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Answer:</u></h3>
The function N(t) is given as:

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Step-by-step explanation:</u></h3>
Jenny studied the characteristics of two species of bacteria.
The number of bacteria of species A, A(t), after t hours is represented by the function:

The number of bacteria of species B, B(t), after t hours is represented by the function:

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:
N(t)=A(t)-B(t)

which on simplifying gives:

Hence,
Standard form of the parabola function: (y-k) = a(x-h)²
vertex (h,k)==> vertex (2,-5) [given]. Now plug==> y+5 =a(x-2)²
To calculate a, plug in the equation the coordinates of A(3,4)
4+5 = a(3-2)² ==> 9=a
Finally the equation is f(x) = y+5 = 9(x-2) or y = 9(x-2)² -5
Or f(x) =y = 9x² - 36x + 3
A = P(1+r/12)^12t, where A = amount after two years, P = Initial amount = $1000, r =apr = 4.2% = 0.042, t = period = 2 years
Then,
A = 1000 (1+0.042/12)^12*2 = $1087.47
Answer:
the higher the magnitude, the the lower the frequency.