Answer: x = -0.58
Step-by-step explanation:
-3x+2-5x-7=4x+2
First step, collect like terms
-3x -5x-4x = 2-2+7
-12x = 7
x = 7/-12
x = -0.58
13d-(-9d-4)
Transfer minus sign to all numbers in parenthesis. = 13d +9d +4 =
Answer: 22d+4
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
Answer:
x=6, y=75
Step-by-step explanation:
Since the diameter of the circle is a perpendicular bisector to the chord, x and 6 must be equal and therefore x=6. It also bisects the arc, meaning that y=75. Hope this helps!