Graph the bank-account function f in Example 1(a) on page 340, holding B fixed at B = 10, 20, 30 and letting t vary. Then graph f, holding t fixed at t = 0, 5, 10 and letting B vary. Explain what you see.

Example 1

Give a formula for the function M = f(B,t) where M is the amount of money in a bank account t years after an initial investment of B thousand dollars, if interest accrues at a rate of 5% per year compounded (a) Annually (b) Continuously.