Suppose you start saving for retirement when you are $31$ years old. You itivest $$4,500$ the trst year and lincrease this ambuht by $4\%$ each year to match inflation for a total of $30$ years. The interest rate is $10\%$ per year.

How much will you heve in socount immediately affer making the last deposit at age $60.$

A$.$ $$1,065,450$

B$.$ $$61,059$

C$.$ $$1,551,960$

D$.$ $$982,312$

How much will you have, if the interest rate was onily $4\%$ per year $($instead of $10\%)?$

A$.$ $$421,018$

B$.$ $$437959$

C$.$ $$129,808$

D$.$ $$369,764$