ha ho. nt issue 262. i'll post the q and a here. then i'll see if i can figure out the maths for your question or if someone else is smrter they can do so.
Quote:
Hi TNT. I was wondering... assuming that you always upgrade your bank account to the highest possible setting to get maximum interest, how many NP would you need in your bank account, at a given interest rate, to raise the interest per day by 1 NP each day - by only collecting interest and not making NP in any other fashion? Say, if I had so and so many NP in my account and an interest rate of something, and I collected my daily interest of, say, 2000 NP or whatever, and the next day the daily interest would be 2001, next day 2002. What is the "lowest" account where this can work, assuming that you always upgrade your account as soon as this is possible, and how much NP would you need in that bank account? Just (really) curious. ~scaladenmark
*blinks* Erm, we decided to pass this question onto the amazing TNT member that does the Lenny Conundrum since he does like, maths and stuffs.
"Since the maximum interest rate is 12.5% per year, in order for the interest rate to go up one Neopoint, you need to earn (1 NP/day)*(365 days/year)/(0.125 per year) = 2920 Neopoints per day. In order to earn this amount, you need to have (2920 NP/day)*(365 days/year)/(0.125 per year) = 8,526,000 Neopoints in the bank.
However, that's less than the minimum 10,000,000 Neopoints required for the Ultimate Riches interest rate. So, the next one down is Neopian Mega-Riches, at 12% per year. Using the same methodology, you’d need [(1 NP/day)*(365 days/year)/(0.120 per year)] * (365 days/year)/(0.120 per year) which works out to 9,251,736 Neopoints!"
Well, there you have it! We'd double check his math, but our brains already exploded just reading the question. Medic!
The rest of us are better suited using these.
EDIT: ug. just reading it a few times hurts my head. i'll think about it later, but a quick (and probably wrong) response i think for 3np a day in interest increase would be 3(8,526,000) or 25,578,000? anyone have any clue if that's even close to good logic? or right?