SOLUTION: I'm very confused on this problem haven't did problems like this over 10 years. please help me and show all work. Thanks 1. Suppose you go to a company that pays 0.02 for the f

Question 1024896: I'm very confused on this problem haven't did problems like this over 10 years. please help me and show all work. Thanks
1. Suppose you go to a company that pays 0.02 for the first day, 0.04 for the second day, 0.08 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 31 days ?
Total Income =

2. Determine the seating capacity of an auditorium with 40 rows of seats if there are 15 seats in the first row, 17 seats in the second row, 19 seats in the third row, 21 seats in the forth row, and so on.
Total number of seats = ''.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Suppose you go to a company that pays 0.02 for the first day, 0.04 for the second day, 0.08 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 31 days ?
-----
In cents:
Day 1 - 2
Day 2 - 2+4 = 6
Day 3 - 2+4+8 = 14
etc.
-----
-->2*(2^31 - 1) cents
= 4294967294 cents
= $42,949,672.94
===============
2. Determine the seating capacity of an auditorium with 40 rows of seats if there are 15 seats in the first row, 17 seats in the second row, 19 seats in the third row, 21 seats in the forth row, and so on.
---
The 40th row has 15 + 2*39 = 93 seats
Make pairs:
Row 1 & 40 = 15+93 = 108 seats
Row 2 & 39 = 17+91 = 108 seats
etc.
There are 20 pairs
20*108 = 2160 total seats

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