$4.$Lup$$ made a down payment of $$8000$ toward the purchase of a new car. To pay the balance of the purchase price, she has secured a loan from her bank at the rate of $9\%/$year compounded monthly. Under the terms of her finance agreement she is required to make payments of $$440/$month for $36$ months. What is the cash price of the car? $($Round your answer to the nearest cent.$)$$ $5.$Find the periodic payment R required to amortize a loan of P dollars over t years with interest charged at the rate of r$\%/$year compounded m times a year. $($Round your answer to the nearest cent.$)$P $=50,000,$ r $=5\mathrm{.}5,$ t $=14,$ m $=2$$ $6.$What monthly payment is required to amortize a loan of $$50,000$ over $10$ years if interest at the rate of $7\%/$year is charged on the unpaid balance and interest calculations are made at the end of each month? $($Round your answer to the nearest cent.$)7.$how much should be invested each year for $10$ years to provide you with $4,000$ per year for the next $15$ years. Assume a $4\mathrm{.}1\%$ interest rate. Round answer to two decimal places. Just need these $4$ questions fo not need work shown! Thanks