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?

Rose has greater total amount of money than Dennis by $230.8 .

Step-by-step explanation:

Formula

Amount = Principle + Simple interest

As given

Rose and Dennis each open a savings account at the same time.

Rose invests $2,600 in an account yielding 4.1% simple interest for 9 years .

Put all the values in the formula

Simple interest = $959.4

Thus

Amount = $2600 + $959.4

Amount = $ 3559.4

Thus total amount in the Rose saving account is $3559.4 .

As given

Dennis invests $2200 in an account yielding 5.7% simple interest for 9 years .

Put all the values in the formula

Simple interest = $1128.6

Thus

Amount = 2200 + 1128.6

Amount = $ 3328.6

Thus total amount in the Dennis saving account is $ 3328.6 .

As clearly Rose has greater amount of money as compared to Dennis .

Greater amount Rose has = Amount in the Rose saving account - Amount in the Dennis saving account .

Put values in the above

Greater amount Rose has in saving account  =  $3559.4 - $3328.6

                                                                           =  $ 230.8

Therefore the Rose has greater total amount of money than Dennis  by $230.8 .

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step-by-step explanation: