P = principal amount (initial investment)

r = 0.0885 annual interest rate (as a decimal)

t = 8 years 125 days = 8 125/365 =5 25/73 = 390/73 number of years

A = $225,500 amount after time t

A = P* e^(rt)

P = A/(e^(rt))

P = 225500/(2.718282^(0.0885*(390/73))

e = 2.718282

P = $140,542.78

click here to see the step by step solution of the equation:

you need to invest $140,542.78 to achieve $225,500.