25x - 0.25 = 150
25x = 149.75
x = 5.99
Each pair costs $5.99.
a) The finance charge totals $1,100. b) The APR stands at 9.75%. The amount needing to be financed comes to 11,000 - 4,000 = $7,000, while the total repayment equals 225 x 36 = $8,100. Thus, the finance charge is derived from the total repayment minus the financed amount, yielding $1,100. For part b), we apply the present value formula for annuities to determine the monthly interest rate i: Amount needing financing = (monthly installment x i) / [1 - (1+i)^-36], equating to 7,000 = (225/i) x [1 - (1+i)^-36], giving us i = 0.811%, which translates to APR = 12 x i = 9.732%.
