please do both steps a and b with work legibly shown. thanks so much for your help snd time in advance.

O File /home/chronos/u-b1bda060fa5f6447dbed811d8c6576b7dabd774c/MyFiles/Downloads/Final 20542020.pdf According to financialaid.stanford.edu, a student budget for the 2019-2020 Academic Year comes to $74,570. For 4 years this would be $298,280. A friend of yours borrows the entire amount at 4.5% annual interest. Because she doesn't have to make any payments until she graduates, the loan amount will become $357,106 when she graduates and she'll start making paym "s of $2000 per month (= how much per year?). Let L(t) report the loan balance aftert years (t=0 is when she graduates) (a) Set up an initial value problem that describes this loan. (b) Solve the initial value problem and determine how long will it take to pay off this education I EXTD 504 acer O File /home/chronos/u-b1bda060fa5f6447dbed811d8c6576b7dabd774c/MyFiles/Downloads/Final 20542020.pdf According to financialaid.stanford.edu, a student budget for the 2019-2020 Academic Year comes to $74,570. For 4 years this would be $298,280. A friend of yours borrows the entire amount at 4.5% annual interest. Because she doesn't have to make any payments until she graduates, the loan amount will become $357,106 when she graduates and she'll start making paym "s of $2000 per month (= how much per year?). Let L(t) report the loan balance aftert years (t=0 is when she graduates) (a) Set up an initial value problem that describes this loan. (b) Solve the initial value problem and determine how long will it take to pay off this education I EXTD 504 acer