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satela [25.4K]
2 years ago
10

Kay started a chess club, and for a while she was the only member. She planned to have each member find two new members each mon

th. By the end of the first month, she had found two new members. If her plan is carried out, how many members will the club have at the end of 6 months
Mathematics
1 answer:
Lyrx [107]2 years ago
6 0

Answer:

  127

Step-by-step explanation:

The sum of 7 terms of the series 1 +2 +4 +... with first term 1 and common ratio 2 is given by ...

  Sn = a1 × (r^n -1)/(r -1) . . . . . . first term a1, common ratio r

  S7 = 1 × (2^7 -1)/(2 -1) = (128 -1)/1 = 127

At the end of 6 months, the club will have 127 members.

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Sum-of-the-year digits = (remaining useful life / sum of the years ) x  (Cost of asset - Salvage value)

Depreciation expense in year 1:

Sum of the years = 1 +2 +3 +4 + 5 + 6 + 7 + 8 + 9 + 10+ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210

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Book value = 79600 - 7200 - 6840 = $65,560

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