V=Vo (1-r/100)^n
V=46900(1-3.2/100)^8
V=46900(96.8/100)^8
V=46900*(.968)^8
V=36155.61
V=36155(approx)
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
Let x represent the amount of 10% solution used.
Let y represent the amount of 25% solution used.
Since 30 liters of 15% solution are being made, our first equation is
x + y = 30
Now we deal with the actual peroxide in each solution.
x liters of 10% peroxide contain 0.1x liters of peroxide.
y liters of 25% peroxide contain 0.25y liters of peroxide.
30 liters of 15% peroxide contain 0.15 * 30 = 4.5 liters of peroxide.
From this information, we can write our second equation.
0.1x + 0.25y = 4.5
We have a system of equations:
x + y = 30
0.1x + 0.25y = 4.5
Multiply the first equation by -0.25 and add to the second equation.
-0.25x - 0.25y = -7.5
0.1x + 0.25y = 4.5
---------------------------
-0.15x = -3
x = 20
Answer: 20 liters
.08 is the product rounded to the nearest hundredth
9514 1404 393
Answer:
12/11 = 1 1/11 hours
Step-by-step explanation:
The total rate is the sum of the individual rates in rooms per hour.
Tom can paint 1/4 room per hour.
Sam and Victor can each paint 1/3 room per hour.
Their total rate is ...
1/4 +1/3 +1/3 = 11/12 . . . rooms per hour
The rate in "hours per room" is the inverse of this.
It takes them 12/11 = 1 1/11 hours to paint one room.
