If I improve 1% everyday, how much will I have improved in 365 days and how do I write the equation?
This is basically an interest rate equation. Which is in the form V=I*[1+(rate)]^n Where V is your value after compounding, rate is the interest rate and n is when it is compounded and I is whatever your initial value is.
In your case rate is 1% and it is compounded every day so 365. For I you did not provide an initial value, but you can’t be starting from zero (you can’t improve any percentage of zero).
I’ll write down the equation and you should be able to take it from there given whatever your initial starting value you are at. V=I*[1+(0.01)]^365