5.1
+ 0.05 + 0.005
<span> = 5.5 + 0.05 + 0.05(.1)</span>
<span> = 5.5 + 0.05/(1-.1)</span>
<span> =5.5+0.05/.9</span>
<span> =5.5 + 5/90</span>
<span> = 5.5+1/18</span>
<span> =55/10 + 1/18</span>
<span> = 495/90 + 5/90</span>
<span> =500/90</span>
<span> = 50/9</span>
<span> = 5 5/9</span>
The correct answer is d15
Answer:
3rd option
Step-by-step explanation:
So we are given the following points:
(1,5)
(2,15)
(3,45)
(4,135)
This is a geometric sequence because there is a common ratio, 3. That is you can keep multiply 3 to a previous y-coordinate to get the next y-coordinate.
The formula for a geometric sequence is 
where 
is the first term and r is the common ration.
So we have
.
If you want to know the fifth term, just plug in 5:
Simplifying:
Answer:
The given equation is:
f(m) = 3(1.09)^m
where 'f(m)' represents the length of the fish after 'm' months.
Domain is considered as a set of all values of input. In this question, the input is number of months. The input should starts at 0 which will show the initial height and then as the number 'm' increases, the value of f(m) also increases.
Thus, the domain can be defined as m ≥ 0
y-intercept occurs at m=0. It means the height of the fish after 0 months, which can also be considered as initial height.
Calculate the value of function for m=2 and m=8
For m=2, f(2) = 3.564
For m=8, f(8) = 5.978
Average rate of change = (5.978-3.564) / (8-2)
Average rate of change = 0.402
It means the fish grows about 0.402cm each month in between 2 to 8 months
