$1.$ Today you are turning $25.$ You are planning on retiring at age $70.$ To save for your retirement, you plan to make annual contributions to a retirement account. Your first contribution is made today and is equal to $$12,000.$ Your contributions will increase at $6\%$ per year, and you will make your last contribution when you turn $70.$ The interest rate on your retirement account is $3\mathrm{.}5\%.$ How much money will you have in your retirement account on your retirement day, immediately after the last contribution?