The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
J(-5,3) K(-1,-2) L(3,4)
Step-by-step explanation:
Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.
Answer:
12
Step-by-step explanation:
9/0.75=12.
Answer:
(X-3)^2 - 4
Step-by-step explanation:
22 = 100%
26,40 = x%
26,4*100/22=120%
x=120%
120%-100%=20%
The answer is 20%
