$1)$ An Annuity of $$1200$ paid every quarter for $10$ years has a current$/$present value of $$32826\mathrm{.}58.$ What is the interest rate?

$2)$ Consider a lump sum of $$1500000$ paid into an account that generates a $7$ year annuity with quarterly payments. With interest rate of $9\%$ how much will the PMT be$?$

$3)$ Find the FV of a annuity due with a payment of $$30$ every year for $4$ years, Interest rate is $9\%.$