You multiply both of the equations until you have two of the same term the same like for example, say I have 4x and 5x. You want to multiply until both have the same number, so multiply 5x by four, then multiply 4x by five, and you will get 20x, then both of those cancel out and you will be left with the other variable, and you just solve like a normal equation.
Answer:
A... 12
Step-by-step explanation:
Answer:
a = 2 5/8
Step-by-step explanation:
14a - (2a + 9) = 3 (12a - 18)
14a - 2a + 9 = 36a - 54
12a + 9 = 36a - 54
12a - 36a = -54 - 9
-24a = -63
a = -63/-24
a = 21/8
a = 2 5/8
Answer:
9% fund: $
210,000
13% fund: $70,000
Step-by-step explanation:
As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.
This correspond to a capital of:
9% fund: 0.75*$280,000 = $
210,000
13% fund: 0.25*$280,000 = $70,000