A.3
B. 4
C. 2
D.1
Linear lines are constant rates
Horizontal lines are not moving
Changing lines change rates
The greatest common factor is 1.
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.
The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
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