Four years ago, you opened a saving account and immediately deposited $$3,000.$ Two years later, you added $$8,000$ to your savings. One year ago, you withdrew $$1500$ to purchase an iPhone $14.$ At that time, your bank adjusted the annual compounding interest rate from $5\mathrm{.}5\%$ to $4\mathrm{.}5\%.$ What is the current balance in your account?

a$.$

$$10,462\mathrm{.}32$

b$.$

$$12,354\mathrm{.}56$

c$.$

$$10,933\mathrm{.}55$

d$.$

$$11,038\mathrm{.}17$