Answer:
C) 11703
Step-by-step explanation:
from 1900 to 1976 is 76 years.
substitute 76 for t:
S = 2(76)^2 + 2(76) - 1
S = 2(5776) + 152 - 1
S = 11552 + 151
S = 11703
Women can be seated in 89 ways.
Let Sn be the number of possible seating arrangements with n women. Consider n≥3 and focus on the rightmost woman. If she goes back to her seat, then there are Sn−1 ways to seat the remaining n−1 women. If he is sitting in the penultimate seat, then the woman who was sitting there before must now sit in the rightmost seat.
This gives us Sn−2 ways to seat another n−2 woman, so we get the recursion Sn=Sn−1+Sn−2. Starting with S1=1 and S2=2 we can calculate S10=89.
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Common denominator between 3 and 4 is 12. 2/3 becomes 8/12, and 3/4 becomes 9/12. Add them to get 17/12, which equals 1 and 5/12 lbs.
Answer:
John gave Fred $48
Step-by-step explanation:
Let
x be the amount of dollars John gave fred
y1 be the amount of dollars Fred has at the end
y2 be the amount of dollars John has at the end
Fred has
y1 = - $12 + x
John has
y2 = $84 - x
y1 = y2
- $12 + x = $84 - x
2*x = $96
x = $48
