$($Annuity payments$)$ Emily Morrison purchased a new house for $$140000.$ She paid $$60000$ upfront and agreed to pay the rest over the next $10$ years in $10$ equal annual payments that include

principal payments plus $14$ percent compound interest on the unpaid balance. What will these equal payments be$?$

a$.$ Emily Morrison purchased a new house for $$140,000$ and paid $$60,000$ upfront. How much does she need to borrow to purchase the house

$($Round to the nearest dollar.$)$

b$.$ If Emily agrees to pay the loan over the next $10$ years in $10$ equal end$-$of$-$year payments plus $14$ percent compound interest on the unpaid balance, what will these equal payments be$?($Round to the nearest cent.$)$