Please help to solve part (c)

Detailed steps are required.

Thanks!

A principal P is invested at 1% interest for 1 year. 1" a) Find the formula of the future value in terms of P and u, where u = 100, if the interest is compounded: i. semi-annually ii. monthly iii. weekly In each of the three cases, you need to state the equivalent annual rate and the rate for each compound period in terms of u. b) Use the results in part a) to derive the formula when the interest is compounded continuously. You need to explain, in your own words, the method used. Mr Cook has 13 500 to invest. He is considering two possible investments:- Investment A: at (N + 2)% interest compounded annually for N years; Investment B: at (N + 1)% interest compounded continuously. In both investments, N is the same natural number. 0) Investigate and explain which investment you would recommend depending on the number of years, N. Note: For part a) i. for example you need to state the rate in the rst 6 months and the rate in the last 6 months in terms of u. For part b) you need to research the following limit a x lim (1 + ) , where a is a non zero real number x>+oo x For part c) you may want to use Excel to support you with the calculations, but you need to state all the formulae used