Emma has half of her investments in stock paying a 9% dividend and the other half in a stock paying 11% interest. If her total annual interest is $420, how much does she have invested?

x/2 x .09 =y
x/2 x .11= z

y + z = 420
((x/2) x .09) + ((x/2) x .11) = 420

.09x/2 + .11x/2 = 420
.2x/2= 420
.1x=420
x=4200

Plug that value back into the originals to check

4200/2 x .09 = 189
4200/2 x .11 = 231
-------
420

She invested 4200 dollars

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-07-21T06:20:16-04:00

If her total annual interest is $420. Then the amount of invested will be $4200.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

Emma has half of her investments in stock paying a 9% dividend and the other half in a stock paying 11% interest.

If her total annual interest is $420.

Then the amount of invested will be

Let x be the invested amount.

0.09(x/2) + 0.11(x/2) = 420

(x/2) (0.09 + 0.11) = 420

x/2 = 2100

x = $4200

More about the percentage link is given below.

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