$($a$)$ Patty Stacey deposits $$2600$ at the end of each of $5$ years in an IRA. If she leaves the money that has accumulated in the IRA account for $25$ additional years, how much is in her account at the end of the $30-$year period? Assume an interest rate of $7\%,$ compounded anniully. $($Round your answer to the nearest cent.$)$

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$($b$)$ Suppose that Patty's husband delays starting an IRA for the first $10$ years he works but then makes $$2600$ deposits at the end of each of the next $15$ years. If the interest rate is $7\%,$ compounded annually, and if he leaves the money in his account for $5$ additional years, how much will be in his account at the end of the $30-$year period? $($Round your answer to the nearest cent.$)$

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$($c$)$ Does Patty or her husband have more IRA money?

$$ Patty

Patty's husband