Answer:
Step-by-step explanation:
<u>Calculate and compare:</u>
- A) $32000
- B) $18.5*35*52 = $33670
- C) $30000 + 5% = $30000 + $1500 = $31500
- D) $17.5*35*52 + $1500 = $33350
Answer:
x=0, 0 bacteria
x=2, 4000 bacteria
x=5, 10000 bacteria
Step-by-step explanation:
For this question, all we have to do is input the x values into the expression in order to get the number of bacteria for each given x-days.
So for example if x=0 then we input it as 1000x2(0) which equals 0
Answer:
1 < a < 13/5
Step-by-step explanation:
2 < 2a - 3(1 -a) < 10
2 < 2a - 3 + 3a < 10
2 < 5a - 3 < 10
2 + 3 < 5a - 3 + 3 < 10 + 3
5 < 5a < 13
5/5 < 5a/5 < 13/5
1 < a < 13/5
Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²
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