1. You begin making weekly deposits to a savings account in the following manner: - You deposit P dollars at the end of the first week and R dollars at the end of the second week. - The pattern continues for a year. (So you deposit P in the third week, R in the fourth week, and so on, until the last week of the year.) If the account earns interest at an APR of r compounded weekly, compute how much is in the account after one year. (Give a closed form expression for your answer in terms of P,R, and r. Your answer should not involve summations.) 2. Your friend Chris took MAT331 in the summer, and tells you that they got a 72 in the course. Chris, showing off their knack for linear algebra, then gives you the following information about their performance in the course: - The grade components of the course are: 10% assignments, 20% term test 1,30% term test 2 , and 40% final exam. - Chris scored twice as high on term test 2 than on term test 1 . - The average of both of Chris's term tests and Chris's final exam is 68. - Chris got a perfect score in all of his assignments. Formulate a linear system whose solution will give you Chris's grade in each of these assessments, and write the corresponding augmented matrix. (You do not have to solve the system.)