And for part b for the bank question the formula is
The G.P Sqnce is : P + P(1+r%) + P(1+r%)^2 ...P(1+r%)^n-1
Thats the sqnce for n years ...
We know that the sum for any G.P is a1((1-(r)^n)/1-r) Where r is the common ratio or w.e
so it becomes 400((1-(1+r%)^12)/1-(1+r%))
Giving you 9364.563977
For the triangle question
Part a was explained correctly .. you do the slope product = -1
For part b
You use distance fromula to find distance between BM and MC .. Given that M is the midpt so you use midpt formula which is A
x+C
x /2 same for y .. Gives you that point M is 4.5,5
So the distance between B and M is Radical 65 / 2 .. radical for 65 only
you show you get the same answer for applying it for between BM and MC ..
And now part C ..
They want the circle that passes through all of them .. It makes sense that M should be the center cause BM = MC = AM .. (remember M is the midpt of AC and you just proved BM = MC )
So the formula of the circle becomes : (x-4.5)
2+(y-5)
2= Part b answer ^2 ( equal to 65/4)
Simply done