Respuesta :
Answer:
3192.
Step-by-step explanation:
Given:
A new fitness center had 350 members in its first year.
The number of members increased by 14% each year thereafter.
Question asked:
Find the approximate number of members after 8 years.
Solution:
As we know:
[tex]A = P(1+\frac{r}{100} )\times n\\\\ A= Numbers\ of\ members\ after\ 8\ years\\ \\ P= Numbers\ of\ members\ in\ its\ first\ year\\\\ r=rate\ of\ increased\ member\\ \\ n=Total\ number\ of\ years[/tex]
[tex]A = P(1+\frac{r}{100} )\times n\\ \\ A=350(1+\frac{14}{100} )\times8\\ \\ A=350(1+0.14)8\\ \\ A=350\times1.14\times8\\ \\ A=3192[/tex]
Thus, number of members after 8 years will be 3192.
After 8 years, total members will be 998.
Important information:
- Members in first year (p) is 350.
- Each year member increased by (r) 14%.
- We need to find number of members after (t) 8 years.
According to the given data, calculation are as follows,
Total members = [tex]P ( 1 + r )^{t}[/tex]
by putting the value, we get
= [tex]350 ( 1 + 0.14 )^{8}[/tex]
= 350 [tex]\times[/tex] 2.8526
= 998.41 or 998 members
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