<span>let x = the number of liters of the 20% solution.
let y = the number of liters of the 60% solution.
you want x + y to be equal to 40 liters.
x is the number of liters total in the first solution.
y is the number of liters total in the second solution.
you want .2 * x + .6 * y to be equal to .35 * 40
.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution.
you have two equations that need to be solved simultaneously.
they are:
x + y = 40
.2x + .6y = .35*40
simplify these equations to get:
x + y = 40
.2x + .6y = 14
you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection.
the graph looks like this:
the graph says the intersection is at the coordinate point of (25,15).
this means that x = 25 and y = 15.
x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution.
the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good.
</span>
Answer:
The line is ;
4y = -x + 56
or
y = -x/4 + 14
Step-by-step explanation:
Generally, the equation of a straight line is;
y = mx + c
where m represents the slope
so for y = 4x - 6
The slope is 4
If two lines are perpendicular, the product of their slopes is -1
So for the second line, the slope will be -1/4
The equation in the point slope format will be ;
y-12 = -1/4(x-8)
y-12 = -x/4 + 2
Multiply through by 4
4y-48 = -x + 8
4y = -x + 8 + 48
4y = - x + 56
Answer:
y= 2
x
+
2 i think
Step-by-step explanation:
Based on the current income to Frenza, and the proposed expansion amount, the net income and return on equity for the three options are:
Don't Expand:
- Net income = $100,000.
- Return on equity = 25%.
Debt financing:
- Net income = $137,200.
- Return on equity = 34.3%.
Equity financing:
- Net income = $150,000.
- Return on equity = 26.8%.
<h3>What happens if Frenza doesn't expand?</h3>
Net income will remain at $100,000.
Return on equity would be:
= Net income / Equity
= 100,000 / 400,000
= 25%
<h3>What happens if Frenza uses debt financing?</h3>
Income goes to $150,000.
Net income:
= Income - interest
= 150,000 - (8% x 160,000)
= $137,200
Return on equity:
= 137,200 / 400,000
= $34.3%.
<h3>What happens if Frenza uses equity financing?</h3>
Income goes to $150,000.
No interest payment so net income is $150,000.
Return on equity:
= 150,000 / (400,000 + 150,000 new equity)
= 26.8%
Find out more on return on equity at brainly.com/question/1427854.
Answer - Y= 2x+b
Step by step explaining-
