<u>Answer:</u>

Initial value: 250
Decay
Decay rate: 11%

Initial value: 40
Growth
Growth rate: 11%
<u>Step-by-step explanation:</u>
The function we have on the left of the table is:

<u>Initial value</u> (when x = 0): 
y = 250 (initial value)
Growth or Decay: 0.89 < 1 so decay
Decay rate: (1 - 0.89) * 100 = 11%
Function on right side:

<u>Initial value</u> (when x = 0): 
y = 40 (initial value)
Growth or decay: 1.11 > 1 so growth
Growth rate: (1.11 - 1) * 100 = 11%
 
        
                    
             
        
        
        
An = a1 * r^(n-1)
-405 = -5*3^(n-1)
3^(n-1) = 81
3^4 = 81  so n-1 = 3  and n =  4
Sn  = S4  =  -5 (1 - 3^4)   / ( 1 - 3)   =  400 / -2 = -200 Answer
        
             
        
        
        
Answer:
y=27
Step-by-step explanation:
 
        
             
        
        
        
The ration is 12 muffins to every 21 donuts
        
                    
             
        
        
        
Initial number of Bacteria = Ao = 100
Number of Bacteria which make the person ill = A = 45,000,000
Growth rate = r = 150% = 1.50 
The equation model for this situation is:

Using the values in above equation, we can write:
 This means, the person will fall sick after about 14 hours.
This means, the person will fall sick after about 14 hours.