Answer:
≈$12601.72
Step-by-step explanation:
Use the compounded interest formula:
In our case,
P = 3000
r = 8% = 0.08
n = 12 (months per year)
t = 18 (years in total)
Therefore, A ≈ $12601.72 (2.d.p.)
This type of problem can be decided by looking at whether the function is positive or negative in the vicinity of the zeros. There are three roots: -12, -6, and 2 at which the function is clearly 0. Look at the four intervals the x axis:
interval x<-12: function is negative (just test using a number <-12, say, -13)
interval (-12,-6): function is positive
interval (-6, 2): function is negative
interval x>2: positive
From the above you deduce that at the roots the function must be crossing the x-axis (as opposed to just touching it) because the function value changes its sign every time.
A^2 + b^2 = c^2
a^2 + 9^2 = 18^2
a^2 + 81 = 324
a^2 = 243
a = 15.589 = 15.6 feet is the angle the ladder is at :)
<span>6/x-4+5/x u can make common denominator
</span>
6 / x - 4 x / x + 5 /x
the answer is 11/x - 4x / x
<span> </span>
Answers:
Vertex is (-1,0)
Axis of symmetry is x = -1
============================================
Explanation:
F(x) = 3(x+1)^2
is the same as
y = 3(x-(-1))^2 + 0
which is in the form
y = a(x-h)^2 + k
We can see that
a = 3
h = -1
k = 0
Therefore the vertex is (h,k) = (-1,0)
The axis of symmetry is x = h = -1 which is the equation x = -1
The axis of symmetry in this case is a vertical line through the vertex.
