Answer:
time period is 260.57 years
Step-by-step explanation:
given data 
growth rate = 3.4 % = 0.034
population = 4118000
area  P = 29000000000 square yard
to find out 
time period that one person for every square yard of land need
solution
we will apply here population growth formula that is 
total population P  = initial population ×  ..............1
    ..............1
here r is rate of growth and t is time period and 
we consider here initial population is current population
so put value in equation 1 to get t 
29000000000 = 4118000 ×  
 
take ln both side 
ln 7042.25 = ln  
 
8.8596 = 0.034 t 
t = 260.57
so time period is 260.57 years
 
        
             
        
        
        
Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
Given expression:



Replace 900 with 30² :




(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).


Simplify:

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).
 
        
             
        
        
        
Answer:
g(x) is always decreasing
Step-by-step explanation:
Step 1: Distribute
g(x) = 4 - (2x - 12)
g(x) = 4 - 2x + 12
Step 2: Combine like terms
g(x) = -2x + 16
Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower. 
 
        
             
        
        
        
There are 4 people in total 
(including herself) 
so 36 smarties should be evenly distributed among 4 people 
so answer = 36/4 = 9