Janet Brooks, of Lubbock, Texas, plans to invest $$3,100$ each year in a mutual fund for the next $40$ years to accumulate savings for retirement. Her twin sister, Rebecca, who lives in nearby Amarillo, plans to invest the same amount for the same length of time in the same mutual fund. However, instead of investing with after$-$tax money, Rebecca will invest through an employer$-$sponsored tax$-$sheltered retirement plan. If both mutual fund accounts provide an $8$ percent rate of return, how much more will Rebecca have in her retirement account after $40$ years than Janet? How much will Rebecca have if she also invests the amount saved in income taxes? Assume both women pay federal and state income taxes at a $25$ percent rate. Use Appendix A$-3$ or the Garman$/$Forgue companion website to solve for the answers. Round Future Value of a Series of Equal Amounts in intermediate calculations to four decimal places. Round your answers to the nearest dollar.

Rebecca will have $

more in her account after $40$ years than Janet.

How much will Rebecca have if she also invests the amount saved in income taxes?

Rebecca's account will be worth $

and it will be more than

$-$Select$-($double$,$ triple, quadruple$)$

Janet's account in $40$ years.