4. A woman worked for 30 years before retiring. At the end of the first...

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4. A woman worked for 30 years before retiring. At the end of the first year of employnent she deposited 5,000 into an account for her retirement. At the end of each subsequent ar of emplo ment, she deposited 3% more than the prior year. The woman nade a total of 30 deposits. She will withdraw 50,000 at the beginning of the first year of retirement and will make annual withdraws at the beginning of each subsequent year for a total of 30 withdrawals. Each of these subsequent withdrawals will be 3% more than the prior year. The final withdrawal depletes the account. The account earns a constant annual effective interest rate. Calculate the account balance after the final deposit and before the first withdrawal. 5. A perpetuity costs 77.1 and makes annual payments at the end of the year. The perpetuity pays 1 at the end of year 2, 2 at the end of year 3,... , n at the end of year (n +1). After year (n +1), the payinents remain constaut at n. The annual effective interest rate is 10.5%. Calculate n

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