Problem #3 An initial investment of $3,500 is to be made in one of four accounts with varying rates and compounding per year. Account A: Continuous compounding at a rate of 6.7% per year. Account B: An annual growth rate of 6.9% per year. Account C: An annual rate of 6.85% compounded daily. Account D: A savings account (0% interest) to which you add $10 every week. (a) Create an input/output table with the input, t, defined as the number of years since beginning your "investment" and the output rows/columns being the balance of a given account after t years. Determine a formula for A(t), the balance of Account A after t years. Determine a formula for B(C), the balance of Account B after t years. Determine a formula for C(t), the balance of Account Cafter t years. Determine a formula for D(t), the balance of Account Dafter t years. (b) Which account is growing the fastest? Explain how you determined this be as specific as possible. (c) Explain how you could use Excel and the solver to determine when the balance of Account C is exactly equal to Account D. (d) Perform the steps described in part (c) and write a sentence interpreting the point found. Highlight the row in the table where your solution is visible. (c) Which account has the largest balance after 10 years? What about 20 years