[x = amount earning 6% annually.]
(8000-x) = amount earning 15% annually
Then we set up our equation which is a sum of the 15% return and the 6% return and we let that sum equal our desired return on investment ($930). Then solve for x.
(8000-x)*.15 + x*.06 = 930
1200 - .15x + .06x = 930
.09x = 270
x = 3000.
Therefore, you should invest $3000 at 6% and $5000 at 15% to earn $930 annually.
First, you should calculate the square footage of the fence.6ft∗300ft=1800ft2 Then to find the number of gallons of paint needed, divide the area of the fence by the area covered with each gallon of paint: 1800ft2÷400ft2=4.5 So, 4.5 gallons of paint, or rounding up, 5.
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
[6, -infinity)
have a good night
Answer:
Step-by-step explanation:
perp. 4/3
y - 4 = 4/3(x - 3)
y - 4 = 4/3x - 4
y = 4/3x
