1
answer
0
watching
64
views
13 Nov 2019
20. My Notes Ask Your Teache -15 points BerrApCalc7 9.1.059 Suppose that you now have $9000, you expect to save an additional $2000 during each year, and all of this is deposited in a bank paying 10% interest compounded continuously. Let y(t) be your bank balance (in thousands of dollars) t years from now. (a) Write a differential equation that expresses the fact that your balance will grow by 2 (thousand dollars) and also by 10% of itself. [Hint: See the Predicting wealth Example.] y- (b) Write an initial condition to say that at time zero the balance is 9 (thousand dollars). y(0)- (c) Solve your differential equation and initial condition. (d) Use your solution to find your bank balance t = 20 years from now. (Round your answer to two decimal places.) thousand Need Help? RedWarech
20. My Notes Ask Your Teache -15 points BerrApCalc7 9.1.059 Suppose that you now have $9000, you expect to save an additional $2000 during each year, and all of this is deposited in a bank paying 10% interest compounded continuously. Let y(t) be your bank balance (in thousands of dollars) t years from now. (a) Write a differential equation that expresses the fact that your balance will grow by 2 (thousand dollars) and also by 10% of itself. [Hint: See the Predicting wealth Example.] y- (b) Write an initial condition to say that at time zero the balance is 9 (thousand dollars). y(0)- (c) Solve your differential equation and initial condition. (d) Use your solution to find your bank balance t = 20 years from now. (Round your answer to two decimal places.) thousand Need Help? RedWarech
Patrina SchowalterLv2
31 Jan 2019