What is the common interest of $628 5% and 4 months?
1 answer:
You might be interested in
Answer:
:)
Step-by-step explanation:
For simplicity I will substitue for β.
In the first step I used the identity
And I factored out
Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.
That's it!
We know that:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
:
And the equation of the circle is:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
And the equation of the circle is: