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horsena [70]
2 years ago
7

Find the measure of angle QPR. Given m m m Find m

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0

Since Angle QPS is a straight angle, it equals 180 degrees.

Angles QPR and RPS equal QPS.

Angle QPR + Angle RPS = QPS

(7x-4) + (9x-40) = 180

x=14

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Find the point, M, that divides segment AB into a ratio of 5:5 if A is at (0, 15) and B is at (20, 0).
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Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%
Alex787 [66]
The answer is:  "2.5 years" . 
___________________________________________________
  Note:   I = P * r * t  ;    { " Interest = Principal * rate * time "} ; 

          →     Solve for "t" {"time", in years} ;  

Divide each side of the equation by "{P * r}"  ;  
   to isolate "t" on one side of the equation ;

→  I / (P * r)  = {P * r * t) / (P * r} ; 

to get:  " I / (P * r) = t " ;  

  ↔  t = I / (P * r) ; 

Given:  I = $450 ;  
  
            <span>P = $2400 ; 

            r = 7.5% = 7.5/100 = 0.075 ; 

Plug in these values into the formula to solve for the time, "t" :

        </span>→  t  =  I  /  (P  *  r )   ;  

                 =  $450  /   (<span>$2400 * 0.075) ;

                 =  </span>$450  /   ($2400 * 0.075) ;

                 =  $450 / $180 ; 

                 =  $45 / $18 ; 

                 =  ($45 ÷ 9) / ($18 ÷ 9) 

                 =  $5 / $2 ; 

                 =  2.5  ; 

        →  t  =  2.5 years.
_______________________________________________________
The answer is:  "2.5 years" . 
_______________________________________________________
7 0
3 years ago
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