Answer:
688.7
Step-by-step explanation:
Top and Bottom
Area = 3/4 * pi * r^2
r = 6
Area = 3/4 * 3.14 * 6^2
Area = 84.78
Don't round yet.
Vertical surface
Vertical surface = 3/4 * pi * d * h
d = 12 inches (the diameter)
Vertical surface = 3/4 * 3.14 * 12 * 15
Vertical surface = 423.9
Two inner faces
They are both rectangles
Area = 2 * L * W
L = 15
w=6
Area = 2 * 15 * 6 <u> 180</u>
Total 688.68
Total = 688.7
Answer:
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Answer:
Amount invested at 7% = 16000
Amount invested at 9% = 12000
Step-by-step explanation:
Let x be the amount invested at 7% and y be the amount invested at 9%.
Since the total amount invested is $28000, therefore, we can set up the first equation as:

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

Now we need to solve these two equations to get the values of x and y.
First of all, we multiply the second equation with 100 in order to get rid of decimal values.

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.


Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.
Answer:
Step-by-step explanation:
Put the square roots together
4*5 * sqrt(14z^2 * 21z^3)
4*5 * sqrt(2*7 * z^2 * 3*7 z^2 * z)
The rule is to remove the perfect square from under the square root sign, you take 1 member of the perfect square out of the root sign, and throw the other one away. If there are an odd number of factors under the root sign, leave one of them alone.
4*5 * 7 z * z sqrt(2 * 3 * z)
140 z^2 * sqrt(6z)