(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
B
 
        
                    
             
        
        
        
Answer:
answer in the attached image
Step-by-step explanation:
hope this helps, have a nice day :)
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation: The area of the bedroom is
A=7yd^2
  
The total cost is the sum of the price rates times this area.  
  
C=A•($21+$5)/yd^2
  
where C is total cost.  
  
C=7yd^2•($21+$5)/yd^2
C=$182