Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in 
, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by
We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Let the number be x
3x - 5 = 14
3x = 19
X = 6 1/3 or 6.333333...
Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
Answer:
<h2>
$31,745</h2>
Step-by-step explanation:
Compound continuously:
FVn = PV x e^rn
where
PV = $20,000
r = 3.85%
n = 12 years
plugin values into the formula:
FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾
FV₁₂ = $31,745
7 + 3.(2 - 3x) = 67
3 brackets are distributed
7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9
