Answer:
The common ratio is -6
Step-by-step explanation:
The given sequence is

The common ratio can be found using any two consecutive terms of the geometric sequence.

The correct answer is the last choice.
Answer:
y = 1/3x - 1
Step-by-step explanation:
Given the slope of 1/3, and the point (-3, -2): we can plug these values into the slope-intercept form, y = mx + b where:
m = slope
b = y-coordinate of the y-intercept, (0, <em>b</em>)
y = mx + b
-2 = 1/3(-3) + b
-2 = -1 + b
Add 1 to both sides to solve for b:
-2 + 1 = -1 + 1 + b
-1 = b
The y-intercept is b = -1.
Therefore, given the slope, m = 1/3, and y-intercept, b = -1:
the linear equation in slope-intercept form is:
y = 1/3x - 1
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Answer:
exact form : -19/12 Decimal form -1.583 Mixed number form -1 7/12
Step-by-step explanation:
Answer:
Step-by-step explanation:you would multiply all the side then I would divide how many sides there are
Answer:
Growth rate is 17%
2025 value is $76
Step-by-step explanation:
Here, we want to determine the annual growth rate
The general equation form is;
F = l( 1 + r)^n
where F is the future value
I is the initial value
r is the growth rate
n is the numbering years
To get the growth rate, we simply equate what we have in the bracket to 1 + r
Thus;
1 + r = 1.17
r = 1.17-1
r = 0.17
0.17 is same as 17/100 which is same as 17%
Secondly, we want to get the value of the book in 2025
What we have to do here is to substitute (2025-2000) for t which is 25
We have;
V(t) = 1.50(1.17)^25
V(25) = 75.986 which is approximately 76