Question

Members of an online gaming group have been increasing by 25% every year. The group started with 75 members. How many members will the group have after 4 years?

Answer 1

183 member will the group have after 4 years, if the members of an online gaming group have been increasing by 25% every year. The group started with 75 members.

Step-by-step explanation:

The given is,

                Members of an online gaming group is 75

                Increasing by 25% every year

Step:1

                Formula to calculate the members in gaming group after few years with an rate of increase,

                                   $F = P(1+r)^{t}$.......................(1)

             Where, F - Members in gaming group after 4 years

                          P - Members in gaming group in initially

                           r -  Rate of increase in year

                           t - No. of years

Step:2

             From the given,

                        P = 75 members

                        r = 25 %

                        t = 4 years

             Equation (1) becomes,

                                  $F = 75(1+0.25)^{4}$

                                      $= 75(1.25)^{4}$

                                      = ( 75 ) ( 2.441406 )

                                      = 183.105

                                 F ≅ 183 members

Result:

          183 member will the group have after 4 years, if the members of an online gaming group have been increasing by 25% every year. The group started with 75 members