Emily wants to buy a car, there is a dealership giving her 0% financing for 24 months. The price of the car is $12000 and the monthly payment is quoted as $505. i) Emily puts her $12000 in a savings account earning 6% annual interest and plans to withdraw $505 each month for the car payment. Express the monthly rate of change of this account with a differential equation. ii) Derive an equation expressing the money change in the account as a function of time. iii) What would be the account balance after 24 months.

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