A company buys a machine, which it agrees to pay for in five equal annual payments, beginn date of purchase. Immediately after the second payment, the terms of the agreement are ch balance due to be paid off in a single payment the next year.

Purchase price of the machine $$12,000\mathrm{.}00$

interest rate $4\mathrm{.}00\%$

How long it need to pay off the balance? $($interpolation may be needed for this$)$

What is the final single payment?

$1.)$ Draw CFD by yourself

$2.)$ For the original payment plan, the annual payment amounts should be:

$3.)$ After the term changed, there are

$4.)$ The final payment is the

$q,$ payments left unpaid

$5.)$ Calculate the single payment amount due at the end of the $3$rd year: worth of these payments