simple steps by using formula. no calculator or excel.

APR Future value with periodic rates Denise has her heart set on being a millionaire She decides that at the end of every year, she will put away $4,600 into hor " want to be a millionaire account at her local bank. She expects to earn 65% annually on her account a. How many years must Denise faithfully put away her money to succeed at becoming a millionaire? b. If Denise switches to a monthly savings plan and puts one-twelfth of the S4 600 away each month (8383 33). how much will she have in 43 years at the 6.5% c. Why is the future value under the monthly savings plan more than the $1,000,000 goal? Next, let's assume Denise is now thirty-five years old and thus has thirty years for saving toward her one-million dollar goal She anticipates an APR 0f 9.5% on her investments d. How much does she nood to save each year to become a millionaire by age sixty-five if she puts money away annually? e. How much does she need to save if she puts money away monthly? 1 Why does it take more per month when she is putting money away to 5% than when she was earning a lower rate of 6.5% over the 43 years? a. It Denise puts away $4600 at the end of each year and earns 6,5% annually on her account how many years must she faithfully put away her money to succeed at becoming a millionaire years (Round to two decimal places.)