You have 200 dollars to split between Bank Account A (A) and Bank Account B (B) (doesn't have to be split, can be 200 and 0 as well). Both A and B earn interest daily at a rate of 1% with 100% of the earnings reinvested. However, 30% of the interest earned by B is given to A. This is 30% is not taken from B's earnings, ie. if B earns one dollar in a day, A will receive an extra 30c (30% of 1 Dollar) while B still earns 1%.
How much should you allocate to each account to end up with the most amount of money at the end of a 30 day period?
I have no idea how to approach this question, my only idea is to use guess and check, so any help is appreciated!
