the solution of question 14 and question 15

14. (5 points) The world population in 2000 was approximately 6.143 billion. Assume that the population grows at the rate of approximately 1.31% per year. Suppose t = 0 corresponds to 2000. (a) Find a formula for the world population after t years. (b) Estimate the population in 2021. How about 2040? (c) Find the rate of change in 2025. (d) If the population continues to grow at the rate of approximately 1.31% per year, find the time required for the world population to double in size. 4 THE UNIVERSITY OF BRITISH COLUMBIA OKANAGAN MATH 116: Manish K. Lal 15. (3 points) Suppose you invest $25500 in an account paying interest compounded continuously. Also suppose that after 1 year your amount on deposit is $27076.83. Let A = A(t) be the amount on deposit after t years. (a) Find an expression for A(t). (b) Find the compound amount after 5 years. (c) What is the rate of growth of A after 5 years