Multistage Finance Problem

$39.$ Kimani plans to retire in $30$ years. She will make $360$ equal monthly contributions to her retirement account. One mpnth after her last contribution, she will begin the first of $120$ equal monthly withdrawals from the account. She expects to withdraw $$1600$ per month. How large must her monthly contributions be in order to accompish her goal if her account is assumed to earn interest at the APR of $1\mathrm{.}8\%,$ compounded monthly throughout the life of this problem?

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