NB: ANSWER Q4 first then go on to the others by explaining with block diagrams with detailed explanation.

a Q4. Suppose the repayment loan from a bank is described or modelled as a discrete time system as y[n] = (1+R/12)Y[n-1) - x[n], where the output yn] is the balance payment of the loan, input x[n] is the amount of loan payment in the n-th month, R is the annual interest rate, and n is the monthly time index. The initial condition y[O] is the amount of loan that was contracted. Assume that x[n] = C, which is equal amount of monthly payment. (a) Find how much you will have outstanding after the first three months. Assume a loan amount of GHc6,000 was contracted at a monthly payment of GHc200 and interest rate of 12%. (b) Find how long it will take to pay the loan. Write a Matlab script to implement this. Using the concept of signals and systems, describe using functional block diagrams how a radio panel discussion at the broadcasting studio of Radio Ashesi is conveyed from the studio to listeners and how the receivers are able to extract the information. Using the concept of signals and systems, and feedback system, describe using functional block diagrams how a gas stove can be modelled for automated operation. a Q4. Suppose the repayment loan from a bank is described or modelled as a discrete time system as y[n] = (1+R/12)Y[n-1) - x[n], where the output yn] is the balance payment of the loan, input x[n] is the amount of loan payment in the n-th month, R is the annual interest rate, and n is the monthly time index. The initial condition y[O] is the amount of loan that was contracted. Assume that x[n] = C, which is equal amount of monthly payment. (a) Find how much you will have outstanding after the first three months. Assume a loan amount of GHc6,000 was contracted at a monthly payment of GHc200 and interest rate of 12%. (b) Find how long it will take to pay the loan. Write a Matlab script to implement this. Using the concept of signals and systems, describe using functional block diagrams how a radio panel discussion at the broadcasting studio of Radio Ashesi is conveyed from the studio to listeners and how the receivers are able to extract the information. Using the concept of signals and systems, and feedback system, describe using functional block diagrams how a gas stove can be modelled for automated operation