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    14-Aug-2015

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  1. 1. 2015 19 , 20 .
  2. 2. , 2014 2015 . . , , , . 2015 ( ) 21 . 2014 2013 , . 2015 .
  3. 3. 2 12 . 10-21. 10-14 , 15-21 . * * * (1-9) . (10-21) . 15 16 . .
  4. 4. 17 18 . , . . 19, 20 21 . , , . , , , . , .
  5. 5. 19 3 31 2014 14% . 31 ( 14%), 4 548 600 . , ( )?
  6. 6. . a, x , k %. 31 m=1+0,01k. : a1=am-x. : a2 =a1 m-x=(am-x)m-x=am2 -mx-x=am2 -(1+m)x
  7. 7. k = 14%, m = 1,14 x = 4548600 p. n = 2 ( 2)_____________ a = ? am2 -x(m+1)=0 am2 =x(m+1) a= x(m+1) m2 a=4548600(1,14+1) = 9734004 = 1,142 1,2986 7490000 .
  8. 8. 4 31 2014 6 944 000 12,5 % . 31 ( 12,5 %), X . X, ( )?
  9. 9. k = 12,5%, m = 1,125 = 6944000 p. n = 3 ( 3 )__________________ = ? (am2 -x(m+1))m-x=0 am3 -x(m2 +m+1)=0 x= am3 m2 +m+1 x= 6944000(1,125)3 = (1,125)2 + 1,125+ 1 6944000 (1,423828125) =2916000 p. 3,390625
  10. 10. 5 1,1 . (, , ) . 10 % . , 270 ?
  11. 11. 6 1 2015 1 . 1 2 % ( 2 %), . , 250 ?
  12. 12. 7 31 2014 . 31 ( %), . 328 050 , 4 . 587 250 , 2 . ?
  13. 13. % k m = 1+ 0,01k n = 4, x1 = 328050 . n = 2, = 587250 . % k =? : n = 2, a2 = am2 -(1+m)x (, 0) = (1+m)x m2 n = 4, a4 = (am3 -m2 x1 -mx1 -x1 )m -x1 (, 0) = (m3 +m2 +m+1)x1 = (m+1) (m2 +1)x1 m4 m4 , m (1+m)x = (m+1) (m2 +1)x1 m2 m4 x m2 =x1 (m2 +1) x m2 - x1 (m2 +1) = 0 m2 = __ x1 __ x - x1 m2 = 328050 = 1,265625 m=1,125 k=(1,125 -1):0,01=12,5 259200 k=12,5%
  14. 14. 8 31 2014 10 % . 31 ( 10 %), 2 662 000 . , ( )?
  15. 15. 9 31 2014 1 . 31 ( %), . , 570 . , 599,4 . . ?
  16. 16. 10 31 2014 1 . 31 ( %), . , 700 . , 440 . . ?
  17. 17.