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.
8 divided by 2 = 4
6 divided by 2 = 3
so 3 cups of sugar would be correct
Answer:
-3<x<3
Step-by-step explanation:
let y=0
0=x^2-9
0=(x+3)(x-3)
x=-3 and x=+3
Answer:
164
Step-by-step explanation:
10+11+12+13+14+15+16+17+18+18+20 = 164
Firstly, foil 2(-7 + 3g): 
Next, combine like terms: 
Next, add g on both sides: 
Next, add 14 on both sides: 
Lastly, divide both sides by 13 and <u>your answer will be 
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