Answer:
Step-by-step explanation:
We first need to figure out what the equation is for this set of circumstances before we can answer any questions. We will use the equation
which is just another form of an exponential equation where
(1 + r) is the growth rate, P is the initial investment, and t is the time in years. We will fill in the values we know first to create the equation:
which simplifies to
Now we'll just sub in a 1 for t and solve, then a 2 for t and solve.
When t = 1:
A(t) = 4000(1.11) so
A(t) = 4440
When t = 2:
which simplifies to
A(t) = 4000(1.2321) so
A(t) = 4928.40
Answer:
0.81
Step-by-step explanation:
P(success) = 0.9
P(failure) = 1 - 0.9 = 0.1
Binomial probability:
P(X=n) = nCr (0.9)^n (0.1)^r
Here, n=2 and r=0:
P(X=2) = ₂C₀ (0.9)² (0.1)⁰
P(X=2) = 0.81
that would be 60.875
also there is such thing as a calculator
Answer:
1) (-3,-2)
2) x=-3
Step-by-step explanation:
1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).
2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.
