Catherine Dohanyos plans to retire in $20$ years. She will make $20$ years of monthly contributions to her retirement account. One month after her last$$ contribution, she will begin the first of $10$ years of withdrawals. She wants to withdraw $$$$2400$ per month. How large must her monthly contributions be in order to accomplish her goal if the account earns interest of $7\mathrm{.}3\%$ compounded monthly for the duration of her contributions and the $120$ months of$$ withdrawals?

Question content area bottom

Part $1$

The amount of her monthly contributions must be $$$enter your response here.

$($Round to the nearest cent as$$ needed.$)$