Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, and Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?

For simple interest, total amount is principal × (1 + rate × time). Rose’s account grows to $2,600 × (1 + 0.041 × 9) = $3,559.40. Dennis’s grows to $2,200 × (1 + 0.057 × 9) = $3,328.60. Rose has $3,559.40 − $3,328.60 = $230.80 more, so the correct choice is “Rose has $230.80 more than Dennis.”

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