1. In order to begin a business, $200,000 is required. You open a savings account with an annual interest rate of 9%. You fund the account with an initial $700 and want to make continuous deposits coming in at $7,000 per year.

a) Create an initial value problem to model your saving account's balance as a function A of time (in years) t. Explain.

b) What is the solution to the problem in part a?

c) How many years do you need to save to reach $200,000?