Answer:
- f(t) = 6000*1.03^t
- k = 0.0295588
Step-by-step explanation:
The formula for exponential growth can be written a couple of different ways. One I prefer uses the problem numbers directly:
population = (initial population) × (growth factor)^t
Here, the initial population is 6000, and the growth factor is 1+3% = 1.03. Then the function can be written as ...
f(t) = 6000·1.03^t
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Another way to write the function is using the form ...
f(t) = (initial population) × e^(kt)
where k is the natural logarithm of the growth factor. In this form, we have ...
k = ln(1.03)
k ≈ 0.0295588
so the function would be written ...
f(t) = 6000·e^(0.0295588t)
Answer:
B.
Step-by-step explanation:
Time series is a series of data points indexed (listed or graph) in a time order.
Answer:
1 2/14 ; 1 1/7
Step-by-step explanation:
To solve, change the division sign to a multiplication sign and flip the second fraction.
(4/7)/(2/4) = (4/7)(4/2)
Multiply across
(4 * 4)/(7 * 2) = (16)/(14)
Simplify. Change to mixed fraction (& further simplify if needed).
16/14 = 1 2/14
~
Answer:
See the attachment
Step-by-step explanation:
The equation is in point-slope form, so you can read from the equation that one of the points on the graph is (2, 5).
The slope of 3/2 tells you that going 2 units to the right (to x=4) will move the point up 3 units (to y=8).
You can draw your line through these two points: (2, 5) and (4, 8).
9x - 8y = -11
-9x + 3y = 21
Add the second equation
9x - 8y = -11
+ (-9x) + 3y = 21
-5y = 10
divide both sides by -5
y = -2
substitute y into one of the two equations in the beginning
9x - 8(-2) = -11
9x + 16 = -11
subtract 16 on both sides
9x = -27
divide both sides by 9
x = -3
The answer is (-3, -2)
x = -3
y = -2
