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:D and E are correect
Step-by-step explanation:
Answer:
-1/4
Step-by-step explanation:
We can find the slope of a line given two points by using
m = (y2-y1)/(x2-x1)
= (-2- -1)/( -4 - -8)
= (-2+1)/(-4+8)
= -1/4
Answer: Whats is the question asking???
Step-by-step explanation:
2.99% x 5 = 167.22
10,500.00 + 167.22 = 10,667.22
