Answer:
(-0.5,-2.5)
Step-by-step explanation:
x1+x2/2,y1+y2/2 that is the midpoint formula so just plug in the known numbers and solve
2-3 4-9
--- -----
2 2
x= -0.5
y= -2.5
Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.
1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then
2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then 
is annual interest income in Fund A.
Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then 
is annual interest income in Fund B.
Since Fund A and Fund B produce an annual interest income of $8,000, then
3. Solve the system of equations:
Express x from first equation 
and substitute it into the second equation
Multiply this equation by 1000:
Then
Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.
Answer:
27 chickens
Step-by-step explanation:
A chicken farmer also has cows for a total of 30 animals
Both animals have a total of 66 legs
Let a represent the number of chicken
Let b represent the number of cows
a + b= 30........equation 1
Since a chicken has only two legs and a cow has four leg then, the expression can be represented as
2a + 4b= 66........equation 2
From equation 1
a + b= 30
a = 30-b
Substitute 30-b for a in equation 2
2a + 4b= 66
2(30-b) + 4b= 66
60 - 2b + 4b= 66
60 + 2b= 66
2b= 66-60
2b= 6
b= 6/2
b= 3
Substitute 3 for b in equation 1
a + b = 30
a + 3=30
a= 30-3
a= 27
Hence the farmer has 27 chickens
Answer: There are 9 different types of note cards that the store sells.
We can use the Fundamental Counting Principle to determine the total number of options.
There are two different events in this problem. First, there are 3 kinds of cards. Second, there are 3 sizes for each kind.
Simply, multiply the 3 by the other 3 and you have 9 different options.
Just think, each card would have a small, medium and larger option. So there are 3 groups of 3 or 9 total options.
