A woman plans to invest $x$ dollars. Her investment counselor advises her that a safe plan is to invest $30\%$ of her money in bonds and $70\%$ in low risk stocks. The bonds currently have a simple interest rate of $7\%$ and the stock has a dividend rate (like simple interest) of $9\%$.

1. Write an expression for the annual income that will come from the bond investment.

   Hint (a):

   Since she will invest $30\%$ of $x$ dollars in bonds, $0.3x$ represents the money she has in bonds.
   Since she makes $7\%$ interest on the bonds, multiply that amount by $0.07$.

   Answer (a):

   $B = 0.07\left(0.3x\right)$ or $B = 0.021x$

2. Write an expression for the annual income that will come from the stock investment.

   Hint (b):

   Refer to part (a).

3. Write an equation and solve it to calculate out how much the client needs to invest to have an annual income of $$5,000$.

   Hint (c):

   $B + S = 0.084x$

   $0.084x = 5000$