there are 6 married couples at a party. at the start of the party every person shakes hands once with every other pserson except
1 answer:
Answer:
60 hand shakes.
Step-by-step explanation:
We have been given that there are 6 married couples at a party.
This means there are 12 people in total.
We know that number of handshakes for n people is given by formula .
We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.
So formula for this problem would be or
.
Since total numbers of people is party is 12, so we will get:
Therefore, there will be 60 hand shakes at the party.
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Answer:
<em>She will be paid $1,350</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
y=mx+b, where m and b are constants.
The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).
We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)
Let's use the points to find the values of m and b.
Using (16,000;1,600):
1,600=m*16,000+b
Using (12,000;1,400):
1,400=m*12,000+b
Subtracting both equations:
200=16,000m-12,000m
200=4,000m
Solving:
m=200/4,000=0.05
Using the first equation and the value of m:
1,600=0.05*16,000+b
1,600=800+b
Solving:
b=800
The equation is now complete:
y=0.05x+800
She sold $11,000 this month, so the payment is:
Y=550+800=1,350
She will be paid $1,350