If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of
<em>x</em> + <em>y</em> = 500
litres, and it contains
0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375
litres of alcohol.
Solve the first equation for <em>y</em> :
<em>y</em> = 500 - <em>x</em>
<em />
Substitute this into the second equation and solve for <em>x</em> :
0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375
0.65<em>x</em> + 450 - 0.90<em>x</em> = 375
75 = 0.25<em>x</em>
<em>x</em> = 300
Solve for <em>y</em> :
<em>y</em> = 500 - 300
<em>y</em> = 200
So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.
Answer:
APY = 0.04 or 4%
Step-by-step explanation:
Given the annual percentage rate of 3.5% that is compounded quarterly, and a principal of $6,500:
We can use the following formula to solve for the annual percentage yield (APY):
where <em>r</em> = interest rate = 3.5% or 0.035
<em> n</em> = number of compounding periods per year = 4
We can plug in the values into the equation:
APY = 1.03546 - 1
APY = 0.04 or 4%
Answer:
b. m = 2, b = 4
Step-by-step explanation:
y = mx + b
m = slope and b = y-intercept
The slope is 2 cause it's going up 2 squares while only going to the right one square each time, so u could right 2/1 but it's not necessary so just 2. And the intercept is 4 because that's where the line intercepts the y-axis.
Answer:
<u>1260 degrees (1260°)</u>
Step-by-step explanation:
<u>Formula to Find Sum of Interior Angles of a Polygon</u>
- 180 (n - 2)
- n is the <u>number of sides</u> of the polygon
<u>Nonagon (9-sided polygon)</u>
- 180 (9 - 2)
- 180 × 7
- <u>1260 degrees (1260°)</u>
