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Suppose that 2700 is borrowed for two years at an interest rate of 4% per year, compounded continuously. Find the amount owed, assuming no payments are made until the end.One number is 6 times as large as another. The sum of their reciprocals is 49/6. Find the two numbers.Abby opened an account with a deposit of 3,000. She did not make any additional deposits or withdrawals. The account earns simple annual interest. At the end of 8 years, the balance of the account was 3,600. What was the annual interest rate on this account?What is the total interest to be paid on a 2 year \text{:3000} loan at 16% p.a. flat interest?An initial amount of \$3100 is invested in an account at an interest rate of 3.5% per year, compounded continuously. Assuming that no withdrawals are made, find the amount in the account after three years.