Juan wants to deposit $700 into savings accounts at three different banks: Bank of Chance, Merchant Bank, and Utopian Financing. He will deposit four times as much into Merchant Bank as Bank of Chance because they offer a higher interest rate. He also expects the Utopian Financing deposit to be only 25% of the total of the other two deposits. How much will Juan deposit into the Utopian Financing savings account? a $112 b $140 c $175 d $448

8.3 and the 3 is repeating

hope this .

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough