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Brandon has decided to retire once he has $1,000,000 in his retirement account. At the end of each year, he will contribute $7,000 to the

Brandon has decided to retire once he has $1,000,000 in his retirement account. At the end of each year, he will contribute $7,000 to the account, which is expected to provide an annual return of 6.2%. How many years will it take until he can retire?

A) 36 years B) 43 years C) 38 years D) 32 years E) 37 years

Suppose Brandons friend, Jeff, has the same retirement plan, saving $7,000 at the end of each year and retiring once he hits $1,000,000. However, Jeffs account is expected to provide an annual return of 7.9%. How much sooner can Jeff retire?

A) 5 years B) 8 years C) 6 years D) 7 years E) 4 years

After 25 years, neither Brandon nor Jeff will have enough money to retire, but how much more will Jeffs account be worth at this time?

A) $162,869 B) $215,877 c) $139,984 D) $107,938 E) $109,283

Brandon is jealous of Jeff because Jeff is scheduled to retire before him, so Brandon decides to make whatever end-of-year contribution is necessary to reach the $1,000,000 goal at the same time as Jeff. If Brandon continues to earn 6.2% annual interest, what annual contributions must he make in order to retire at the same time as Jeff?

A) $9,873 B) $16,452 C) $13,361 D) $8,408 E) $8,226

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