Answer:
76.7 liters
Step-by-step explanation:
You have ...
C1×V1 = C2×V2
so ...
V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L
V2 ≈ 76.7 L
Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and
is some constant)
Substitute point (0, -4) into the equation:

Substitute point (-2, 8) and
into the equation:

Substitute point (1, -1) and
into the equation:

Equate to find h:

Substitute found value of h into one of the equations to find a:

Substitute found values of h and a to find k:

Therefore, the equation of the parabola in vertex form is:

So the vertex of the parabola is (0, -4)
Answer:
The question is false
Step-by-step explanation:
The equation is given as: v=by/3 but it is actually <span>v=bh/3
</span><span>
Ans, now, we need to solve this for variable h.
So, </span>v=bh/3
On cross multiplying, we get,
3 × v = bh
On dividing the complete equation by "b" we get,
(3×v) / b = (bh)/b
or (3×v) / b = h
Thus, the value of h is : 3v/b
Answer:
$2,226.96
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.

<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
First, change 10% into its decimal form:
10% ->
-> 0.1
Now lets plug in the values into the equation:


The final amount after 15 years is $2,226.96