of $1$

K

When Joe and Sarah graduate from college, each expects to work a total of $45$ years. Joe begins saving for retirement immediately. He plans to deposit $$675$ at the end of each quarter into an account paying $7\mathrm{.}9\%$ interest, compounded quarterly, for $10$ years. He will then leave his balance in the account, earning the same interest rate, but make no further deposits for $35$ years. Sarah plans to save nothing during the first $10$ years and then begin depositing $$675$ at the end of each quarter in an account paying $7\mathrm{.}9\%$ interest, compounded quarterly for $35$ years. Complete parts $($a$)$ through $($e$)$ below.