10^-1 = 7 - 2x
We would be using the expression
y = abⁿ
a = starting number = 8 rabbits
b = rate of change = the number of rabbits doubles = 2
n = number of time intervals that has passed = unknown = number of months
y = rabbit population = 5800
y = abⁿ
5800 = 8 × 2ⁿ
Divide both sides by 8
5800 ÷ 8 = 2ⁿ
725 = 2ⁿ
n = 9.5 months.
Therefore, the number of months in which the rabbit population would reach 5,800 is 9.5 months
Decay formula is given by
where P= present value = 60
r= percent rate of decay =4.6%=0.046
t= number of years
Plug these values into above formula to get required exponential function.
To find about how many California Tiger Salamanders will be left after 4 years, plug t=4
Hence final answer is approx 50 California Tiger Salamanders .
(2x+7)=0 or (x-3)=0
2x=-7 or x=3
x=-3.5 or x=3
Hence final answer is x=-3.5 , x=3.
Hence standard form is
where a=-4.9, b=7.5, c=-0.3
Plug that into quadratic formula
Hence final answer is t=0.041, t=1.49
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