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: 3/14
Step-by-step explanation:
Number of red marbles = 4
Number of green marbles = 6
Number of white marbles = 1
Number of blue marbles = 3
Total number of marbles = 14
Therefore, the probability of drawing one blue marble will be:
= Number of blue marbles / Total number of marbles
= 3/14
Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
Answer:
Not solveable
Step-by-step explanation:
because that to solve the two unkown number you must have two equations of it in order to solve it
Answer:
Step-by-step explanation:
Choosing a white pen from box a
