PV = P(1 - (1 + r)^-n) / r; where P is the periodic withdrawal = $100,000; r = rate = 5% = 0.05; n = number of periods = 20 years.
PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000
Answer:


Step-by-step explanation:
The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).
The slope of side AB is

The slope of side BC is

The slope of side CD is

The slope of AD is



We see that the opposite sides of the quadrilateral ABCD are equal.
Hence the quadrilateral is a parallelogram
Answer:
y= 3.5x+22.5
Step-by-step explanation:
The standard equation of a line a expressed as y = MX+c
m is the slope
c is the y-intecept
Get the slope
m = y2-y1/x2-x1
m = -9-5/-9+5
m = -14/-4
m = 7/2
Get the y- intercept
Substitute any of the point say (-5,5) and m = 7/2 into the equation y = MX+c
5 = 7/2(-5)+c
5= -35/2+c
5 =-17.5+c
c = 5+17.5
c =22.5
Get the required equation
Recall that y = MX+c
y= 3.5x+22.5
Answer: not proportional
Step-by-step explanation:
The constant is called the coefficient of proportionality if one variable is always the product of the other variable and a constant. And the variables are said to be directly proportional.
In the given table , let the variables are proportional then the constant of proportion(k)=
=1.5
=1.45
⇒ k is not a constant of proportionality.
⇒ the variables x and y are not proportional.