Answer:
The many members should the club expect to have 5 years from now is 167.
Step-by-step explanation:
The number of members in the club at present is, 45.
It is provided that each year the club's enrollment increases by 30%.
Compute the increasing rate as follows:
[tex]Rate=1+0.3=1.3[/tex]
Then the number of members in the club after n years is given by the equation:
[tex]Number\ of\ members\ after\ n\ years=45\times (1.3)^{n}[/tex]
Compute the number of members in the club after 5 years as follows:[tex]Number\ of\ members\ after\ 5\ years=45\times (1.3)^{5}\\=45\times (1.3)^{5}\\=45\times 3.71293\\=167.08185\\\approx167[/tex]
Thus, the many members should the club expect to have 5 years from now is 167.
