Suppose someone wants to accumulate $$$$130,000$ for retirement in $30$ years. The person has two choices. Plan A is a single deposit into an account with annual compounding and an APR of $5\%.$ Plan B is a single deposit into an account with continuous compounding and an APR of $4\mathrm{.}6\%.$ How much does the person need to deposit in each account in order to reach the$$ goal?

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Part $1$

The person must deposit $$$enter your response here into the account for Plan A to reach the goal of $$$$130,000.$

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