Complete this assignment after you have finished Unit 4, and submit your work to your tutor for grading. Be certain to keep a copy of your work. This exercise is worth 8 per cent of your final grade....

Assignment2 Complete this assignment after you have ?nished Unit 4, and submit your work to your tutor for grading. Be certain to keep a copy of your work. This exercise is worth 8 per cent of your ?nal grade. Remember: To obtain full credit, you must show all your work, and properly justify all your answers. Totalpoints: 48 8pts 1. A student knows that she will need $3,500.00 ?ve years from now. She must decide between Bank A, which offers 7% compounded weekly, and Bank B, which offers 6% compounded continuously. Which bank should she use? Explain your answer. 6pts 2. What is the APY for money invested at a. 18.75% compounded daily? Use a 365-day year. b. 15.25% compounded continuously? Note: This is Problem 50 on page 149 of the textbook. 4pts 3. If you wish to double your investment in 8 years, what continuous compound interest rate must you obtain for your investment? 6pts 4. Complete exercise 40 on page 170 of the textbook. 12pts 5. Find all possible matrix products of two different matrices among the three matrices below. 2 3 2 3 2 3 2 4 3 6 7 1 3 4 3 2 6 7 4 5 4 5 A = B = C = 61 4 27 4 5 0 2 5 1 6 2 4 3 FiniteMathematics 16pts 6. Consider matricesA andB, below. 2 3 2 3 1 6 4 1 2 3 6 7 6 7 6 7 6 7 A =6 7 B =6 7 2 4 1 2 5 3 4 5 4 5 1 2 5 1 0 8 a. Show that matrixA is not invertible. b. Find the inverse of matrixB. 6pts 7. Give the matrix equation associated with the system of equations below, and solve it by using the corresponding inverse matrix. 2x +3x =2 1 2 x +2x +3x = 0 1 2 3 x 5x = 1 2 3 2 Mathematics 209 /Assignment2