Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone? Responses A $400$400 B $500$500 C $700$700 D $800
Let the amount invested in stocks be $x$ and the amount invested in bonds be $1200 - x$.
The interest earned from stocks is $0.09x$, and the interest earned from bonds is $0.06(1200 - x)$.
The total interest earned is $0.09x + 0.06(1200 - x)$, which is equal to $96$.
Expanding, we get $0.09x + 72 - 0.06x = 96$.
Combining like terms, we get $0.03x + 72 = 96$.
Subtracting $72$ from both sides, we get $0.03x = 24$.
Dividing both sides by $0.03$, we get $x = \dfrac{24}{0.03} = 800$.
Therefore, the amount invested in stocks is $\boxed{800}$. Answer: $\boxed{(D)}$.