You would take 6.4% into 1640000 and you would pay that the next 30 years
        
             
        
        
        
Answer:
Missing measure is 79º
Step-by-step explanation:
180-101
 
        
                    
             
        
        
        
Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
 48x - ky = 11
<u>-48x        </u>  <u> -48x</u>
          -ky = -48x + 11
           
    
             
 
Slope:  
 
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  (k + 2)x + 16y = -19
<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>
                  16y = -(k + 2)x - 19
                   
                   
Slope: 
**********************************************************************************
  and
 and  are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.
 are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.
 *
 *   = -1
 = -1
 = 1
 = 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769
 
        
             
        
        
        
Subtract 4, subtract 2x, then divide by -2
        
             
        
        
        
Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.


We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

Upon equating equation (1) and equation (2), we will get:






Upon substituting  in equation (1), we will get:
 in equation (1), we will get:

Therefore, Mai lives 384 miles away from the mountains.