pimd-like math problem

Lol. Yours is good 

I made real formulas for pimd if you want to see them 

Want to see how to calculate how many hires it takes to get a player from their current hire value to any specified final hire value?

Ex: how many hires does it take to get a tutor from 300m hire value to 650m hire value?

I made a formula for this with natural log  and I also made a formula for calculating the amount of cash a tutor gets when vollied to any amount, it required two summation notations as well as natural log.
 
I think I could do both of those fairly easily without all of the fancy schmancy calculus. I'll do it real quick.
 
To calculate how many hires it takes to get from someone's initial hire value to final hire value I think u could figure out the formula. But figuring out the tutors total cash when he is hired N times is hard. Remember he makes .4% of his hire value in cash each time hired but it caps out at 1m.
 
Oh god. What have I gotten myself into? This one is going to be tougher than I thought. Hopefully I get another magical spurt of understanding again.
 
I'll let the professional handle this one. I cam get close to solving it but I can't quite get how the N's work with the equation.
 
Here is the first question
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Starting with the end (650m) you could work backwards very easily buy multiplying it by .95 until you get what you start at. You could start at 300m and multiply by 1.05 until you get to 650m. I can't put that in equation form, however.
 
Have you posted it here before? I could say with near certainty that I've seen that somewhere. Either way, good job, genius.
 
Yeah, I remember that now. I wish I could speak math like that. I've never seen some of those symbols.
 
The summation notation one was a pain to come up with and I don't even have a calculator that I could use to plug it into since my most expensive calculator probably costed $2 lol

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