At what rates did she invest? $1400 invested at % $900 invested at %

Mathematics

2 answers:

Mars2501 [29]3 years ago

5 0

9514 1404 393

Answer:

$1400 at 8%
$900 at 10%

Step-by-step explanation:

The 1-year interest is simply the invested amount times the interest rate.

Let r represent the lower interest rate. Then r+0.02 is the higher rate, and the total interest earned is ...

1400r + 900(r +.02) = 202

2300r +18 = 202 . . . . . . . . . .simplify

2300r = 184 . . . . . . . . . .subtract 18

r = 184/2300 = 0.08 = 8% . . . . . . divide by the coefficient of r

$1400 was invested at 8%.

$900 was invested at 10%.

8090 [49]3 years ago

5 0

$400 invested at 8%
$900 invested at 10%

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