You are still considering the car from Problem $1($$$10,000$ price, $$8,000$

loan$)$ but the dealer also offers you an alternative amortized installment loan

for the same $$8,000$ amount, but with equal monthly payments of $$140$ over

$7$ years starting next month.

a$.$ What is the present value of the promised payments on the loan

discounted at the quoted interest rate $($expressed as a dollar amount

with two decimal places$)?$

b$.$ What is the total number of payments you will make repaying the loan

$($expressed as a whole number$)?$

c$.$ What is the monthly compound periodic interest rate the dealer is

quoting you with this payment plan $($expressed as a percentage with $3$

decimal places$)?$

d$.$ What is the APR with monthly compounding the dealer would quote

to you on this loan $($expressed as a percentage with $2$ decimal places$)?$