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you know i had to do it to them
Say you earn $20.50 per hour, this can be written as:
dm/dt = 20.5
The relationship between problems and money would be:
p = ln(m)
Let's look at the rate at which money brings problems. By differentiation:
dp/dm = 1/m
Then by the Chain Rule, the rate at which time brings problems is:
dp/dt = 20.5 x 1/m = 41/(2m)
So, how much money do you need so that you have 0.2 problems per hour?
Well, if dp/dt = 1/5; then we equate 41/(2m) = 1/5. This gives m to be 102.5. Therefore, to have 0.2 problems per hour, you would need $102.50.