B = 100(1 + 0.04)^12 = 100(1.04)^12 = 100(1.601) = $160.10
46/69 * 100
0.66666*100
which is 66percent
Answer:
128.86 cm^2
Step-by-step explanation:
So to start off we need to find the area of the rectangle.
The formula for the area of a rectangle is 
×
.
L stands for the length which is 12 and w is the width which is 11.
So 11 × 12 = 132 cm^2.
Now time for the area of a circle.
The formula for that is 
.
So first we need to do 1 × 1 which is 1.
Then 1 × 
which is just .
Then we do 132 - which is an irrational number.
It looks like this shortened 128.858407346.
Now rounding to the nearest hundreth it would be 128.86 cm^2.
Hence, the area of the shaded region is 128.86 cm^2.
2a^2b^3(4a^2+3ab^2-ab)=?
<span>
is what I presume you actually meant. </span>
<span>
Pull out the common factors of (4a^2+3ab^2-ab) and you will get </span>
<span>
a(4a+3b^2 -b) </span>
Substitute this back into the original equation and you get
<span>
2a^2b^3[a(4a+3b^2-b)] = </span>
2a^3b^3(4a+3b^2-b) =
<span>2a^3b^3(4a-b+3b^2)
</span>
Answer:
z= 13
x= 36
y= 18
Step-by-step explanation:
Solving for z.
We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.
We can set both of those angles equal to each other, and solve for our missing side, z.
108= 8z+4
104=8z
z= 13
Solving for x.
We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.
We can set both of these angles equal to each other, and solve for our missing side, x.
3x=108
x= 36
Solve for y.
We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.
4y+108=180
4y= 72
y= 18
