Posted by Gina on Saturday, December 18, 2010 at 1:07pm.
r = interest percent/100
dy/dt = r y
y = a e^kt
dy/dt = ak e^kt = r a e^kt
r = k
so
y = a e^rt
note when t = 0, y = a the original deposit
18500 = a e^(.07*10)
ln (18500/a) = .7
ln 18500 - ln a = .7
9.83 - .7 = ln a
ln a = 9.1255
a = 9186.83
check y = 9187 e^(.7)
y = 18500 check
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