2 ABC university tuition fees can be paid by on-time payment (pay total amount due when classes start at the cost of 90,000 pesos per year) or early-bird payment (pay total amount due 1 year in advance with a 10% discount. What is the amount of the savings compared to the on-time payment at the time that the on-time payment is made?

Suppose that under the Plan of Repayment one should pay off the debt in a number of equal end-of-month installments (principal and interest). This is the customary way to pay off loans on automobiles, house mortgages, etc. A friend of yours has financed $15,000 on the purchase of a new automobile, and the annual interest rate is 6% (0.5% per month). a. Monthly payments over a 36-month loan period will be how much? b. How much interest and principal will be paid within three month of this loan?

Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies the differential equation y' = 0.05y - 12,500. (a)Suppose that after one year the balance is $230,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y' = k(y - M). (c)Describe the differential equation in words. %3D %3D (a) The balance is decreasing at a rate of $ - 1000 per year. (b) y' = .05(y - 230000) (c) Choose the correct answer below. A. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always increasing. B. The rate of change of the savings account balance is proportional to the difference between the balance at the end of t years and $250,000. C. The rate of change of the savings account balance is proportional to the balance at the end of t years and is always decreasing. D. The differential equation gives the…

Topic: Annuities Due Formulas: Future value- F=C [(1+i)^n -1/i] (1+i) Present value- P=C [1-(1+i)^-n/i] (1+i) P.S - Use manual solving thank you!!