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Required information

$[$The following information applies to the questions displayed below.$]$

John is trying to decide whether to contribute to a Roth IRA or a traditional IRA. He plans on making a $$5,000$ contribution to whichever plan he decides to fund. He currently pays tax at a $32$ percent marginal income tax rate, but he believes that his marginal tax rate in the future will be $28$ percent. He intends to leave the money in the Roth IRA or traditional IRA for $30$ years, and he expects to earn a $6$ percent before$-$tax rate of return on the account.

Note: Do not round intermediate calculations. Round your final answers to nearest whole dollar amount.

b$.$ How much will John accumulate after taxes if he contributes to a traditional IRA $($consider only the funds contributed to the traditional IRA$)?$

After tax accumulation