Emily Wang financed her office furniture m a furniture dealer. The dealer's terms allowed r to defer payments (including interest) for six months and to make 36 equal end-of-month pay-~nts thereafter. The original note was for $15,000, with interest at 9% compounded monthly. After 26 monthly payments, Emily found herself in a financial bind and went to a loan company for assistance. The loan company offered to pay her debts in one lump sum if she would pay the company $186 per month for the next 30 months.
(a) Determine the original monthly payment made to the furniture store.
(b) Determine the lump-sum payoff amount the loan company will make.
(c) What monthly rate of interest is the loan company charging on this loan?