3. [6 marks] Suppose that you invest $4000 in an account paying 3.5% compounded annually (once per year). (a) How long will it take for your investment to at least double? (Note that interest is only paid out at the end of every year.) (b) Assuming the investment is still compounded annually, what interest rate is required in order for you to have $10,000 after 15 years? State your answer as a percent to 2 decimal places.4. [5 marks] The following equation can be used to model Canada's population (in millions) where t = 0 represents the year 1900. 53 The Malthusian Law of Population Growth: M(() = 91/500 10 (a) What do you think an appropriate domain and range for the function should be? State your answers in interval notation and provide justification. (b) Calculate M(t) when t = 0 and interpret the answer in the context of the question. (c) According to the Statistics Canada, Canada's population was 36,991,981 in 2021. Calculate the value that the Malthusian growth model predicts and state whether it is an overestimation, underestimation or exactly the same