Final answer:
The question requests the calculation of two separate payments to settle a $6,000 loan with 9% interest compounded quarterly. The exact computations require formulas and financial calculator functions that are not provided in the reference information; hence, the specific payment values cannot be provided here.
Step-by-step explanation:
The question involves calculating the size of two payments needed to settle a $6,000 loan with 9% interest compounded quarterly after 9 months and 15 years. To find the payments, we must use the formula for the present value of an annuity due to compound interest. Unfortunately, the necessary formulas or details to compute the exact payments for the given question are not provided in the reference information. As such, we cannot provide the specific values for the first and second payments to settle the $6,000 loan.
However, the general approach would include setting up an equation for both payments, taking into account the principal, interest rate, and time frames given. The first equation would represent the present value of the first payment after nine months, and the second equation would represent the present value of the second payment after fifteen years.
The total of these present values would be set equal to $6,000, and the system of equations would solve for the sizes of the two payments. To complete the required calculations, one would typically utilize financial functions within a spreadsheet program or a financial calculator.1