Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± 
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
it's C
Step-by-step explanation:
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The answer is here. Hope I did help you.
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above and solve for t
Simplify
Apply ln both sides
![ln(1.12)=ln[(e)^{0.045t}]](https://tex.z-dn.net/?f=ln%281.12%29%3Dln%5B%28e%29%5E%7B0.045t%7D%5D)
Remember that
so
It is in between
And
There for it is in between 5 and 6
Additionally, it is closer to root 25, meaning that it is closer to 5
Rounded to the nearest hundredth is
5.29
