Cody leased a car for $$10300$ by making month$-$end payments of $$180.$ At the end of his lease, he paid an additional single lump sum payment of $$1000$ to purcahse the car.

The rate of interest on his loan was $7\%$ compounded semiannually. How long was the term of his lease?

a$.$ Start by drawing a timeline for this annuity. Include dates, regular payments, the value of the car on purchase date, and the lump sum payment at the end of the lease. Determine a focal date.

b$.$ Use formulas by hand or the TV$^$ functions on your calculator to determine the value of $n$ to two decimal places.

$n=$

c$.$ This corresponds to $$ full payments and partial payment.

d$.$ The term of the lease is $$ years and months.