(a) 200,000 USD is borrowed at a rate of 15% interest per year com- pounded continuously. If 5,000 USD is paid per month for the first two years, after which time 2,000 USD per month is paid, when...

Extracted text: (a) 200,000 USD is borrowed at a rate of 15% interest per year com- pounded continuously. If 5,000 USD is paid per month for the first two years, after which time 2,000 USD per month is paid, when will the debt be cleared? Use the continuous approximation for the payments. (House mortgages keep separate buckets for interest and principle. Here we are assuming one bucket which is principle added with interest.)