Use the attached figure to guide yourself through the explanation. In the figure:

.
We know that:

Also remmeber that the area of a triangle is:

The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:

Now taking the derivative of the area 2A with respect to t we have:

Replacing with the right values:

yields:
Yes, 104.12 is greater than 104.002
because 104.12 rounds up to 104.1
and 104.002 rounds up to 104.0
The rule of the payout annuity is

P is the initial amount
d is regular withdrawals
r is the annual rate in decimal
n is the number of periods in a year
t is the time
Since you have $500 000 saved, then
P = 500000
Since the interest is 8%, then
r = 8/100 = 0.08
Since the time is 15 years, then
t = 15
Since you want the monthly amount, then
n = 12
Substitute them in the rule to find d

Then you will be able to pull $4778.260422 each month
Answer: you didnt post graphs to look at
Step-by-step explanation: