Question: Please help me with a differential equation word problem involving compound interest. 4. Suppose you have a bank account that grows by 6% every year

Please help me with a differential equation word problem involving compound interest.

4. Suppose you have a bank account that grows by 6% every year and let A(t) be the amount of money in that account in year t. Suppose further that you withdraw money at the rate of $1,000 per year and that the account initially contains $10,000.

(a) Compose an initial value problem to describe this scenario.

(b) Solve the initial value problem.

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