4) (25 pts) Consider the annuity problem below. The equation related to the problem is: Pin[(1+r)-−1]=P [1-(1+r) -(1+r)] Let Pin = $1000, Pout = $(N1+2)*1000, N = (N1+1)*7 years, and Nou (N1+1)*3 years. Find the yearly interest rate / up to 4 digit accuracy using Secant method with r = 0.025 and r = 0.03 as initial guesses. If NI = 0 take it to be 1. +