Pretend that you are saving up for a down payment on a car or house. Pretend that we get an inheritance of

$$8,000$ so we put the inheritance in a special bank account that pays $8\%$ APR compounded quarterly for eight$-$

years. We also decide to save $$800$ a quarter into this savings account to help grow our down payment.

a$.$ How much money do we have in our savings account at the end of all these years?

b$.$ Same situation as above but after exactly four years of saving $$800$ a quarter we decide to decrease our

regular deposits to $$500$ a quarter. How much money do we have in our savings account now at the end

of all these years?