Using either logarithms or a graphing calculator, find the time required for the initial amount to be at least equal to the final amount. $8000, deposited at 8% compounded quarterly, to reach at least $9000 The time required is year(s). (Type an integer or decimal rounded up to the next quarter.) Find the periodic payment which will amount to a sum of $21000 if an interest rate 7% is compounded annually at the end of 14 consecutive years. The periodic payment is $ (Round to the nearest cent.) What sum deposited today at 9% compounded annually for 12 years will provide the same amount as $1000 deposited at the end of each year for 12 years at 5% compounded annually? What sum would have to be deposited today at 9% interest compounded annually? $ (Round to the nearest cent.) A borrower had a loan of $30,000.00 at 6% compounded annually, with 8 annual payments. Suppose the borrower paid off the loan after 4 years. Calculate the amount needed to pay off the loan. The amount needed to pay off this loan after 4 years is $ (Round to the nearest cent as needed.)