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February 1, 2015

February 1, 2015

Posted by **Gina** on Saturday, December 18, 2010 at 1:07pm.

- calculus -
**Damon**, Saturday, December 18, 2010 at 6:50pmr = 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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