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:________________________________________
Step-by-step explanation:
Answer:
c. 24 ft
Step-by-step explanation:
if the 12 inch ruler casts a 6 inch shadow (shadow has half size) then a tree with 12 feet long shadow will have a height of 24 feet
Answer:
x = 6
y = 3
Step-by-step explanation:
Give triangle is a right triangle.
By applying sine ratio in the given triangle,
sin(60)° = 
x = 6
Now we take the cosine ratio in the given triangle,
cos(60)° = 
y = 
y = 
Therefore, x = 6 and y = 3 will be the answer.
