To solve this question, we can just use the Payout Annuity Formula. This formula is given by
[tex]P_0=\frac{d(1-(1+\frac{r}{k})^{-Nk}_{})}{(\frac{r}{k})}[/tex]
Where P is the balance in the account at the beginning (starting amount, or principal).
d is the regular withdrawal (the amount you take out each year, each month, etc.)
r is the annual interest rate (in decimal form.)
k is the number of compounding periods in one year.
N is the number of years we plan to take withdrawals.
From the text, we have
[tex]\begin{gathered} d=300 \\ r=0.04 \\ k=52 \\ N=17 \end{gathered}[/tex]
k equals to 52 because we have 52 weeks in a year.
Plugging those values in our formula, we have
[tex]P_0=\frac{300(1-(1+\frac{0.04}{52})^{-17\times52})}{(\frac{0.04}{52})}=192367.717778\approx192368[/tex]
We would need an account balance of $192368.
