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melisa1 [442]
3 years ago
15

Membership in a skiing club is expected to grow by about 8% per month. Currently,there are 530 members. In about how many months

will membership reach 850 members?
A-14months
B-11months
C-9months
D-6months
Mathematics
2 answers:
Anna [14]3 years ago
5 0

Answer: D - 6 months

Step-by-step explanation:

It is given that,

The current number of members = 530,

Monthly rate of increasing members = 8 %,

Let after x months the number of members will 850,

Thus, we can write,

530(1+\frac{8}{100})^x=850

530(1+0.08)^x=850

1.08^x=\frac{850}{530}

x log(1.08) = log(1.60377358)\implies x =\frac{log(1.60377358)}{log(1.08)}=6.13764228\approx 6

Thus, About in 6 months the number of members will 850.

Harrizon [31]3 years ago
3 0
850 = 530 * (1.08)^x
850 / 530 = (1.08)^x
1.6 = (1.08)^x
x = 6

D, 6 months
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