SA = 2*pi*r^2 + 2*pi*r*h
SA = 2 * pi * 30^2 + 2 * pi * 30 * 19
SA = 2940 pi ft^2
Answer:
$8.8
Step-by-step explanation:
Let the original price of shares be ![x](https://tex.z-dn.net/?f=x)
Profit earned = $1.320
percentage profit = 15%
∴ ![\frac{15x}{100} = 1.320\\15x = 132.0\\x = \frac{132}{15} \\x = 8.8](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7B100%7D%20%3D%201.320%5C%5C15x%20%3D%20132.0%5C%5Cx%20%3D%20%5Cfrac%7B132%7D%7B15%7D%20%5C%5Cx%20%3D%208.8)
Original price of shares were = $8.8
I just need points honestly sorry have a good one thank you
![5x-2y+z=-1 \\ 2x+y+2z=6 \\ x-3y-z=-5](https://tex.z-dn.net/?f=5x-2y%2Bz%3D-1%20%5C%5C%202x%2By%2B2z%3D6%20%5C%5C%20x-3y-z%3D-5)
firat we need to get two equation with two varibles let us work on x,y
so adding the first and last one will yield
![5x-2y+z=-1 \\ x-3y-z=-5 \\ -------- \\ 6x-5y=-6](https://tex.z-dn.net/?f=5x-2y%2Bz%3D-1%20%5C%5C%20x-3y-z%3D-5%20%5C%5C%20--------%20%5C%5C%206x-5y%3D-6)
now we since we used the first and third we need to use the second to get a correct system.let us multiply the third by 2 then add the second and third
![x-2y-z=-5 \\ multiply2 \\ 2x-4y-2z=-10 \\ 2x+y+2z=6 \\ -------- \\ 4x-3y=-4](https://tex.z-dn.net/?f=x-2y-z%3D-5%20%5C%5C%20multiply2%20%5C%5C%202x-4y-2z%3D-10%20%5C%5C%202x%2By%2B2z%3D6%20%5C%5C%20--------%20%5C%5C%204x-3y%3D-4)
now we have two equation with the variables x and y
![6x-5y=-6 \\ 4x-3y=-4](https://tex.z-dn.net/?f=6x-5y%3D-6%20%5C%5C%204x-3y%3D-4)
you can solve it algebraically but you can see that the only solution possible is y=0 and x=-1 we have the values for x and y let us choose one of the three main equation and substitute to get z let us pick the first equation 5x-2y+z=-1-->5(-1)-2(0)+z=-1---->-5+z=-1-------->z=4
to make sure the system works let us check by substituting into the three equations
the first one will be 5x-2y+z=-1--->5(-1)-2(0)+4=-1---->-5+4=-1--->-1=-1 first equation holds
the second equation 3x+y+2z=6---->2(-1)+0+2(4)=6--->-2+8=-6--->-6=-6 second equation holds
the third equation x-3y-z=-5----->-1-3(0)-4=-5---->-1-4=-5--->-5=-5
our third equation also holds which makes our solution correct
x=-1,y=0,z=4
Answer:
hi! your answer should be D
Step-by-step explanation:
I plugged the equation into a calculator and got D.