Sam has $440 in $20, $10, and $5 dollar bills. The number of twenties, tens and fives are consecutive integers in this order. Ho
1 answer:
Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
Step-by-step explanation:
Let the number of twenties be x
Let the number of tens be x+1
Let the number of fives be x+2
Amount from twenties will be given as
Amount from tens will be given as
Amount from fives will be given as
According to question,
So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
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First, start by graphing the given region.
You should get a parabolic shape with min at (0,6) and end points intersecting with y=7.
When you rotate this around y=5, it will look like a vertical doughnut.
The cross-section of a doughnut is circular and looks like a washer.
Hence, we will use the 'washer method'
R is radius of outer ring from center which is y=5. The max value of region is y=7, giving a distance of 2 for our radius.
R = 2
'r' is radius of inner ring, this is point along curve f(x)=5+sec(x).
The distance from y=5 would be f(x) - 5.
r = sec(x)
You should get a parabolic shape with min at (0,6) and end points intersecting with y=7.
When you rotate this around y=5, it will look like a vertical doughnut.
The cross-section of a doughnut is circular and looks like a washer.
Hence, we will use the 'washer method'
R is radius of outer ring from center which is y=5. The max value of region is y=7, giving a distance of 2 for our radius.
R = 2
'r' is radius of inner ring, this is point along curve f(x)=5+sec(x).
The distance from y=5 would be f(x) - 5.
r = sec(x)