Question $3$

Robert signs a $14-$year contract with a team that pays him $$1\mathrm{.}5$ million right away, followed by:

$$ $$3$ million at the end of year $1,2,3$

$$ $$5$ million at the end of years $4$ and $5$

$$ Nothing at the end of year $6$ and $7$

$$ $$10$ million at the end of years $8$ thru $12$

$$ $$14$ million at the end of years $13$ and $14.$

Robert never uses that money and deposits all of it into a savings account that pays $7\%$ interest.

a$)$ What is the account balance at the end of $10$ years?

b$)$ What is the account balance at the end of $14$ years?

c$)$ If Robert leaves the money in the count $($no new deposits$)$ for $6$ more years, what is the balance in the account at the end of $20$ years?