(8 points) Peter opens a bank account with an initial balance of 1500 dollars. Let b t be the balance in the account at time t. Thus b 0 of 3% per year. Peter makes deposits into he account at a con nuous rate o s dollars per year. Suppose that s 0 600 and hats (Peter can save more as his income goes up over time). 1500. The bank is paying interest at a continuous rate s ncreasing at a continuous rate of % peryear (a) Set up a linear system of the form db Tm6+ m128, dt ds m103 m12 m21945 12202 (b) Find b(t) and s(t) b(t) s(t)