$11.$Your account pays interest at $3$ percent p$.$a$..$ You deposit $ $26,717$ in it today. You must have exactly $ $74,372$ in the account at the end of two years. What should you do at the end of the first year $($that is$,$ what dollar amount must you deposit$)$ to ensure this? $($Record your answer without a dollar sign, without commas and round your answer to $2$ decimal places; that is$,$ record $$3,245\mathrm{.}847$ as $3245\mathrm{.}85).$

$12.$You invest $ $4,081$ in an account today. You make no additional deposits into the account. One year from today there is $ $5,044$ in the account. What is the nominal interest rate that you earned on your money? $($Record your answer as a percent rounded to $1$ decimal place; for example, record $\mathrm{.}527945=52\mathrm{.}8\%$ as $52\mathrm{.}8).$

$13.$ Assume Bill Jones invested $ $1,122\mathrm{.}89$ into an account exactly one year ago. The account has an interest rate of $8\mathrm{.}6\%$ p$.$a$.$ How much does Bill have in his account today $($that is$,$ exactly one year after the initial deposit$)?($Round your answer to the nearest cent and record your answer without a dollar sign and without commas. For example, record $$1,356\mathrm{.}8382$ as $1356\mathrm{.}84).$