Answer:
Thank you for the free-points!!! <3
Step-by-step explanation:
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by ![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B0.549%7D%20%5C%5Cr%20%3D%200.82)
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
![4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82](https://tex.z-dn.net/?f=4%5C%20th%20%5C%20term%20%3D%20ar%5En-1%5C%5C-2.196%20%3D%204r%5E%7B4-1%7D%20%5C%5C-2.196%2F4%20%3D%20r%5E%7B3%7D%20%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B-0.549%7D%20%5C%5Cr%20%3D%20-0.82)
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
60 is the answer area is the base times heighth always remember that
Answer:
- g = -1110p +4300.9
- 804 gallons
Step-by-step explanation:
a) Price is the independent variable, so the data we are given can be written as ...
(price, gallons) = (2.99, 982) and (2.79, 1204)
Using the 2-point form of the equation for a line, we have ...
g = (g2 -g1)/(p2 -p1)(p -p1) +g1
g = (1204 -982)/(2.79 -2.99)(p -2.99) +982
g = -1110(p -2.99) +982 = -1110p +4300.9
g = -1110p +4300.9
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b) When p = 3.15, the predicted sales volume is ...
g = -1110(3.15) +4300.9 = 804.4
Weekly sales are predicted to be 804 gallons at a price of $3.15.
I believe it is y= -x + 4