Ellipse area = PI * a * b
ellipse area = 3.14 * 8 * 7
ellipse area = 175.84
Answer: (0, 0)
Step-by-step explanation:
We have the linear system:
y = r*x
y = s*x
We want to find the point where the lines intersect,
We know that
r*x = y = s*x
r*x = s*x
if r and s are different numbers (if r = s, this means that the two lines are the same line)
Then we have that the equality is only true when x = 0.
this means that the value of y is.
y = s*0 = r*0 = 0
So the point (x, y) where the lines intersect is (0, 0)
Answer:
the slope is 
Step-by-step explanation:
slope formula for linear equations:
so for the two points

Answer:
Initial amount P = $12000
Interest after 2 years I = 4%*2 = 8%
<u>Investment into Trust fund:</u>
- $12000 + $5000 + 0.08*$12000 = $17960
<u>Interest amount to exceed $20000:</u>
<u>Time required to get $2040:</u>
- 17960*0.045x = 2040
- 808.2x = 2040
- x = 2040/808.2
- x = 2.52 years
The investment will exceed $20000 in the second half of the third year
Answer:
4.2m/s
Step-by-step explanation: