Consider the two savings plans below. Compare the balances in each plan after $13$ years. Which person deposited more money in the$$ plan? Which of the two investment strategies is$$ better?

Yolanda deposits $$$$400$ per month in an account with an APR of $6\%,$ while Zach deposits $ $5000$ at the end of each year in an account with an APR of $6\mathrm{.}5\%.$

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Part $1$

The balance in Yolanda$\text{'}$s saving plan after $13$ years was : enter your response here.

$($Round the final answer to the nearest cent as needed. Round all intermediate values to seven decimal places as$$ needed.$)$ Then find the same for Zach