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:
<h2>2.1 g</h2>
Step-by-step explanation:
The mass of a substance when given the density and volume can be found by using the formula
mass = Density × volume
From the question we have
mass = 0.70 × 3
We have the final answer as
<h3>2.1 g</h3>
Hope this helps you
 
        
             
        
        
        
<span>Replace tan θ with sin θ/cos θ 
= sin²θ/cos θ + cos θ 
Now multiply the right-hand side by cos θ/cos θ to get the same denominator: 
= sin²θ/cos θ + cos²θ/cos θ 
= (sin²θ + cos²θ)/cos θ 
The numerator is equivalent to 1: 
= 1 / cos θ 
= sec θ</span>
        
             
        
        
        
If Tony bought 20 out of 80 tickets, then it would be 25% because 20 is 1/4 of 80.
Hope I helped!