Answer:
Checkout the image below the explanation.
Step-by-step explanation:
1. First, let's solve the inequality.
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 2 from both sides.
Step 3: Divide both sides by -6 and flip the sign.
2. Now that we solved the inequality and got x > -1, that means that all values of x are more than -1. It can be represented on the number-line as this:
6.5 is the answer to your question
If there are n people, each person could shake hands with 0 people, 1 person, 2 people,... on up to shaking hands with n − 1
people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?
"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.
Answer: Choice C

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Explanation:
There are four marked points on the line.
Each point is of the form (x,y)
- The first or left most point is (0,1)
- The second point is (2,2)
- The third is (4,3)
- The fourth is (6,4)
Each of these points is then listed in the table format as shown above.
There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).
Extra side notes:
- The slope of this line is m = 1/2 = 0.5
- The y intercept is 1 located at (0,1)
- The equation of this line is y = 0.5x+1
wheee
Compute each option
option A: simple interest
simple interest is easy
A=I+P
A=Final amount
I=interest
P=principal (amount initially put in)
and I=PRT
P=principal
R=rate in decimal
T=time in years
so given
P=15000
R=3.2% or 0.032 in deecimal form
T=10
A=I+P
A=PRT+P
A=(15000)(0.032)(10)+15000
A=4800+15000
A=19800
Simple interst pays $19,800 in 10 years
Option B: compound interest
for interest compounded yearly, the formula is

where A=final amount
P=principal
r=rate in decimal form
t=time in years
given
P=15000
r=4.1% or 0.041
t=10


use your calculator
A=22418.0872024
so after 10 years, she will have $22,418.09 in the compounded interest account
in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09