(Solved): Derek plans to retire on his 65 th birthday. However, he plans to work part-time until he turns 70. ...

Derek plans to retire on his 65 th birthday. However, he plans to work part-time until he turns $$70.00$$. During these years of part-time work, he will neither make deposits to nor take withdrawals from his retirement account. Exactly one year. after the day he turns $$70.0$$ when he fully retires, he will begin to make annual withdrawals of $$\$143,161.00$$ from his retirement account until he turns 93,00 . He he wil make contributions to his retirement account from his 26 th birthday to his 65 th birthday. To reach his goal, what must the contributions be? Assume a $$5.00\%$$ interest rate. Answer format: Currency: Round to: 2 decimal places. Derek plans to retire on his 65 th birthday. However, he plans to work part-time until he turns 73.00. During these years of part-time work, he will neither make deposits to nor take withdrawals from his retirement account. Exactly one year after the day he turns 73.0 when he fully retires, he will begin to make annual withdrawals of $$\$104,493.00$$ from his retirement account until he turns 91.00. After this final withdrawal, he wants $$\$1.70$$ million remaining in his account. He he will make contributions to his retirement account from his 26 th birthday to his 65 th birthday. To reach his goal, what must the contributions be? Assume a $$8.00\%$$ interest rate. Answor format: Currency: Round to: 2 docimal places.