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.
B should be correct
Hope that helped
Answer:
The answer is R
Explanation:
Since there are 4 sides, we divide 360 by 4 to find the amount needed to turn to move from one side to another. So we move P one side, landing on Q, then we move it 3 sides counter-clockwise (270/90=3 sides), landing on R
Hope it helps!
Answer:
34 apples
Step-by-step explanation:
To answer: try setting up each of the equations for Annie and Eva.
Annie: 2(bag) + 5
Eva: 1(bag) + 11
Those two equations equal each other. So set that up:
2(bag) + 5 = 1(bag) + 11
Now solve for the size of the bag.
2(bag) - 1(bag) = 11 - 5
1(bag) = 6 apples
Now substitute 6 back into either equation to determine number of apples.
Annie: 2(6) + 5 = 12+5=17
They each have 17, so there are 34 apples in total.
Answer:
2. trust me.. i did it before.
