If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.

First, we determine the effective interest rate of the given compound interest.

ieff = (1 + r/n) ^n - 1

where r is the given original rate and n is the number of compounding. In a year, there are approximately 52 weeks.

ieff = (1 + 0.07/52) ^52 - 1

ieff = 0.07246 = 7.246%

Then, we calculate for the future worth of money after five years using the effective interest annually.

F = P (1 + r) ^n

Substituting,

F = ($9250) * (1 + 0.07246) ^5

= $13,123.29

Thus, the value of the investment after 5 years is approximately equal to $13,123.29.