Answer:
c. $18,644
Step-by-step explanation:
We have been given that David's salary totals $79,000 per year. He can expect to pay federal income tax at a rate of 23.60%. We are asked to find the money that David will pay in federal income taxes every year.
To find the money that David will pay in federal income taxes every year, we will calculate 23.60% of $79,000.
Therefore, David will pay an amount of $18,644 in federal income taxes every year and option 'c' is the correct choice.
This is an excellent practice on the law of inclusion/exclusion.
For example, using | | to represent cardinality (i.e. count in the set)
|A∪B∪C|=|A|+|B|+|C|-|A∩B|-|B∩C|-|C∩A|+|A∩B∩C|.
I am not allowed to provide a link, but if you could use some additional reading, google "wiki Inclusion–exclusion_principle" and the first wiki entry should explain that in more detail.
Here we have
A=the set of 15bit numbers starting with 101xxxx...
B=the set of 15bit numbers starting with xx1010xxxx...
C=the set of 15bit numbers ending with xxxxxxxxxxx1001
A∩B=101010xxxxx
B∩C=101xxxxx...xxx1001
C∩A=xx1010xx...xxx1001
A∩B∩C=101010xxxxx1001
Therefore
|A|=2^12 (there are 12 bits left)
|B|=2^11 (there are 11 bits left)
|C|=2^11 (there are 11 bits left)
|A∩B|=2^9 (9 bits left)
|B∩C|=2^8 (8 bits left)
|C∩A|=2^7 (7 bits left)
|A∩B∩C|=2^5 (5 bits left)
Applying the inclusion/exclusion principle,
|A∪B∪C|
=|A|+|B|+|C|-|A∩B|-|B∩C|-|C∩A|+|A∩B∩C|
=2^12+2^11+2^11-2^9-2^8-2^7+2^5
=7328
The reciprocal of 7/10 is just the number flipped around. It is 10/7.
2.45 divided by seven equals .35.
So each oranges is .35¢
So now multiply .35 by 8 and you’ll get a total of $2.80
$2.80 for 8 oranges.
Answer:
A
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
3x = 3
x = 1
y = x
y = 1