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(b) On Sophie's 30th birthday, she plans to make 10 annual payments ( $1,000 of each payment)
into her employer's retirement plan. The first payment will be made at the end of year 1 . After
making these 10 annual payments, Sophie then stops making payments into her plan and keeps
her money in the savings plan untouched for 25 more years. On the other hand, on Peter's 40th
birthday, he plans to make annual payments ( $1,000 of each payment) into his employer's
retirement plan. He will make the first payment on his 41st birthday and continue these payments
until he is 65 years old. If Sophie's and Peter's retirement plans earn interest of 6% per year, how
much will they have accumulated (principal plus interest) when they reach 65 years old?

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  • 1. (b) On Sophie's 30th birthday, she plans to make 10 annual payments ( $1,000 of each payment) into her employer's retirement plan. The first payment will be made at the end of year 1 . After making these 10 annual payments, Sophie then stops making payments into her plan and keeps her money in the savings plan untouched for 25 more years. On the other hand, on Peter's 40th birthday, he plans to make annual payments ( $1,000 of each payment) into his employer's retirement plan. He will make the first payment on his 41st birthday and continue these payments until he is 65 years old. If Sophie's and Peter's retirement plans earn interest of 6% per year, how much will they have accumulated (principal plus interest) when they reach 65 years old?