Answer: B. Jonesville is growing linearly and Smithville is growing exponentially.
Step-by-step explanation:
Linear growth :
- Population grow by a constant amount after each time period.
- The rate of change of dependent variable with respect to independent variable is a constant.
- It is represented by line on graph.
- Equation for linear growth :  , c = initial value and m is the rate of change of y with respect to x. , c = initial value and m is the rate of change of y with respect to x.
Exponential growth :
- Population grow by a constant ratio .
- It is represented by a curve on graph.
- Equation for exponential growth :  , a = initial value and r is  rate of growth ( in decimal ) and x is time period. , a = initial value and r is  rate of growth ( in decimal ) and x is time period.
Given : Jonesville's population grows by 170 people per year.
i.e .Population grow by a constant amount per year.
⇒ Jonesville is growing linearly.
The population of smithville grows by 7% per year.
i.e. Population grow by a constant ratio.
⇒Smithville is growing exponentially.
Hence, the true statement is "B. Jonesville is growing linearly and Smithville is growing exponentially."
 
        
             
        
        
        
Answer:
The estimate of In(1.4) is the first five non-zero terms.
Step-by-step explanation:
From the given information:
We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)
So, by the application of Maclurin Series which can be expressed as:

Let examine f(x) = In(1+x), then find its derivatives;
f(x) = In(1+x)           

f'(0)   
f ' ' (x)    
f ' ' (x)   
f '  ' '(x)   
f '  ' '(x)    
f ' '  ' '(x)    
f ' '  ' '(x)   
f ' ' ' ' ' (x)    
 f ' ' ' ' ' (x)    
Now, the next process is to substitute the above values back into equation (1)



To estimate the value of In(1.4), let's replace x with 0.4


Therefore, from the above calculations, we will realize that the value of  as well as
 as well as  which are less than 0.001
 which are less than 0.001
Hence, the estimate of In(1.4) to the term is  is said to be enough to justify our claim.
 is said to be enough to justify our claim.
∴
The estimate of In(1.4) is the first five non-zero terms.
 
        
             
        
        
        
X-intercept: 9
Y-intercept: 3
Intercepts are plotted on the graph below
 
        
        
        
50%. Each coin has a 50% chance on landing on head and a 50% chance of landont on tails.
        
             
        
        
        
Answer:
90$ profit 
Step-by-step explanation:
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