Lösungen einfache Zinsen

von Oliver und Moritz G.

1.  K₀= 1 Groschen                                  K_n= 1  (1 + 0,05  2000)

      i= 5%                                                    K_n= 1  101

      n= 2.000 Jahre                                    K_n= 101 Groschen

2.  K_n= 83.300 €                                        83.300 = 80.000 ( 1 + i   0,375)

      K₀= 80.000 €                                       83.300 : 80.000 = 1 + i  0,375

       n= 4,5 M. : 12= 0,375 Jahre            1,04125 = 1 + i  0,375          / - 1 

                                                                     0,04125 = i  0,375                 / : 0,375

                                                         i = 0,11 -> 11%

3.  K_n= 7.398 €                                            7.398 = 7.200( 1 + 0,05  n)

      K₀= 7.200 €                                          7.398 : 7.200 = 1 + 0,05  n

       i= 5%                                                     1,0275 = 1 + 0,05  n          / - 1

                                                                      0,0275 =  0,05  n             / : 0,05

                                                                      n = 0,55 J.  365 = 200,75 ~ 201 Tage