Question 822817
Assuming 365 days a year, we can say


8 yrs + 145 days = 8+145/365 = 8.39726 yrs (roughly)


{{{A = Pe^(rt)}}}


{{{225500 = Pe^(0.0875*8.39726)}}}


{{{225500 = Pe^(0.73476025)}}}


{{{225500 = P*2.08498}}}


{{{225500/2.08498 = P}}}


{{{108154.51467 = P}}}


{{{P = 108154.51467}}}


{{{P = 108154.51}}}


So you need to invest <font color="red">$108,154.51</font> to Achieve $225,500 at 8.75% compounded continuously for 8 years, 145 days.