One year from now, you will deposit $$2,000$ in a savings account. You deposit $$3,500$ the following year. Then you wait three more years $($until five years from now$)$ and deposit $$4,000.$ If your account always earns $4\%$ annual interest and you make no withdrawals, how much will be in the account $13$ years from now?

$2)$you want to retire in $35$ years, and you want to have an annuity of $$60,000$ a year for $25$ years after retirement. You want to receive the annuity payments on an end$-$of$-$year basis during your retirement period. Using an interest rate of $6\mathrm{.}5\%$ for the savings period and $2\mathrm{.}75\%$ for the retirement period, how much must you save during your $35$ working years, in equal amounts at the end$-$of$-$year basis, in order to have this retirement annuity?

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