Use BA II Plus calculator to get the answer with $4$ decimals. Show the way how to calculate with BA II plus calculator.

$1.$ Emily plans to have $1,000,000$ at the end of $55$ years by investing an unknown amount annually in a retirement account that earns $8\mathrm{.}48\%$ interest compounded annually. What amount does Emily need to invest each year to achieve the desired $$value of $1,000,000,$ assume she has $$1000$ dollars in the account saved as of today?

$2.$ Assuming John contributes $$5,000$ each year for $30$ years to a retirement account that earns $6\mathrm{.}23\%$ interest compounded annually, calculate the value of his investments at the end of the $30-$year period.

$3.$ Seth plans to have $1,000,000$ at the end of $25$ years by investing an $$in a retirement account that earns $10\mathrm{.}52\%$ interest compounded annually. $$Determine the lump sump of cash he would need to invest today to achieve his goal.

$4.$ Seth plans to have $1,000,000$ at the end of $20$ years by investing an $$in a retirement account that earns $6\%$ interest compounded annually. $$Determine the lump sump of cash he would need to invest today to achieve his goal.

$5.$ If Juan invests $$5,000$ each year for the next $20$ years in a retirement account with an annual interest rate of $6\%$ compounded annually, what would be the value of his investments after the $20-$year period?

$6.$ Trevor would like to have saved $50,000$ for a down payment of home in $5$ years, His saving account is currently paying $1\mathrm{.}05\%$ per year. How much does he need deposit today to achieve his goal.$$

$7.$ Colton Henderson has $$8,000$ saved and expects to earn $1\%$ annually from a low$-$risk investment. Calculating the future value, how much will his portfolio be worth in $8$ years?

$8.$ Kyle would like to have saved $45,000$ for a down payment of boat in $10$ years, His saving account is currently paying $4\mathrm{.}05\%$ per year. How much does he need deposit today to achieve his goal.

$9.$ Sara plans to have $1,000,000$ at the end of $5$ years by investing an unknown amount annually in a retirement account that earns $8\mathrm{.}48\%$ interest compounded annually. What amount does Sara need to invest each year to achieve the desired $$value of $1,000,000,$ assume she has $$100,000$ dollars in the account saved as of today?

$10.$ Colton Henderson has $$8,000$ saved and expects to earn $3\%$ annually from a low$-$risk investment. Calculating the future value, how much will his portfolio be worth in $10$ years?