, where is the number of individual deposits, is the reserve rate and is the initially deposited value.
set term svg size 800, 480 font "DejaVu Sans,16"
set output "fractional-reserve-banking___base100___0.8reserve_rate.svg"
set samples 10000
set title "The Expanson of $100 Through Fractional-Resverve\nLending with a 20 % Reserve Rate"
set xlabel "Individual Deposits"
set ylabel "Total Amount of Deposited Money"
set style line 1 lc rgb '#006600' lt 1 lw 2 # --- green
set style line 11 lc rgb '#808080' lt 1
set border 3 back ls 11
set tics nomirror
set style line 12 lc rgb '#808080' lt 0 lw 1
set grid back ls 12
set style fill transparent solid 0.8 noborder
set nokey
set xtics ("A" 0, "B" 1, "C" 2, "D" 3, "E" 4, "F" 5, "G" 6, "H" 7, "I" 8, "J" 9, "K" 10, "L" 11, "M" 12, "N" 13, "O" 14, "P" 15, "Q" 16, "R" 17, "S" 18, "T" 19, "U" 20, "V" 21, "W" 22, "X" 23, "Y" 24, "Z" 25)
set ytics ("$0" 0, "$100" 100, "$200" 200, "$300" 300, "$400" 400, "$500" 500)
g=100 # base value
r=0.8 # reserve rate
plot [0:25] [0:500] g*(r**(x+1)-1)/(r-1) ls 1 w filledcurves x1
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