Investment model An investment account, which earns

Chapter 7, Problem 102

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Investment model An investment account, which earns interest and has regular deposits, can be modeled by the initial value problem B_1t2 = aB + m for t 0, with B102 = B0. The constant a reflects the monthly interest rate, m is the rate of monthly deposits, and B0 is the initial balance in the account. Solve the initial value problem with a = 0.005, m = $100>month, and B0 = $100. After how many months does the account have a balance of $7500?

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