Money in a Bank Account Earns Interest at a Continuous

Short Answer

Money in a bank account earns interest at a continuous rate of 6% per year, and payments are made continuously out of the account at the rate of $10,000 per year. The account initially contains $100,000. Write a differential equation for the balance, B, in the account in t years and use it to find how many years it will take for the account to run out of money. Round to 1 decimal place.