Consider a Standard Bank account recently opened by a WITS student with an initial deposit of...

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Consider a Standard Bank account recently opened by a WITS student with an initial deposit of RA. The account receives a quarterly interest equal to r% of the account value. The student initiated a debit order of Rp every four months towards personal savings. 1. Construct a mathematical model for the value of the student's account after n periods. 2. Give an explicit formula for computing the current value of her account after n periods. 3. If the student's initial deposit of R4500 receives quarterly interest equal to 8% of her account value prior to the debit order (R400) deduction. What is the value of the student's bank account after 1 year. Consider a Standard Bank account recently opened by a WITS student with an initial deposit of RA. The account receives a quarterly interest equal to r% of the account value. The student initiated a debit order of Rp every four months towards personal savings. 1. Construct a mathematical model for the value of the student's account after n periods. 2. Give an explicit formula for computing the current value of her account after n periods. 3. If the student's initial deposit of R4500 receives quarterly interest equal to 8% of her account value prior to the debit order (R400) deduction. What is the value of the student's bank account after 1 year.