Alisha makes an initial $1000 investment into account A and Joe makes an initial investment of $800 into account B, both earning the same nominal discount rate compounded weekly. If the amount of interest earned by Alisha between the end of the 5th year and the 7th year is the same as the interest earned by Joe between the end of the 9th year and the end of the 11th year, then find this nominal discount rate.

Hint: If the nominal discount rates are equal then so are the effective annual interest rates.