Finance topic. Answer in $4$ decimals :

$1.$ 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?

$2.$ Sara plans to have $100,000$ 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 $$value of $100,000,$ assume she has $$10,000$ dollars in the account saved as of today?

$3.$ Mario plans to have $1,000,000$ at the end of $25$ years by investing an unknown amount annually in a retirement account that earns $6\mathrm{.}48\%$ interest compounded annually. What amount does Mario need to invest each year to achieve the desired $$value of $1,000,000,$ assume he has zero dollars saved as of today?

$4.$ If Amelia currently has $25,000$ in her IRA and invests $$25,000$ each year for the next $15$ years in a retirement account with an annual interest rate of $2\mathrm{.}95\%$ compounded annually, what would be the value of her investments after the $15-$year period?

$5.$ Mario plans to have $1,000,000$ at the end of $45$ years by investing an unknown amount annually in a retirement account that earns $8\mathrm{.}48\%$ interest compounded annually. What amount does John need to invest each year to achieve the desired $$value of $1,000,000,$ assume he has zero dollars saved as of today?